2

OverviewUbenicbt*

(n) BOOKS, EDITORSHIPS, PERSONAL ACCOUNTS, DEDICATIONS, AND HISTORY

(b) ESSENTIAL PAPERS ON CHEMICAL EVOLUTION, BRAlNTHEORY, CHAOS,

ENDOPHYSICS. EXPERl/l.IENTAL PROPOSALS, AND LAMPSACUS*

(a) BOOKS

Scientific Books

I. Endopbysik: Die "Welt des hmeren Beobach­ters, ed. P. Weibel. Berlin: Merve, 1992,xii-183pp. [197J

2. Encounterwhh Chaos: SelfOrganizedHi­erm'clucal Complexity in SemiconductorExperimentS (coauthor, with-]. Peinke,J. Parisi and R. Stoop). New York:Springer, 1992, vi-289pp. [203J

3. Das Flammenscbwelt: Oderwie hermetirchin die Schnittstelle des Mikrokonstruktivis­nIlIS? Bern: Benreli, 1996, 146pp. [258J

4. Endaphysics: The World as an Intttfoce (ed.P. Weibel). Singapore: Vlorld Scientific,1998, xvi-204pp. [298]

5. Das Medium des W'issms: Das Menschen­Hcht auf111/onnation (coauthor, with A.P. Schmidt). Bern: Haupt, 2000, xxi­189pp. [355J

Editorships

I. Bifurcation Theory andApplications in Sci­emific Disciplines (ed. with O. Gmel).New York: Annals oftbe New YOrk Acad­,my of Sciences, vo!. Jl6, 1979, 708pp.[55J

2. Ime171ational Symposium on InformationPhysics (with 1. Tsuda, B. A Hubermanand 1. Percival, eds.), Kyushu Instituteof Technology. IizublFukuoka,Japan:Fujiki Pub!., 1992, x-142pp. [202]

3. QUllntum Mechanics, Diffusion and Cba­otic Fractals (with M. S. EI Naschie and1. Prigogine, eds.). Oxford: Elsevier­Pergamon, 1995, x-221pp. [247J

4- Cbaos,lnjon1J.ation and Diffusion in Quan­tum Physics (with M. S. El Naschie andG. Ord, eds.). Special Issue of Chaos,Solit.'" & Fractals 7 (5), ix-208pp. [262J

* 'Vith reference to the "Complete Bibliography" (publikationsliste) [bold, in brackets]on pp. 23sq.

20 O.E. ROSSLER

Personal Account

1. Jonas' TYeli: Das Denken cines Killdes(with R. Rossler). ReinbekIHamburg:Rowohlt, 1994, 96pp. Reissued as: DasDenkm cines Kindes: Elltwickllmg, Persiill­li'bkeit, Geftible, 1998. [225J

Booklets

1. Auswlwelt - Innenwelt - Uberwelt (mitP. Weibel), Aktuelles Denke11, LuzernerVorlesungen und Gespdiche (R. Stett­ler, cd.). Basel-Frankfurt: Stroemfeld(Rater Stern), 1997, 36pp. [290]

2. Imerventio11tll- f7ertikale und !Jo1-izontnleGrenziihenchreit1mg (with R. Stettler).Aktllel/es Denkm, Luzerner Vorlesungenund Gesprache. Basel-Frankfurt/Main:Stroemfeld (Rater Stern), 1997, 36pp.[291]

3. Das la,;'mde Kn",e' (with J. W. Jonas).Tiibingen: Schwabische Verlagsgesell­schaftAnton Brenner, 1998, 32pp. [312J

4. Goethe von hintell - Als Kunstblume undMensch, coauthorwithl. Eichenbrenner,H. Fuchs, G. der Buddha, K. Hardter,L. Heinle, J. w. Jonas, B. K:1sparak, C.Kieser,). Komer, S. Sahle, S. Schneider,K Schreiber, M. Spaich, U. Steiger lindU. Stolte). Ttibingen: Klopfer, Meyerand Co, 1998, 141pp. [313]

5. Encouraging Lampsacus: The Inumet asa Chancefor a'Alulticllltllral Societ)' ofMi­norities (with w: Kriese). Rottenburg:Mauer, 2001, 62pp. [368J

Festschrift, Dedications

I. G. Baier and M. Klein (eds.), A ChaoticHierarchy. Singapore: vVorld Scientific,1991, x-397pp. Festschrift for O.E.R.on the occasion of his 50th birthday.[176]

2. K. Svozil and M. S. El Naschie (eds.),Comple.·dties. Special issue of Chaos, Soli­tons & Fractals 10, no. 6 Gune), 1999,dedicated to O.E.R. [349]

3. H.H.Diebner, 'T. DruckreyandP. vVei­bel (eds.), Sciences of the l1ltelface. Pro­ceedings of an International Sympo­sium, Center for Art and .Media, Karls­ruhe, l\1ay 18-21, 2000, held in honorof O.E.R.'s 60th birthday. Tiibingen:Ganista, 2001, viii-330 + CD. [371]

History (Chaos Pioneers)

I. R. H. Abraham and Y. Ueda (eds.), TbeChaosAvant-Garde: Memories ofthe EarlyDays ofChaos Theory. Singapore: WorldScientific, 2000, viii-221pp.

SEE ALSO

I. R. H. Abraham, L. Gardini and C: Mira,Chaos in Dim-ete Dynamical Systems. San­ta Clara, Cal.lNew York: Telos/Sprin­ger, 1997, xxv-246pp.Appendix 5: llHis_tory, Part I", by I. Gumowski and C.Mira [1980], 167-207 (refs. R4-RI6).

2. Zhang, S.-Y. (ed.), Bibliograpbycm Cbaos.Singapore: World Scientific, 1991,514pp. [esp. refs. 5575-5603].

3

Complete BibliographyVollstiindige Publikationsliste*

[1] Longter111- Immunization of A/bino Mice 'with Bovine Gamma Globulin[Dauerimmunisierung von Albinomausen mit Rinder-g-Globulin]. In­augural dissertation, University ofTiibingen, 1966, 26pp.

Experimentalwork with mice. The anima/s were were given daily injections ofapm-ijiedprotein over up to fl yem: They acquired immune tolerance to the main component, finddeveloped the lymphatic signs ofchronic irifecton, but 110 amyloid. (pan of the amyloidresearch project ofmentor Erich Letterer.)

[2] "On the animal-man problem as seen from the viewpoint of the theo­retical biology of behavior" [Zum Tier-Mensch-Problem aus der Sichtder Theoretischen Verhaltensbiologie]. Schweizer Rundschau 67, 529­532.

An epigenetic function change (tin explain the origin of typically human behavior. It isrooted in the understandillg ofmutual benevolence.

r97 1

[3] "A system theoretic model of biogenesis" [Ein systemtheoretischesModell zur Biogenese]. Z. Naturforsch. 26 b, 741-746.

A 1'eaction-kinetic implementation ofthe principle ofself-inbibition ofenergy dissipationis indicated, The remit is (111 "autocatalysis ofautocatalyses." It occurs in f1 large dass ofspontaneously forming, far-from-equilibrium soups,

[4] with D. Hoffmann2, "A chemical 'universal circuit'." In 4tb InternationalBiophysics Congress, August 7-14, 1971, Abstracts of contributed papers,

* This "Current List ofPublications" includes public presentations, video/movies, tv-Spots,contributions to art-exhibitions, etc. The sequence of authors is-indicated by superscripts.

O.E.ROSSLER

p. 49 (#18a 1/4). Moscow: International Union for Pure and AppliedBiophysics.

Both a sinusoidal and a rectangular time series can be generated by tbe same abstractreaction scheme, depending on parameW's.

'97 2

[5] "Self-reproduction and serial mesage transfer: two related problems."Bull. Math. Biophysics 34,343-353.

Discrete building blocks are needed to avoid an error catastrophe, both in evolution and indigital information processing,

[6J "A principle for chemical multivibration." J. Theoret. Bioi. 36,413-417.

A 2-variable multivibrating "eaction-kinetic switching circuit is described,

[7] "Basic circuits of fluid automata and relaxation systems" -[in German].Z. NatUlforscb. 27 b, 333-343.

A "eview ofliquid automata and related systems is given, in the form ofo list ofreactionscbemes in biocbemical notation and tbe COlTesponding mte equatio1lS.

[8] ,vith D. Hoffmann', "Repetitive hard bifurcation in a homogeneous re­action system." In Analysis and Simulation ofBiochemical Systems (H. C.Hemker and B. Hess, eds.), pp. 91-102. AmsterdamlNew York: NorthHolland.

A model of the Belotlsov-Zhaboti1lSky reaction sbowing multivibrating behavior is hzdi­Cflud and simulated.

[9] ,vith F. F. Seelig', "A chemical reaction flip-flop with one unique switch­ing input." Z. Natmforscb. 27 b, 1441-1444.

A bistable reaction s),stem can be tdggered back andforth by tbe same signal illp1ltl form­ing aso-called T flip-flop.

[10J ,vith F. F. Seelig', "A Rashevsky-Turing system as a two-cellular flip­flop." Z. NatUlfomb. 27 b, 1444-1448.

The on'gt'nalmorphogenetic reaction model ofAlan Tun"ng is sh(IWn to aet as a Tflip-f1op.

[11] '{Design for autonomous chemical growth under different environmen­tal constraints." Progr. Tbeor. Bioi. 2,167-211.

Gemral properties of amtt"1l110usly growing and/or se/f1l1ailltaining chemical systems,eitber well-stirred or confined by membranes or attached to supporting globulesl are de­scribed. The connection to cbain reactions is exploited.

PUBLICATIONS 11973-75

'973

[12] "Design for chemical automata in homogeneous and reaction-diffusionkinetics." In 5tb Norbeast Regional Meeting American Cbemical Society,Rochester, N.Y., Oct. 14-17 (B. W Rossiter, E. P. Przybylowicz and H.Saltsburg, eds.). Abstracts, p. 79 (# 97). Rochester: American ChemicalSociety Publications.

Liquid and fluid automata are reviewed with an eye to Hom's theory of mass-actionkinetics.

'974

[13] "A synthetic approach to exotic kinetics" (with examples). In Physics andMathematics of the NmJous System (M. Comad, \"1. Guttinger and M.DalCin, eds.). Springer-Verlag, Lecture Notes in Biomathematics 4,546­582.

A detailed catalogue ofmany basic cireuits in abstmct reaction kinetics is presented alongwith equations and simulations.

(14) "Chemical automata in homogeneous and reaction-diffusion kinetics."Springer-Verlag, Lecture Notes in Biomathematics 4,399-418.

Chemical automata moe shown to be computation-universal. Together ~vitb·tbeir comim,relaxation systems, they exhibit 1lOlltriviai (oscillatory, excitable, learning-type) dynami­cal behavior, botb U71der well-stirnd tl11d under 110nstirred (or membrane-bound) condi­tions. Erdos' theory ofgrawing automata is shawn to be embedded in an evolutionarysoup.

[15J "Adequate locomotion strategies for an abstract organism in an abstractenvironment: arelational approach to brain function." Springer-Verlag,Lecture Notes in Biomathematics 4,342-369.

A deductive tbeory of"brains" (locomotion-control systelus) is presented. Tbey are definedby tbeir solving a certain well-posed NP-complete optimality problem, up to a pre-setUTor bound: the "traveling-salesman-witb-nlarmdocks"problem. A11 equation for a brain(acN/ally several) is included. .

'975

[16J "A multivibrating switching network in homogeneous kinetics." Bull.Matb. Bioi. 37, 181-192.

A 3-variable cbemicalmultivibrator is described.

[17] "Steps toward a temperature-compensated chemical clock." San DiegoBiomedical Symposium 14,99-104.

O.E. ROSSLER

The 7-eactiol1 scheme ofa simple tempernNlre-compemated chemical oscillat07; mimickingthe qualitative behavior ofa biological dock, is presented and simulated.

[18] "Mathematical model ofa proposed treatment of early infantile autism:facilitation of the 'dialogical catastrophe' in motivation interaction.'J SanDiego Biomedical S)111pOsium 14, 105-110.

'Rvo coupled bmin-equations (autonomous optimizer ofthe type described previously areconsidered in a qualitative fasbion, They predictably cross a threshold towards the interac­tional acquisition ofdeliberate mutual cross-optimization (benevolence). The latter im­plies personhood. A tbempy for both infantile autism and animal autism is implicit.

[19] "Dynamic network model of an immune system" [abstract]. In Fiftb 111­ten/atiol1al Biopb),sics C01lIi"ess, Aug. 4-9,1975. Abstracts, p. 120 (# 414).Copenhagen: International Union for Pure and Applied Biophysics.

An equation for a network model ofan immune system is indimted. Its asset over othermodels is tbat it does 710t "explode, II that is, does not generate a spontaneous autocatalytic"autoimmune response" as pm"! ofits normal way offimctionillg.

[20J "Prescriptive relational biology" [abstract]' Biopb),s. J. 15, 116a.

Deductive biology is applied to predict pt"opt7ties ofbacterial chemotnctic behavior.

[21J "Liebig and Non-Liebig type behavior of autonomously growing andself-maintaining dynamical systems in chemistry, biology and sociol­ogy." In Management Sciences 1975 XXlllnte17lational Nleeting, Kyoto,July 24-26, 1975 (M. K. Starr and L. S. Simon, eds.). Abstracts, p. 64 (#S14.2). Kyoto and Providence, R.I.: The Institute of Management Sci­ences Publications.

Autonomously g-rowillg and se!fmaintnining systems, 110 mntter what their origin, aretypically characterized by one environmentalfactor being decisive C1rate-:limiting'? at atime - mucb bolds tnu for the plal/ts growing in a Liebig glass bouse.

[21aJ Review ofK. P. Hadeler, Matbematik fir Biologen. Heidelberg: Springer,1974 (Heidelberger Taschenbiicher, 129). Bull. Matb. Bioi. 37, 103-104.

[22] "Prescriptive relational biology and bacterial chemotaxis." J. Tbeoret.Bioi. 62, 141-157.

A model of the (Ibrains" ofEsclmicbia cali lind Salmonella typbimuriul11 is described "'Zdetail.

[23J "A relational approach to the problem of man-animal behavior com-o

PUBLICATIONS / 1976

parison." In Metbods ofInference from Ani1llal to Human Behavior (1\1. vonCranach, ed.), pp. 103-117. Chicago: Aldine.

The doctrine ofbrain size as an explanation oflnl1111111 behavior is shown to be in1leed ofreplacement by afimetional (epigenetic) approach to the origin ofpersonhood.

[24J "Interactional anthropogenesis: a formal approach." In P1'OCeedings oftbeHuman Ecology Meeting Vienna 1975 (II. Kn6tig, ed.), vol. 2, pp. 373­378. St. Saphorin: Georgi.

The dawning ofthe tmderstandingofbenevolence, in motivation interaction, is desnibed.

[25] ((Cross stimulation: theoretical implications." In Brain Stimulation Re­ward (A. vVauquier and E. T. Rolls, eds), pp. 600-605. Amsterdam:North-Holland.

A rather detailed fimctional aUOlmt ofhow two autonomous direction optimizers withcognition acquire a state of l1tufUal tmst-in-benevolence is possible using a new type ofpictorial presentation.

[26] "Deductive theory of chronobiological systems." In Proceedings IEEEIntemational Conference Oybmletics and Society 1976, pp. 321-323. NewYork: The Institute of Electrical and Electronics Engineers.

Many dJ17J11obiologic,a1 features ca11 be predicted from first principles, mucb as those oflocomotion control systems can, for example.

[27] "Interactional anthropogenesis: an ethomathematical surmise." Collo­quitim 11lte171atiollole 1, 183.

The theoty ofan epigenetic acquisition ofpersonhood is' outlined.

[28] "Chaotic behavior in simple reaction systems." Z. Natmforscb. 31 a, 259­264.

Several basic circuits offluid automata and relaxation systems are sbawn to be able toproduce cbaos. A simulation of "spiral chaos" hI its singular-perturbation form is pre­smud,

[29] "An equation for continuous chaos." Pbys. Lett. 57 A, 397-398.

Spiral chaos in a 3-variable ordinary differential equation involving a single nonlinear(second-order) terot is demonstrated.

[30J with K. D. Willamowski', "Geometry of titration systems: an applica­tion of Horn's theOly to the determination of pK values." Z. l\Tatur­Jarscb. 31 a, 408-413 .

. Fritz Hom's and Martin Feinberg's algebraic theoty ofquadratic mass-action systems isput to a specific use.

28 O.E.ROSSLER

(31J HChemical turbulence: chaos in a simple reaction-diffusion system," Z.NatU11omb. 31 a, 1168-1172.

Chaos ill f1 prototype Rnshevsky-Turing system is demonstrated, with differf1lt types ofattrflctQrS (including spiral chaos) find different types ofsymmetry-breaking.

[32] "Different types of chaos in two simple differential equations." Z. Natur­10mb. 31 a, 1664-1670.

Spiral-type, screw-type find Lorenz-type (haos, 1'espective!y, firc desribed in two maxi­mally simple equatiom, the first involving one, the sevond two, nonlinear terms. Twointe1'twinedfolded-band type chaotic attractors arc also found in the lntter case. Numeri­ca/ simulations 011 both finalogue and digital computers firc ured.

[33J "CHAOS: different types ofchaos in two simple differential equations"(in collaboration with R. Rossler' and T. lViehr'). Super-8 mo\~e \\~th

sound (6 min.). Copy sent to the Institut fur den Vilissenschaflichen Film,Gottingen, in 1979 [Computer-Mo\~e; see also 62].

Au analogue-computer-generated audiovirual display ofcbaos ispresented. Tbe equatiousofmotion oftbe synonymous paper [32] are featured in image and sound. A stenoscopicprojection of tbe state point in tbree-dimensional state 'space, is provided in 1-eal time,wbile simultaneously tbe time bebavior ofone of tbe tbree variables bas been put on tbesound track to become audible -as the "Sound ofChnos." The latter is very characteristic,1'tlnging from "hoarse singing" via 'YlOring" down to tbe lslow rattling" so familiarfrom an idling motorcycle listened to in the dark. The only difftrence between these 3noises is tbe selected speed (x 1000, x 100, x 10, respectively) on tbe analogue compUte1:Lorenz-type chaos soumis mucb more l'glltturnl. II In addition, many oftbe hijurcaNousare made visible and audible as aparameter (potentiometer on the analogue computer) istwiddled very slowly, compared with the calculation speed.

1977

[34J "Chaos in abstract kinetics: two prototypes." Bull. Math Bioi. 39,275­289.

A description ofboth spiral- andscrew-type chaos is given, along with many origami-typepaper models an,d computer simulations.

[35] llDeductive biology and general interaction scheme." Colloquium[ntemationak 2, 16-18.

The llgeneral interaction scheme" ofKniitig is shown to be close in its spirit to deductivebiology.

[36] mth H. Knotig', "Methods and models." Colloquinm [ntemationale 2,110-111.

The methodology ofdeductive ecology is outlined.

PUBLICATIONS / 1977

[37] "Horseshoe map chaos in the Lorenz equation." Phys. Lett. 60 A, 392­394.

A second prototype attrnetor in the Lorenz equation - ofthe smoothly fiJlded-over type onone or two twisted bands - is demonstrated.

[38J uQuasiperiodic oscillation in an abstract reaction system" [abstract].Hiophys.]' 17,281a.

A 3-variable reaction scheme derivedfrom the 2-variable Dreitleill-Smoes Qscillator showslimit cycle bebaviolj chaos and quasiperiodic oscillations dependent on parameters.

[39] "Chaotic oscillations in chemical and biochemical systems" [in German].In Chemiedozenten-Tag"ng Marburg, March 21-2 5 (G. Maier, org.), p. 67.Marburg: Vvenzel Publisher.

How to obtain chaos in the Belourov-Zhabotimky reaction.

[40] IIToroidal oscillation in a 3-variable abstract reaction system. ll Z. Natur­fomh. 32 a, 299-301.

A 3-variable toroidal attractor in abstract kimticr is demonstrated with simulatiom.

[41] "Syncope implies chaos in walking-stick maps." Z. Natmforsch. 32 a,607-613.

SYllCOPJ in the musical sense (a cbange ofrhythm) is asign ofchaos in realistic systems liketbe dripping faucet.

[42] "Chemical turbulence: a synopsis." In Sy"'rgetics: A Workshop (H. Haken,ed.), pp. 174-183. New York: Springer-Verlag.

A review ofcbemical turbulence in space-dircretized (hi-cellulm) "eaction-diffusion sys­tems is presmted, combined with tbe picnl1'e ofarandpiperwatebing periodicwater wavessplash chaotically asbore.

[43J "Continuous chaos." In Synergetics: A Workshop (H. Haken, ed.), pp. 184­199. Ne'" York: Springer-Verlag 1977.

A1any sample eqllationr and simulations are given, including a double-scroll attraetorfind a lerr contracting version ofspiral chaos with a single-quadratic tenn.

[44] with K. vVegmann, "Different types of chaos in the Zhabotinsky reac­tion." In 13th Symposium for Tbeoretical Chemirt1y, Oct. 3-5, 1977 (M.K1essinger, org.), Abstracts, p. 36. Munsrer: Institute for Organic Chem­istIy.

The second series of experimental data on (baos in tbe Zhabotimky ,"eaction, l.vbich in­cludes pbare plots, is presented.

3°

[45J

O.E. ROSSLER

"All animals are autistic." In Proceedings ofthe Second International jl1eet­ing on Human Ecolog;)', Vienna, j'l'1ay 16-21, 1977 (H. Knotig, ed.), pp.197-200. St. Saphotin: Georgi.

Animal fllltism is defined.

[46] with K. Wegmann', "Chaos in the Zhabotinskii reaction." Nature 271,89-90.

A first (NIay 77) series olcbootic experimentaldata in tbe Belousov-Zbabotinsky reactionif described.

[47] with K. \'Vegmann', "Different kinds of chaotic oscillations in the Belon­sov-Zhabotinskii reaction." Z. Naturforsch. 33 a, 1179-1183.

The second (September 77) series ofe>.:perimental data is documented.

[48J with P. J. Ortoleva2, llStrange attractors in 3-variable reaction systems."In Theoretical App"oaches to Complex Systems, Ernst Pfaffelhuber Memo­rial Symposium (R. Heim and G. Palm, eds.). Springer-Verlag, LectureNotes in Biomathematics 21,67-73.

A genuine (provable) Lorenz attrnctor is presented and simulated, along with otber newexamples ofc!Joo!;c dynamical systems.

[49] "Deductive biology: some cautious steps." Bull. Math. Bioi. 40, 45-58.

A synopsis ofa predictive first-principles tbeory of the necessary properties ofbiologicalbmillS lind immune systems is presented.

[SOJ with K. D. vVillamowski', "Contributions to the theory of mass-actionkinetics, I: Enumeration of second-order mass action kinetics." Z. Nn­tll1forsch. 33 a, 827-833.

New implications oftbe Hom-Feinberg tbeory are presented.

[51] "Simple 3-variable chaos." In Mathematical Models in Biology (K. P. Ha­deler, W. Jaeger and S. Levin, eds.), p. 17. Oberwolfach: ConferenceReport of the Mathematical Forschungs-Institut 24.

Tbe simplest (low-dissipation) spiral-chaos-producing equation is cOllSidered ill1l10re de­tail.

[52J with R. Rossler' and H. D. LandaW" "Arrhythntia in a periodically forcedexcitable system" [abstract]. In Sixth 1memational Biophysics Congress, Sept.3-9, 1978, Abstracts p. 296. Kyoto: International Union for Pure andApplied Biophysics.

PUBLICATIONS 11978-79

Cardiac an'bytlmtia and chaos nre brought togethe1; using a simple model equation, theperiodically forced c....·citable FitzHugb-BollhocjJcr-vlln der Pol equation. An c:rplicit ex­ample is indicated.

[53) uChaotic oscillations in a 3-variable quadratic mass-action system." InInternational Symposium on Mathematical TOpics in Biology (M. Yamagutiand E. Teramoto, eds.), pp. 131-135. Kyoto: Research Institute for Math­ematical Sciences Kyoto University Publications.

Chaos is demamtrated in 3-variable ecological systems oftbe Latka-Gause type.

1979

[54] "Continuous chaos: four prototype equations." In Bifurcation Theory andApplications in Scientific Disciplines, New York, Oct. 31 - Nov. 4, 1977 (0.Gurel and O.E.R., eds.). Ann. N.Y. Acad. Sci. 316, 376-392 [see 55J.

Paper models, maps, equations and mony simulatiom ofchaos-producing dynomiCflI sys­te1llS are given,

[55] Bifitrcation Theo,)' andApplications in Sciemific Disciplines, ed. byO. Gureland O.E.R. New York: Annals of the New Yo"k Academy of Sciences, vol.316,708pp.

[56] with O. Gurel', "Bifurcation to toroidal surfaces." Math. Japonica 23,491-507.

An explicit example ofa Birkhoff-type toroidal attractor ("Slinky'') is investigated,

[57] "Chaotic oscillations: an example of hyperchaos." In Nonlinear Oscilla­tions in Biology !y C. Hoppenstead, ed.), pp. 141-156. Lectures in AppliedMathematics, vol. 17. Providence: American Mathematical Society.

A complicated four-variable ordinary differential equation, showing hyperchaos, is pre­sented, with simulations.

[58] "Chaos and strange attractors in chemical kinetics." In Synergetics farfrom Equilibrium (A. Pacaultand C. Vidal, eds.), pp. 107-113. New York:Springer-Verlag.

A review which (ontaim, among other tbings, the "thumbnail map. 11 The latter is thedecisive element in Plykin's non-explicit two-dimensional dijfeo11lorpbic map that pro­duces a strange aftraCfor oftbe S111ole-axio11l-A type.

[59] "Path optimization on the basis of direction optimization." In Progressil1 Cybernetics and Systems Research (R. Trappl, F. D. P. Hanika, and F. R.Pichler, eds.), vol. 5, pp. 546-549. New York: Wtley.

O.E. ROSSLER

The philosophy ofn two-component (optimizel'-plus-simulntoJ) mtificial brain ofthe ver­tebrate type is presented.

[60J with R. Rossler' and F. Goetz', "Chaos in endocrinology." Biophys. J.25,216a.

Venous-blood meaJ1ll'ementJ ofan apparently chaotic, hormollal pulsatile secretion in theadrenal gland are repolted. A simple piecewise-linear smooth (el) 3-val'iable model dy­namical system is indicated explicitly,

[61J "An equation for hyperchaos." Phys. Lett. 71 A, 155-157.

A maximally simple 4-variable ordinary differential equation producing a hyperchaoticattractor is indicated; along with 1111 e.'tplicit model map.

[62] with R. Rossler' and T. iViehr', Hype1"Chaos. A 3-minute addition to the"Chaos" computer mm~e of 1976 [see 33], made in March 1979.

[63J "Chaos." In Structural Stability ill Physics (YI. Guttinger and H. Eikemeier,eds.), pp. 290-309. New York: Springer-Verlag.

E;,.:amplesfrom the history ofthe mathematics ofcbaos arejuxtaposed to paper models andsiml(latioJlJ; includesfurther details on 4-variable hyperchaos.

[64] with C. Kahlert', "i~",nfree meandering in a 2-dimensional 2-variableexcitable medium." Z. Natllrfomh. 34 a, 565-570.

Cbaos in the "core" of a spiral-wave atb'ador in a 2D excitable medium is describedusing Heinz Kmfimkeh PDE solver.

[65] "Recursive evolution." BioSystems 11,193-199.

Evolution optimizes the efficiency ofthe species-generating genetic machinery (the "brainin the genome'J.

[66] with R, A. Lutz2J (fA decomposable continuous immune network." Bio­

Systems 11, 281-285.

The decomposable continuous netw01"k model of 1975 [19] is described ill detail; withanologue-computer simulations,

[67] ,,~th K. D. iYillamowski', "Irregular oscillations in a realistic abstractquadratic mass-action system. Z. Naturforsch. 35 a, 317-318. Also in Ki­netics ofPhysicocbemical Oscillators, Discussion Meeting Deutsche Bun­sengesellschaft, Aachen, Sept. 19-22, 1979 (U. Franck, ed.), "Preprintsof Submitted Papers", pp. 505-513.

PUBLICATIONS / 1980-81

Chaos is demonstrated ill a 3-variable quadratic 1l1ass-action scheme which illvolves ol1lyinvertible reactions and hCllce is '\·hemically realistic"; flS had been demanded by DickNoyes.

(68] "Chaos and bijections across dimensions." In l'lew Approaches to Nonlin­ear Proble11ls ill Dplfl11lics, Asilomar, Dec. 9-14, 1979 (I'. H. Holmes, ed.),pp. 477-486. Philadelphia: Society for Industrial and Applied Mathemar­ics.

Several three-dimensional generalizations ofEberhard Hopfs 1937 ubaker's transfor­mation" are proposed. In particulfl1j the "noodle map" (which cOlltaim the Smale solenoidas a special case) and the "pancake map" (with the fllded-towe/map, the UBig Map" andthe Yamaguti-folded-hmldkerchiefmap as special examples) are discussed; with pictures.

[69J "Chaos and turbulence." In DYllamics ofSYllergetic Syste11ls (H. Haken,ed.), pp. 147-153. New YOTk: Springer-Verlag.

"Boiling-type turbulence" is introduced. A 1-dimemional example is the hregular be­havior ofthefal/illg droplets which form ullderneatb a dripping handrail standing in therain; a 2-dimensional example is the irregular behavior of the ascending bubbles whichform on the imide ofa glass of111ineral water; a 3-dimensional example is the inte17l1it­tent vapor-puffing ofmtashed potlltoe sauce heated gently on a stove. An o.:plrmat01ymap, in 2 aud 3 D, and a simulation ofan exp/idt111ap and aset ofcoupled-oscillators (aPDE in its compmtme11ta/ized version) are included.

[70] ((A universal simulator. H In Systems Science and Science, Proceedings ofthe 24th Annual North American Meeting of the Society for GeneralSystems Research with the American Association for the Advancementof Science, San Francisco,January 7-10,1980 (E. H. Banathy, ed.), pp.143-145. Louisville, Ky.: The Society for General System ResearchBusi.ness Office, System Science Institute University of Louisville.

A design for a universal virtual1-eality is presemed tbat uses ordil1my visual input.

[71] "Classification of chaos." In lteratioll Tbeory and Applications [abstractJ.Amoneburg, May 1980 (G. Targonski, ed.), Abstracts, p. 32. Marburg:Institute of Mathematics Publications.

The (baotic hierarcby is imroduced in outline.

[72] "The gluing-together principle and chaos." In NOlllinea,. Problems ofAllalysis ill Geo11let1y alldMecbanics, Toulouse, April 4-6, 1979 (M. Atteia,D. Bancel and I. Gumowski, eds.), pp. 50-56. London: Pitman.

A '~laJlted tree-trul1k, It made up from axisymmetric (oncentric invariant A171o!d mani­folds, is partially submerged in water; outside the water, a differmt /inear flow is pi(-

33

34 O.E. ROSSLER

tured. This qualitative model is med to explain the origin ofchaos in 3-variable piece­wire-linear J1uoot/) dynamical systems as in (60].

[73] with C. Kahlert1 and A. Varmal , "Chaos in a continuous stirred tankreactor with two consecutive reactions, one exo-, one endothermic. lt InModelling ofCbelllicalReaction Systems (K. H. Ebert, P. Deuflhard and \\ZJaeger, eds.), pp. 355-365. New York: Springer-Verlag.

Chaos is shown to be possible in a 2-vnrinble chem;m/1'eactioll, with temperature actingas the tbird variable.

[74] "An artificial cognitive map system." BioSystellls 13, 203-209. Germanversion: "Ein kiinstliches kognitives Abbildungssystem." In Cyberspace:ZUlIlllledialen GesallltkllnstWerk (F. Rotzer and P. 'Veibel, eds.), pp. 72­80. Munich: Boer, 1993.

A universalsimulator, combined with the autonomous direction optimizer, yields the blue­print for a full-fledged artificial brain.

[75] "A continuous axiom-A system" [abstract]. Biopbys. J. 33, 54a (1981).

Two time-doubling docks that mutually ,"eset each otber are proposed to jWlJ1 all e.\plicitexample ofa Smale axiom-A strange attractor.

[76] "Artificial aid to perception and imagery." In 147tb National Meeting oftbe American Association for tbe Advancement ofScience, Toronto, January3-8,1981 (A. Herschman, ed.), Abstracts, p. 152 (# 627). Toronto/Wash­ington, DC: AAAS Publications.

The universal simulator can be used as a vb'tual environment; and as a tIJink"'lg aid.

[77] with B. Uehleke2, "Tolerance attractors: attracting patterns in rever­beratory image processing. II In ACM Computer Science Conference, Febr.24-26, 1981 O. W. Hamblen, ed.), Abstracts, p. 34. St. Louis: Associa­tion for Computing Machinery Publications.

A multi-layer nonlinear-wavelet scheme is wedfor image processing, It can be tlSed bothin artificial and in natural brains. The systcm at the Sflmc time offirs an explanation forPlatonic ideation,

[78] "An artificial cognitive-plus-motivational system." Prop: Tbeor. Bioi. 6,147-160.

Thc blueprintfor a vertebrate-type artificial brain is indicated.

[79] uChaos and chemistry. II In Nonlinear Phenomena in Chemical Dynamics(c. Vidal and A. Pacault, eds.), pp. 79-87. New York: Springer-Verlag.

The micro level and the macro level of11ature arc fO(1Jsed on simultaneously. As a first

PUBLICATIONS /1981-83

example, a aystal-brain can have the same equations, in space, as an ordinary brain hasin spacetime. Secondly, evolutio/l call be considered as a ul/1croscopic process 1IJhich auto­matically screens a universal library (whereby a principle of the "privileged zero" ap­plies). Thirdly, the world ofa microscopically chaotic, classical observer is predicted to besubject to l<hnducible noise" (idea ofendophysics).

[80] with C. Mira', "Higher-order chaos in a constrained differential equa­tion with an e:":plicit cross-section." In Topologie, [Spezialtagung] Dynami­cal Systems (F. Takens and E. Vogt, eds.), pp. 9-10. Oberwolfach: Con­ference Report of the Mathematical Forschungs-Institut 40.

At1 e:'(pHdt, in the Hmit only 3-variable, singular-perturbation ordinary differential equa­tion that sho'llIs hyperchaos is indicated. An explidt 2~vnriable noninvertible diffirenceequation for the limiting cross-section is also indicated.

[81] with]. J. Kozak', "W'eak mixing in a quantum system." Z. Natlllforrcb.37 a, 33-38.

Chnos can ocmr in an unbounded linear medium ofquantum-mechanical origin.

[82] with M. Conrad', "Example of a system which is computation universalbut not effectively programmable." Bull. Matb. Bioi. 44, 443-447.

NOl1computability is shown to be implicit in chaos.

[83] "Chaos and tolerance." In Matbematical Colloquium, University ofTou­louse 1982 (R. Thibault, org.), Abstracts.

The Poincare-Zeeman theory of"talertmce" allaws for the design ofdiscrete systems that"to themselves" appear continuous. It is proposed to apply the same technique - basically,a version ofwavelet theory - to a discrete-resolution simulation ofthe logistic map in thecbaotic regime.

[84] "A two-step model of mammalian spatial memory" [abstract]. Biopbys. J.37,60a.The hippocampus in the mammalian brain is proposed to be the "switebing station" be­tween passive and active memoryj in mucb tbe same manner in wbicb all analogousswitchboard ;s needed in a cognitive-plus-motivational artificial brain.

[85] "Artificial cognition-plus-motivation and hippocampus." In NeuI'obiol­Olf>' of tbe Hippoca11lpllS cw. Seifert, ed.), pp. 573-588. New York: Aca­demic Press.

Conte~lt-addressatiol1 ofa momentarily valid scene tbat is to be down-loaded into perma-

35

O.E. ROSSLER

1lel1t storage (fl71 be acbieved by using the momentarily valid n-dime1lsionnl11lotivationalstate, in on artificial brain. Al1 analogous process is proposed to take place in the bippoc­ampus of tbe mammalian brain.

[86] c1l\1acroscopic behavior in a simple chaotic Hamiltonian system." InDYllamical Systems alld Chaos, Sitges 1982 (L. Garrido, ed.). Spt;llger Lec­tim Notes ill Physics 179, 67-77. Abstract also in Physica 8 D, 297-298(1983).

An explicit 4-vnriable Newtonian modelfor FeymJ/ans "ratchet-fwd-pawl" metapbor ofirreversibility is presemed and simulated.

[87J "The chaotic hierarchy." Z. Natmforsch. 38 a, 788-801. Reprinted in'[176J, pp. 25-47. Singapore: 'I'\Torid Scientific, 1991.

A systematics ofchaos and hypercbaos, witb explicit examples, is presented, with simula­tions. Included is a preview of tbings yet to come - like the "X-attractor" or nowbere­differentiable attroctors.

[88] with]. P. Crutchfield', "Combinatorial period-doublmg instabilities andhigher chaos." In NATO Workshop 011 Chemical Illstahilities, Austio, March14, 1983 (1. Prigogine, org.). Abstracts.

A11 attempt is made to predict the bifurcations wbich lead to hyperchaos in boiling-typeturbulence.

[89] with C. Kahlert!, IlFinite wavetrains in a one-dimensional medium." Z.NatIlrforsch. 38 a, 648-667.

A boundary-value-problem allalysisofon excitable medium is puformed.

[90] with]. L. Hudson', "Higher chaos in simple reaction systems." In C/"'mc

cal Applicatiolls ofTopomgy alld G1'aph Theoty (R. B. King, ed.), pp. 358­363. Amsterdam: Else\~er.

A propoSflI is made how to obtain hyperchaos in abstract reaction systems.

[91] \\~th B. Uehleke', "Complicated Pomcare halfmaps in a linear system."Z. Natmforsch. 38 a, 1107-1113.

The tedmique of "Poinmre bolfmops" is introduced into tbe analysis ofpiecewise-lineardynamical systems.

[92] "Deductive prebiology." In Moleellla,' Evolutioll alld Protobiology (K.Matsuno, K. Dose, K. Harada, and D. L. Rohlfing, eds.), pp. 375-385.New York: Plenum Press.

PUBLICATIONS / 1984

A predictive approach to the properties ofevolutionary reaction systems ispresented. Car­bon chains (-C-C-C-C-) and bortllle-chains (-B-N-B-N-) are jimctiollally equivalcJ1t,The latter may therefM'e form the basis oflife on Jupiter. The emergence of11ltltnbility illevolutionary soups is shown to be unavoidable.

[93] with R. Rossler', "Deductive approach to the hormonal control ofage­ing" [abstract]. Biopbys. J. 45, 178a.Stmting from A1edawar's approach to ageing, a lawful control ofageing involving aumo1phogenetic control variable" is proposed.

[94] with].]. Kozak' and D. Hoffinann', "Linear chaos" [abstract]. Pbysica11 D, 416.Chaos is shQwn to be possible in linear media with the aid ofnn example (Bunimovich­stadium sbaped 2D medium). The Poincari-Carleman flnmtla also proves tbe possibleexistence ofcbaos in infinite-dimensional dynamical systems.

[95] with]. L. Hudson' and]. D. Farmer" "Noodle-map chaos: a simpleexample." In Stochastic Phenomena find Chaotic Behaviol' in Complex Sys­tents (p. Schuster, ed.), pp. 30-37. New York: Springer-Verlag.A simple equation for a noodle map is proposed and simulated.

[96] with J. L. Hudson l and J. C. Mankin', "Chaos in continuous stirredchemical reactors. Jl In Stocbastic Phenomena and Chaotic Bebavior in Com­plex Systems (P. Schuster, ed.), pp. 98-105. New York: Springer-Verlag.Experimentllll'eszdts, both 011 the Zhabotinsk), ,"eaction and on two tempenrture-coupledreactor cells, are presented.

[97J with]. L. Hudson l , "Chaos in simple three- and four-variable chemicalsystems." In Modelling ofPattems in Space and Time (W: Jager and]. D.Murray, eds.). Springer-Verlag, Lecture Notes in Biomatbematics 55,135­145.A building-blocks principle fOr tbe design ofreaction systems sbowhtg diffirent types ofcbaos is desen'bed, staning witb "bmricane-type" cbaos.

[98J with B. Uehleke l , "Analytical results on a chaotic piecewise-lineara.D.E." Z. Natllrfot'SCb. 39 a, 342-348.An l'esti11lIltics"stud)'of2-dQ1llain piecewise-linearsmoot/; (el) 3-varinble synems s/)QWingchaotic bebnvior is presented,' if [60].

[99] with]. L. Hudson', "A piecewise-linear invertible noodle-map." Pbysica11 D, 239-242.An e:>"ample ofan analytically tractable noodle map is given.

[IOOJ with C. KaWert l , "Chaos as a limit in a boundary-value problem." Z.

37

O.E. ROSSLER

Nat1I1fomh. 39 a, 1200-1203. Reprinted in Chaotic Oscillators: TheoryalldApplicatio11S(T. Kapitaniak, ed.), pp. 484-487. Singapore: World Sci­entific, 1992.

An explicit example ofspt1tial chaos) in the form ofa travelling chaotic wave) is indicatedanalytically.

[101] with H. Killory' and]. L. Hudson', "Chaotic behavior of model chemi­cal reactions.)) Americflllinstitute o/Chemica/Engineers Meeting) San Fran­cisco, Nov., i\1icrofiche Publication.

An attempt is made to find chemical hyperchaos.

[102] with C. Kahlert' and B. VeWeke', "Chaos in simple autonomous C'systems." In Mathematical Models ill Biology (K. P. Hadeler and W: Jager,eds.), pp. 14-15. Oberwolfach: Conference Report of the MathematicalForschungs-Institut 50.

Different types ofcbaos in Simple piecewise-linear systems are presented and disCtlssed.

[103] "Example of an axiom-A ODE." In Chaos, hactals and Dpla111ics (p. Fi­scher and W. R. Smith, eds.), pp. 105-114. New York: Marcel Dekker.

Tbe "two mutually resetting time-doubling-clocks" model [75] of Smale's axiom-Aattmctor is presented in detail and analyzed by 1llt1nericalsimulation. A minor conjectureis left open.

[104] ((Design for a one-dimensional brain.'J In Info17natioll Processing in Bio­logical Systems, 20th Annual Orbis Scientiae, Miami, Jan. 17-21, 1983 (B.Kursunoglu, S. L. Mintz and A. Perlmutter, eds.), pp. 145-153. NewYork: Plenum Press.

The blueprint ofa simplified artificial cognitive-plus-motivational system that is purelytime-dependent ("musicaJ') is proposed.

[105] "Classical quantization: two possible approaches. JJ In Chaotic Phenomenain Quantum Systems: Theory and Applications, Como, June 20-25, 1983(G. Casati, ed.), pp. 345-353. New York: Plenum Press.

Maxwell's prediction of<li11lpalpability" ofall micro motions is linked to the impossibilityofdetet7JJining the direction oftime microscopically. A bisto,'icalstudy ofA1axwell's notesis suggested to find out hrnv he arrived at his astounding prediction.

[106J with C. KaWert' and B. VeWeke" "Tori and chaos in a simple C' sys­tem.". In r-lonlinear D)'namics ofnoanscritical Flows) DFVLR InternationalColloquium, Bonn, March 26, 1984 (I-l. L. Jordan, H. Oerrel and K.

PUBLICATIONS / 1985-86

Roberts, eds.). Springer-Verlag, Lecture Notes in Engineering 13, 51-57.

The simplest, botb chaos- aud tOnis-genemtillg, 3-variable ordinary differential equa­tion of1977 is investigated fll11ber, in a piecewise-linear version.

(107] HAn estimate of Planck's constant." In Dynamic Phenomena in /:.,Teuro­chemistly and Neurophysics: Theoretical Aspects (p. Erdi, ed.), Budapest,Aug. 21-23, 1984, pp. 16-18. Budapest: Publications of the Central Physi­cal Research Institute.

Gibbs' classical phase space volume implies a system-specific unit constant action. Thecosmos and the brain can be investigated to find out whether their cnvll classical action liesclose to Plallck's constant. It Nims out that the bmill comes out the clear win1le1; with adeviation oflesstbanfactor oftwo. However, ifthe neutrino mass is dose toa ten thousandthofan electron volt, the COS1I10S qualifies as well.

(108] "Long line attractors." In Iteration Theory and Its Functional Equations,Schioss Hofen Lochau, Sept. 28-0ct. 1st, 1984 (R. Liedl, L. Reich andG. Targonski, eds.). Springer-Verlag, Lecture Notes in Mathematics 1163,149-160.

Tbe transfinite mathematics ofthe hmg line o/topology is very usefulfor a deeper under­standing ofchaoticjl(Jl))S, A new 2-d axiom-A map is proposed.

[109J with]. Peinke', B. Rohricht',A MiiWbach',]. Parisi4, C. Noldeke' andR. P. Huebener", "Hyperchaos in the post-breakdown regime ofp-Ger­maruum." Z. Natu1forsch. 40 a, ,562-466.

Hyperchaos is demonstrated in a semiconductor e>.periment.

[110J with]. L. Hudson', "A piecewise-linear hierarchy." In Intemational Sym­posium on Mathematical Biology, Kyoto, Nov. 10-16, 1985 (E. Teramoto,ed.), pp. 18-20. Kyoto: Research Institute for Mathematical Sciences,Kyoto University Publications.

A chaotic hierarchy based On piecewise-linear examples is proposed em the basis of twoequations one ofwhich has yet to be improved upon,

[111] with C. Kahlert', "Analytical properties of Poincare halfmaps in a classofpiecewise-linear dynamical systems." Z. Natuifomh. 40 a, 1011-1025.

Further exact results on CJ systems are described geometrically.

[112] with]. L. Hudson', "Chaos and complex oscillations in stirred chemicalreactors." In Dynamics a[Nonlinear Systems (Y. Hlavacek, ed.), pp. 193­219. New York: Gordon and Breach.

A review o/chaos in chemistry andph)'si%gy is attempted, alongwitb sample sonagrams.

39

40 O.E. ROSSLER

[113] with B. Rohricht',]. Parisi' and J. Peinke" "A simple morphogeneticreaction-diffusion model describing nonlinear transport phenomena insemiconductors." Z. Phys. H, Condensed Matter 65, 259-266.

l1-amport in semiconductors is placed into the context oftbe original Titringpbenomenol1.

[114] "How chaotic is the universe?" In Chaos (A. V. Holden, ed.), pp. 315­320. Manchester: Manchester University Press.

A "floating-spheres" artificial universe is considered in intuitive terms. The presence of1m intenza/ unit-fiction-perturbation is made plausible.

[115] with J. L. Hudson' and H. Killory], "A four-variable chaotic chemicalreaction." Cbem. Eng. Com1null. 46, 159-166.

A bigher..dimensioll~/ nttmctorwbic!J is l1on-hyperchaotic is described in an abSh"oct reac­tion system.

[116J with C. Kahlert',]. Parisi"]. Peinke4 and B. RohrichtS, "Hyperchaosand Julia sets." Z. Natwforsch. 41 a, 819-822.

A hyperchaotic attractor which is invaded by two neighboring basins gives rise to aSierpinski-type fractal bOlmdmy.

[117J with]. L. Hudson' and]. A. Yorke], "Cloud attractors and time-invertedJulia boundaries." Z. Natwforsch. 41 a, 979-980.

A preliminary recipe to generate a generic nowhere-differentiable ottraetor is presemed.

[118] with C. Kahlert', "The separating mechanisms in Poincare halfrnaps."Z. Natwforsch. 41 a, 1369-1380.

New exact results em piecewise-linear ClS)'stems are presented.

[119] "Bi-fractal basin boundaries from higher-dimensional Smale basic sets."In Nonlinear Dynamics and Chaos in Classical find Quantum Systems, Aug.25-30, 1986 (T. Bountis, ed.), Abstracts, pp. 40-42. Thessaloniki: Uni­versity of Thessaloniki Publications.

The general relationship between hyperchaos and Sierpinski-type boundaries is a)11sid­ered.

[120J with R. Rossler' and K. YVegmann', "Proposed experimental approachto immortality in plants and animals" [abstract]. Hiophys.]. 49, 27la.

Aging in plants find animals is predictable. The existence of aging bonnams is likelyunder certain conditiom.

[121] with W. Musterle l , "Computer faces: the human Lorenz matrix." Hio­Systems 19,61-80.

PUBLICATIONS / 1986-87

A fadal expression is a point inn-space. Five natural-looking ''pure faces" are pl'ovidedtbat call be smoothly and naturally (ombimd. The basis is a simulated clastic fillitc­elemerIts sbeet which is under the simultoneous influence ofa large number ofsimulatedfadalmuscles. Smooth superposition is easily accomplished in a natul·al-Iookingjflshion.An adapti011 to natural individual faces put into the computer appears to be straightfor­ward.

[122] "Indistinguishability implies quantization." In Collected Papers Dedicatedto Professor Ktzzllbisa 70mita 011 the Occasion ofHis Retirement from KyotoUniversity (S. Takeno, T. Kawasaki and H. Tomita, eds.), pp. 280-288.Kyoto: Publication Office of Progress of Theoretical Physics.

Classical indistinguishability implies a lack ofselfclassifiability ofmicroscopically speci­fied observers. This[act may be sufficient to generate a quantization ofthe external worldas far as tbe observer can tell.

[123] "Chaos in coupled optimizers." In Perspectives in Biological Dynamics andTbeoretical Medicine, Vethesda, Apr. 9-11, 1986 (S. H. Koslow, A. J.Mandell and M. F. Shlesinger, eds.). Ann. Nlc Acad. Sci. 504,229-240.

Two coupled artificial brains of a simplified type are simulated. Interactional chaos isshown to be possible.

[124] "A chaotic ID gas: some implications." In Tbe Pbysics of Pbase Space,First International V\'igner Symposium, College Park, May 20-23, 1986(y. S. Kim and W. W. Zachary, eds.). Springer-Verlag, Lect1lre Notes inPbysics 278,9-11.

Particles confimd to om dimension can, surprisingly, imeract chaotically if tbe titbe isbranched. l\1.aximal hypercbaos results (n-1 positive Lyapunov characteristic e.tponents).If the paNicles are mathematically equall a "reduced Hamiltonian lt can be written downe>,:plicitly. Tbe latter's qualitative behavior ispredictably diffirent. An artificial universeobserved by internal O1tificiall1eurons will be possible on this basis.

[125] with M. Hoffmann', "Quasiperiodization in classical hyperchaos." ].Camp. Cbem. 8,510-515.

Classical indistinguishability implies that part;cles Cfln no longerpass by each other in Olle

dimension even Iftbey do (like soh'tom). Ifall horizontalparticlespreviously had an equalcbance to internet cbaotieally 'witb the pfl1ticle ill the mouth of tbe vertieal tube, now"almost all" have motions with virtually zero Lyapunov characteristic e....ponents sinceaccess to tbe chaos-spending mouth is statistically blocked by the intervening particles.Thus, It mere n-Iabeling ofthe same given motions in space can drastically change thequalitative behavior ofa system.

[126] "ExpliCit dissipative structures." In Invited PapmDedicated to llya P,igogine

O.E. ROSSLER

on Ibe Occasion ofHis 70lb Bi,-tbday (A. van der Menve and G. Nicolis,eds.). Found. Pbys. 17,679-688.

Recurrent dissipative structures can be generated Oll the basis of1111 e>''Plicit Hamiltonianmicro dynamics in one space dimension.

[127] with R. M. Chemburkarl and A. Varma', "Dynamics of consecutive re­actions in a CSTR: a case study." Chem. Engng. Sci. 42, 1507-1509.

Chaos occurs in a temperattu-e-dependem reaction seque11Ce ofrealistic type.

[128] with H. Killoryl and]. L. Hudson', "Higher chaos in a four-variablechemical reaction model." Phys. Lett. 122 A, 341-345.

An e.\'Im/ple ofhypercbaos in an abstract uaction system is presC1lted.

[129] with]. Peinke' ,]. Parisi' and B. Rohrichr', "Instabiliryof rheMandelbrotset." Z. NalU1forsch. 42 a, 263-266.

Devintions from analyticity subtly destroy man)', but not 01/, fractal features of tbe1I1andeibrot set.

[130] wirh C. Kahlenl, "Analogues to a Julia boundary away trom analytic­ity." Z. NatU1fo1"Sch. 42 a, 324-328.

The changes ofafractal boundary, away from tbe previous analyticity oftbe underlying2D map, are studied numerical/y.

[131] wirh B. Rohricht', ';Yo Metzler',]. Parisi' ,]. Peinke4 and ,v. Beau5, "Theclasses offractals. Jl In The Physics afStructure Formation: Theor)' and Simu­lalion0v. Guettinger and G. Dangelmayr, eds.), pp. 275-281. New York:Springer-Verlag.

An attempt to classify the known types offmctal is made.

[132] wirh C. Kahlert',]. Parisi',]. Peinke" B. Rohrieht5 and]. L. Hudson6,

llCloud attractors." In Fractals and Tbeir Significance in 1I1atbematics andthe Sciences (E. B. Mandelbrot, H. O. Peitgen and P. H. Richter, eds.),pp. 4-5. Obenvolfaeh: Conference Repon of rhe Marhematieal For­schungs-Institut 1/1987.

Generic 1l01uhere-diffirentiable attractors are sougbt.

[133] wirh]. Parisi l , B. RohrichI:' and]. Peinke" "Turbulent morphogenesisof a prototype model reaction-diffusion system." In Chaos in BiologicalSystems (H. Degn, A. V. Holden and L. F. Olsen, eds.), pp. 91-95. NewYork: Plenum Press.'HIring-type chemical turbulence is a qualitative modelfor a certain type a/semiconductordYllamics.

PUBLICATIONS / 1987

[134J with C. Kahlert' and]. L. Hudson" "Bi-fractal basin boundaries in in­vertible systems." In Chaos in Biological Systems (H. Degn, A. Ie Holdenand L. F Olsen, eds.), pp. 279-283. New York: Plenum Press.

Sierpil1ski-type boundaries are predicted to arise in generic irzvel1ible maps of 3 dimen­sions.

[135] "Chemical dissipative stmctures from Hamiltonian chaos." In Math­ematicalProbiemsofChemical Processes (R. Aris and P. C. Fife, eds.), pp. 15­16. Oberwolfach: Conference Report of the Mathematical Forschungs­Institut 29.

1emprmdly recurrent dissipative structures, like limit cycles, are obtainablefr0111 the Hamil­tonimJ offinitely many interacting classical partivles over finite times in one dimellsioll.

(136) HAnaxagoras' idea of the infinitely exact chaos." In Chaos in Education:Teaching Nonlinear Phenomena 11 (G. Marx, ed.), pp. 99-113. Veszprem,Hungary: National Center of Educational Technology Publications.

The idea ofa transfinitely exact dynamical chaos wasfirst conceived by pre-SocTatic phi­losopher-scientist Allaxagoras. A new tmnslatiollofhis, ''fragment No. 12" on the Mindis provided.

[137] with]. Parisi!,]. Peinke', B. Rohricht" U. Rau' and M. Klein', "Com­parison between a generic reaction-difffusion model and a synergeticsemiconductor system." Z. Natllrfo1"SCh. 42 a, 655-656.

Cellular chemical turbule11Ce and expen'melltnl semiconductor turbulence are related.

[138] "Deterministic entropy in a simple chaotic Hamiltonian system." In Non­linear Applied Dynamics, Euromech 229, OCt. 5-9 (W Schiehlen, org.),Abstracts p. 23. Stuttgart: University Institute for Mechanics Publica­tions.

It is proposed that the "momentary phase-space volume" can be wimated from the statepoint, evaluated at several conseeutive points in time. In this way, a macroscopic entropymay become numerically obseroable in microscopic Aioleeular Dynamics Simulations.

[139] "Endophysics." In Real Braills, Artificial Millds O. L. Casti and A. Kar­lqvist, eds.), pp. 26-46. New York: North-Holland.]apanese edition (M.Nakamura, trans!.), pp. 29-55. Tokyo: K)'oritsu Publishing Co., 1991.

The distinction between an objective inte1fnce reality and an exo-objectively valid descrip­tion ofthe same universe is introduced. The existence ofa new science is cOlljecmred.

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44 O.E. ROSSLER

[140J "Delayed choice with correlated photons." Z. Natllrfol'sch. 43 a, 110-114.

A bypothetical proposal is made to ''fool'' qUflllt1l1J171lecbnllics by 111el1115 ofcon-elatedpho­tons.

[141] with]. L. Hudson' and H.C. Killory" "Chaos in a four-variable piece­wise-linear system of differential equations. j) IEEE Transactio1ls on Cir­cuits and Systems 35, 902-908.

Piecewise-limar cbaos and "nlmost"-hyperchaos are demonstrated ill a 4-vnriable CIsystem.

[142] with]. L. Hudson', M. Klein' and R. Wais" "Self-similar basin bound­aty in an invertible system (folded-towel map)." In Dynamic Patterns inComplex Systems, Fort Lauderdale, Oct. 21-23, 1987 (J. A. S. Kelso, A.].Mandell and M. F. Shlesinger, eds.), pp. 209-218. Singapore: WorldScientific.

A Sierpinski-carpet like boundary is demomtrated ill a generic hyperchaos-gmeratinginvertible mop (n Stefanski-t)·pe folded-towel diffeomorphism),

[143J with]. Peinke',]. Parisi', B. Rohricht' and VI. Metzler" "Smooth de­composition of generalized Fatou set explains smooth structure in gen­eralized Mandelbrot set." Z. Nat1l1forsch. 43 a, 14-16.

Smooth feaNlres ofa llonanalytic analogue to the Mandelbrot set are analyzed.

[144] with]. Peinke',]. Parisi', B. Rohricht' and W. Metzler', "Nondiffer­entiable structure in the generalized Mandelbrot set." Z. Nat1l1forsch.43 a, 287-288.

A surviving l1QWbere-differentiable strudUre ill ageneralized Maude/brot set is described.

[145] with M. Klein', "Nondifferentiable basin boundaries in differentiablesystems: methods of detection." In Application of Chaos Concepts to Me­chanical Systems, Euromech 242, Sept. 26-29, 1988 (p. C. Muller, W.Szemplinska-Stupnicka and H. Trager, orgs.). Abstracts, p. 33. \~Tup­

pertal: Institute for Measurement Technology.

A llQWhere-differentiable basin bOlmd{uy is demollstrated in a generic invertible 2-di­memiomrlmap. (An independent replication ofearlier work by Takagi & Okninski].

[146] aInto the same rivers we step and step not) we are the same and we arenot: on the origin of the Now." In Chaos and Pedagogics, Klel, Oct. 1988(J. R. Bloch, org.), Abstracts. Kiel: Institute fur Piidagogik der Natur­wissenschaften.

PUBLICATIONS / 1988-89

Heraclitus's saying is brought in con1lCction with Everett's theo1)'. The Now is "co-dimen­siol1 rUJo, " with timc forming 0111)' one paramelfl: Tbe otber is Everett's parameter forworld selection, A 1Ie'W theory ofstate reduction is implicit.

[147J "The taffy puller." In Tb,'ow Your Old Equations on tbe Garage Heap: Cbaosand Order in Nature [\~Terft Eure alten Gleichungen auf den Schrott­Chaos und Ordnung in der Natur] (Regine Naeckel, ed.), TV-MovieNDR.The taffy puller - a chaos-generating machine il1 3-space - is presented,

[148] "Symmetry-induced disappearance ofreality: the Leibniz effecr." InArtand tbe New Biology: BiologicalF017J1s and PattenlS (p. Erdi and L. Bornstein,eds.). Leonardo 22,55-59. German version in Strotegien des Scheins: Kimst,Computer, Medien (F. Rotzer and P. Weibel, eds.), pp. 277-289. Munich:Boer, 1991.

The Spinoza-Leibniz discovery tha.t allniverse that exists twice collapses down to asinglecopy is applied to ualistic syste-ms that contain indistinguishable particles. The phase spacecollapses down to a sillgle cel/ ofIIN!-tb the original volume and~vell-defimd boundaries.Specifically, a "second ll11it action" (ofclassical origin) is predicted to make itselffelt inwtain quantum experiments. Hence lIC'W quantum-Hall-like phenomena may be wOlthsearchingfor.

[149] with]. L. Hudson' and M. Klein" "Chaotic forcing generates wrinkledboundary." J. Pbys. Cbem. 93,2858-2860.

An example ofa nowhere-differentiable boundary in a continuous system is presented.

[150] with M. Michelitsch1, "Anew feature ofHenon's map." Con1pUt. & Grapb­ics 13, 263-265.

A computer-graphics study ofbasin boundaries in Henon's map shows a ""edspot" and a"Reeb foliation."

[151] with]. L. Hudson', "Self-similarity in hyperchaotic data." In Brain Dy­namics: P"ogress and Perspectives (E. Basar and T. H. Bullock, eds.), pp.113-121. New York: Springer-Verlag. Also in Cbaos in Brail1 FUI1CtiOI1(E. Basar, ed.), pp. 74-82. New York: Springer-Verlag, 1990.

Ifbrain Waves are byperchaotic, this fact will be expen'memally demonstrable. A sym­boJjc-dynamics-based graphical analysis is demonstrated, for the case oflloisefree data.

[152] with J. L. Hudson' and M. Klein" "Graphical symbolic dynamics: orhow to distinguish a noisy chaotic signal from noise.!l In European Con­ference 011 Iteration Theory, Batschuns (Ansll'ia), Sept. 10-16, 1989 (G.

45

O.E. ROSSLER

Targonski, C. Mira, R. Lied!, L. Reich, M. i\1isiurewicz, orgs.), Abstracts,p. 32. Marburg: Institute of Mathematics Publications.

A time-series analysis meth.od based on symbolic dynamics is deso'ibed for noisy data.

[153] "Explicit obsenrers." In Optimal Structures ill Heterogeneous Reaction Sys­tems (p.]. Plath, ed.), pp. 123-138. New York: Springer-Verlag.

Jl,iaC1'oscopic observers enn be simulatedfrom first microscopic classiCflIprinciples accordingto Boltzmann. 7Oday, flIt/ficial class/enl universes can be implemented in a computer. Tounderstand tbeir behavior, the "micro-interface" that forms between observer al1d restneeds to be understood. It is shown to present a reality which deviatesfiwJt what holds trueexo-objectively. An analogue to Bell non/ocality can be expected to arise on the iTiteiface.

[154] withB. R6hricht',]. Parisi' and]. Peinke" "Syrnmetry-breakingphasetransitions and boiling-type turbulence of a simple morphogenetic re­action-diffusion system." In Stntcttlre, Coberence·and Cbaos in DynamicalSystems (P. L. Christiansen and R. D. Parmentier, eds.), pp. 597-602.n1anchester: Manchester University Press.

rtVo different types of turbulence are sbOWll to arise in a cellular syrrem.

[155] with]. Becker', M. Hoffmann' and W. Nadler" "Fermi gas like hypoth­esis for Fleischmann-Pons experiment" Z. Natmfonch. 44 a, 329.

Can classical indistinguishability generate tunneJingjeatures ofa type compatible witbthe alleged cold-fusion experiment?

[156] "Einstein completion of quantum mechanics made falsifiable." In Com­plexity, Entropy and the Physics ofInformation (V\Z H. Zurek, ed.), pp. 367­373. Redwood City: Addison-Wesley.

The "u lativistic Bell experiment" is proposed, hl a paper discussed with the late JohnBell. It is shown that the fimtous Einstein-Podolsky-Rosen (EPR) paradox of 1935 hasonly been solved partially by Bell'sfamous discovery ofnonlocalit)'. 10 solve it fu"y, intro­duction ofcausal separation (rather tban7Jlere spacclike separation) £s necessary. 10 achievetbis, the two meaSlwing statiollS ofa standard Bell experimC11t need to be placed imo twodiffirent relativistic frames. The two 7Jlust be 1JJtJtually receding (uVX" diagram). As aconsequence, each measurement occurs fint in its own frame. The e.tperiment appearsfeasible using a satellite. Tbe e.tpected outcome also is not controversial: confit7Jlation oftbe Bell cOITelations. However, in that case quantum mecbanics can be "completed" inaccordance witb Einstein's claim. Tbat is, two nonc011lmuting virgin states can be mea­sured independently- in violati(jn ofwbattbe commutator "eJatiom pennit. Hence quan­tu11lmechanics is[onllally refuted. Unexpectedly, Everett's version sllrvives. It simulta­neously becomes an alternative fullfledged tbeory. The reason: in each oftlie two Everettwo'-/ds, validfor tbe two frame-specific obseroers, the commutator relations are respected.

PUBLICATIONS / 1990

[157] with P. Frodl', M. Hoffmann' and F. "I'VaW" "Possible participation oflithium in Fleischmann-Pons reaction is testable. Jl Z. Natmforscb. 453,757-758.

A way to falsify tbe Fleiscbmann-Pons hypothesis is indicated.

[158J with]. L. Hudson', M. Klein' and C. Mira" "Self-similar basin bound­ary in a continuous system." In Nonlinear Dynamics in Engineering S)'s­tenlS (VV Schiehlen, ed.), pp. 265-273. New York: Springer-Verlag.

A Sierpinski-type boundary is demonstrated in ageneric4-varinble ordinary differentialequation.

[159] with M. Klein' and G. Baier', "The Rashevsky-Turing system: twocoupled oscillators as a generic reaction-diffusion mode1." In SoftwareDevelopment in Cbemimy 4 O. Gasteiger, ed.), pp. 331-343. New York:Springer-Verlag.

The turbulence arising in the Rnshevsky-'Rlring model [31] is studied further.

[160] with G. Baier1 and M. Klein2J "Higher tori in volume-preserving maps."

Z. Nat1l1fomb. 45 a, 664-668.

Hypertoroidal quasipen'odic behavior is fou"nd in simple volume-preserving maps.

[161J with B. Rohricht',J. Parisi' and]. Peinke', "Breakdown ofsymmetry inan exemplary Turing system." Dynamics &' Stability ofSystems 5, 99-104.

A bifurcation in 2 coupled cells is analyzed.

[162J with G. Kampis', "Complexity reduction in two coupled optimizers('antichaos')." In Operations Reasearcb 1990, International Conferenceon Operations Research, Vienna, Aug. 28-31, 1990 (G. Feichtinger, ed.).Abstracts, p. A260. Vienna: Technical University Institute for Econo­metrics, Operations Research and System Theory Publications.

Two coupled autonomous optimizers-eum-ll1liversal-simulators are capable of inventingand understanding benevolence and tranquility.

[163J "Acounterfacmal telegraph" [in German]. InKmllplexitiit-Zeit-Metbode,IV: 4th International Interdisciplinary Colloquium "Co1JtplexityJ Time,Metbod, " Martin-Luther-University Halle-Wittenberg, Dec. 20, 1988(U. Niedersen, ed.), pp. 189-198. Halle: Martin-Luther-UniversitatWissenschaftliche Beitrage 1990120 (A 124).

Like a balved Thousand-Dollars note, by whirb nothing can be bougbt unless the otherbalf is presented side by side, so "half messagesl) can be sent in a Bell-type experiment.They can be verified (as having arrived in time) afterwards - but only after the other"halfprotocol" has been sent as well, by sublll1nina/mail.

47

48 O.E. ROSSLER

[164J with G. Kampis', VI. Nadler" \~Z Musterle" B. Shapiro' and P. Urban',uI-ligWy parallel implementation of an autonomous direction optimizerwith cognition" [abstractJ. Biophys. J. 57, 194a.The blueprint ofa wavelet-implemented artificial brain is proposed to be jmplememablein a chip. A second proposnl made is the creation of the uPalldaka-pyr;maea Brain Re­search Imtiwte, "The smalls! vertebrate bmi1l1viJi be evm1l1ore interesting to elucidatethan that of the house jly, to whith U7enler Reichbardt devoted his whole life.

[165J with G. Kampis', "How many 'demons' do we need: endophysical self­creation of material snuctures and the exophysical mastery of universallibraries." In Cybernetics and Systems 90 (R. Trappl, ed.), pp. 27-34.Singapore: \Vorld Scientific.The universal-library out-reading process ofevolution is juxtaposed to the mally-woddsproblem ofendophysics. Is there a short-cut implicit hi the latter to speed up the fanner?

[166J with M. Klein', G. Baier',]. Parisi"]. Peinke5, M. Krng' and]. L. Hud­son?, "Sierpinski sponge in a simple generic diffeomorphism." Comput­ers ill Physics 4, 494-497.A selfsimilar Sierpinski-sponge-likefractal boundary is demonstrated in tbe Baier map,3D version. Higher-order analogues can be obtained analogously. In eacb case a Singlequadratic nonlinearity suffices.

[167J with H. B. Stewart' and K. Vi'iesenfeld" "Unfolding a chaotic bifurca­tion." Proc. Roy. Soc. LOlldoll, Sect. A 431; 372-383 (1990).A Newhouse-like fusion ofbasic sets is studied using global analysis.

[168J with]. Peinke',J. Parisi' and M. Klein', "2-D Feigenbaum." In Comput­ers, PattenlS, Chaos alld Beauty (c. A. Pickover, ed.). New York: St. Martin'sPress;

Sonze ofthe bijumtions leading to bypercbnos ore studied.

[169J withA. KitteI'']. Peinke', M. Klein'. G. Baier' and]. Parisi" "Existenceof nowhere differentiable boundaries in a realistic map." Z. Nat1l1forsch.45 a, 1377-1379.Successful demonstHltion ofU-'eierstrllss nowhere-differentiability in the 7«kagi-Oknillskimap (as it is today called).

[170J with P. E. Kloeden' and R. Rossler', "A predictive model for life expect­ancy curves." BioSystems 24, 119-125.An improved Gompertz equation is derived from first principles. It successfully repro­duces the "e1ldogeneous deaths" in two different buman populations (life expectancy curves).

[171J with P. E. Kloeden' and R. Rossler', "Does a centralized clock for agingexist?" Gerolltology 36,314-322.

PUBLICATIONS / 1990-91

Tbe hypothesis ofthe pineal gland being the site offin aging-controlling physico-chemicalclock is introduced.

[172J "Boscovich's observer-centered explanation of the nonclassical natureof reality." In Symposium 011 the Foundations ofl\10dern Physics, Joensuu,Aug. 13-17, 1990 (K V. Laurikainen, org.), E"tended Abstracts, pp. 153­156. Turku: Report Series, Publications of the Department of PhysicalSciences, University ofTurku.

Endophys;cs in the modem sense ~vas invented by 1Jlflthematician-cum-theologian RogerJoseph Boscov;ch inl?55,

'99 '

[173] ICBoscovich covariance." In Beyond Belief: Randomness, Prediction and R-.;­planation in Saence O. Casti and A. Karlqvist, eds.), pp. 65-87. Boca Raton:CRC Press.

A new tramlation o!Boscovich's seminall?55 Latin paper titled flOll space and time liS

they are recognized by us" (De spatio et tempo1"e tit pnobis cognoscu1ltUJ) is presented. Itis accompanied by fi modem pccoum ofbis ideas.

[174] "A possible explanation ofquantum mechanics." InAdvallces in Injii17Jta­tion Systems Research (G. E. Lasker, T. Koizumi and]. Pohl, eds.), pp.581-589. ''Vindsor: The International Institute for Advanced Studies inSystems Research and Cybernetics.

Karl Popper's imight that lack ofselfknowledge implies aUmit to extenwl observation ina classical co1ltext is diswssed.

[175] "Four open problems in four dimensions." In [176], pp. 365-369. Sin­gapore: Vlorld Scientific.

The two main questions presented are: Do llowhere-differentiable attractors exist in ge­neric in 4D flfJws? And: Is there a unique cell boundary present in the 4-D configurationspace of two idmticol particles in the plane?

[176] A Cbaotic Hiemrcby (G. Baier and M. Klein, eds.). Singapore: WorldScientific, x-397pp.

Festschrift on the Occasion ofthe 50th Bi11bday ofO.E.R.

[177] "The existence flip-flop: theory and implications." World Futures 30,179-185.

Selfmabltaining continuous dynamical systems of tbe type discovered by Danvin areshown to be ubiquito~ls, botb in inanimate find animate lIatu,'e flnd hI society.

49

50 a . E. R ass L E R

[178] "Classical \~7jgner time reversal." In 2nd 11ltenzational I,Vigner Sympo­siu111, Goslar,]uly 15-20, 1991 (H. D. Doebner and W: Scheser, orgs.),Abstracts book. Claus thai: Arnold Sommerfeld Institut fUr Mathema­tische Physik Publications.

JFig1ler~ {mti-unitmy OpCHlt01"S, introduced in 1931 in response to H.A. KTamer's 1930quantum 111cnSUrCme1lts, possess Il classical analogue.

[179] with M. Klein',]. Parisi',]. Peinke', G. Baier" C. KaWert' and]. L.Hudson6, "Toward a better understanding of fractality in narure,ll Com­puters & Graphics 15, 583-596.

Frnctnlity in nature appears in a new light in view ofthe intrinsicjractality discovered indifferentiable dynamical systems of4 find more flow dimensions.

[180J ,,~th]. Parisi',]. PeirIke', M. Klein' and C. Kahlert', "Fractal bound­aries, analyticity and generating mechanism." In Fractals in tbe Funda­111ental and Applied Sciences (H. O. Peitgen,]. M. Henriques and L. F.Penedo, eds.), pp. 329-337. Amsterdam: Else\~er-North-Holland.

Analyt(city stands out ill its enabling a self-simUarity (and lloi just self-affineness) ojbasin boundaries.

[181J with]. Peinke', M. KleirI', A. KIttel"]. Parisi4 and R. Stoop" "Fractalboundaries in differentiable systems." In Dynamics Days, Berlin, June12-15.

Are tbe frnctnlity ofbollndaries and tbe fractality of turbulence related?

[182] with M. Klein l and G. Baier2, 'tFrom n-tori to hyperchaos." Cbaos, Soli­tOllS & Fractals 1, 105-118.

A comzeetio11 between higher-dimensional toroidal ath"flCtors and hypercbaotic attrnctorsis described, in maps.

[183J with]. Peinke', M. Klein', A. Kittel" G. Baier4,]. Parisi', R. Stoop' and]. L. Hudson', "Nowhere-differentiable boundaries in differentiable sys­tems: a proposed explanation." Ellrophys. Lett. 14, 15-20.

Construction of a convergent limiting process to explain generic selfaffine Faton-typeboundaries.

[184J with]. Peinke', M. Klein', A. KitteI', C. KaWert4, R. Stoop' and]. Parisi',"How two competing characteristic e:x"ponents generate different classesof fractal boundaries." Illt. J. Bifurcation & Chaos 1, 599-604 .

A Kaplan-YOrke /ike critenfm lOr boundan'es is presellted.

[185J "On Bodyism" (Report 8-80 hhta 372). T¥arld Futures 32,63-68.

PUBLICATIONS / 1991-92

A reflection on the milld-body problem is put into the finn ofa fictional story, 'writte1llIlJder the pSCllson)'m E. O. Rustl,,:

[186J "Endophysics: physics from within." In 6tb International Conference onEvent Perception and Action (P. Kugler, org.). Amsterdam, Aug. 25-30,1991, Abstracts.

Can physics and reality be manipulated in a new way? Bohr's privilege, Heisenberg'sprivilege, Wheeler's privilege, Bell's privilege and Everett's privilege are described.

[187] with R. Rossler! and P. E. Kloeden', "An optimality approach to age­ing." In Comple.,ity, Cbaos and Biological Evolution (E. Mosekilde and L.Mosekilde, eds.), pp. 259-266. New York: Plenum Press.

A quantitative prediction ofsurvivability, as afunction ofthe expected 1lumber ofmatureoffspring ofthe same gmder, is dem·ibed.

[188] "Chaos in physiology." In Biopbysical Society Worksbop, Cbaos Dynamics inBiopbysics: Tbeory and Applications. San Francisco, Febr. 27, 1991 (L. S.Kwok, org.). Houston: College of Optometry.

Are the rapid fine motions ofthe eye-ball chaotic?

[189] with P. i"leibel', "The two levels ofreality- Exo and endo." InA'Tlab 1"S)7/zposiu",: Tbe Current Condition and tbe Fnture of Digital A'T, Tokyo,June 29, 1991 (Y. Shikata, ed.), p. 16. Tokyo: Cannon Corporation.

Both in,art and in science is the imen1al observer a ceJumlnotion. Chaos and Kon-1On ­seeing clearly from 'lvitbin - belong together. The 1JUmy-oscilJators-rm-a-board model ofaninmr-world obseroer is introduced.

[190] "Singular-perturbation homoclinic hyperchaos." In Engineering Appli­cations ofDynamics ofCbaos (VI. Szemplinska-Stupnicka and H. Trager,eds.), pp. 139-147. Vienna: Springer-Verlag.

A singttlar-pert1l1·bation type geometric example ofShilnikov hyperchaos is presented.

1992

[191] . "The future of chaos." In Applied Cbaos a. H. Kim and]. Stringer, eds.),pp. 457-465. New York: Wiley.

A generalization ofShilnikov's theorem is proposed. Bohm's implicate order is general­ized. The StructU1"t offuture sciellCe-C1Jt7ieuI1l1l1S is gtteSsed nt.

[192] withM.lI1ichclitsch', "The 'burning ship' and its quasi-Julia sets." Com­pute,. & Graphics 16, 435-438.

Afractal structure ill a simple map is presented.

5'

52

[193]

[194]

[195]

o .E. ROSSLER

with Iv1. i\1ichelitsch1, c'Spiral strucrures inJulia sets and related sets." InSpiral SY11J11Jwy (1. Hargittai and C.A. Pickover, eds.), pp. 129-134.Singapore: 'World Scientific.

Some beautiful selfaffine dynamical patten1S are presented.

"Bell's symmetry." Sy11l11lel1y: CultJire and Science 3 (4), 385-400.

An observation afA. Peres and S. Feingold enables the description of f1 new covariance,presC1lt in the Bell correlatiom. It suggests that Bell non/ocality is an observer-centeredphenomenon. Specifically, details on the e.'I:perime1lt of the two spaceship captaillS ~lJho

each make the first mtaJ1lrement on fl pair ofcorrelated particles (156]. While Bohr'stbeory ofquantum mechanics if nfuted, Everett's theaty survives umcathed.

with]. Peinke', M. Klein',]. Parisi' and A. Kittel" "On the fractality ofbasin boundaries." Acta Pbysica Polo"ica 23 B, 409-429.

NflWhere-diJferemiability a/basin boundaries in generic maps is ,-eviewed.

[196] '(Interactional bifurcations in human interaction: a formal approach."In Self-Organization and Clinical Psycbology (W: Tschacher, G. Schiepekand E.]. Brunner, eds.), pp. 229-236. Berlin: Springer-Verlag.

Interactional anthropogenesis is revisited.

[197] Endopbysics: Tbe World of tbe lntemal Obse11Jer [Endopbysik: Die Welt desinneren Beobacbters], ed. by P. 'Neibel. Berlin: Merve Verlag, xii-183pp.

A collection ofpapers and abstmets on endophysics has been an-anged into asingle wbole,bya fl11irt-sdentist Peter Weibel. [For the english version, see 298]

[198] "Endophysics: physics from within." In Tbe World from Witbin: Endo .and Nano - aI's electronica 92 (K. Gerbel and P. \Veibel, eds.), pp. 49-55.Linz: PVS-Verleger.A bird's eye view on endoph)'Sics is presented at the first imernational conference onendophysics.

[199] "Chaos and endophysics" [abstract]. In Tbe l-Vorldfrom Witbi,,: Endo andNano - an elect/unica 92 (K. Gerbel and P. 'Weibel, eds.), p. 56. Linz:PVS-Verleger.

The connectiolls between the mtionalism ofchaos the01Y and the 1"fltiol1alis1n ofcndophysicsare poimed out.

[200] with P. Weibel', "Onr rainbow world." In Tbe World ji'01n Witbin: Endoand Nano - ars elem'onica 92 (K. Gerbel and P. Weibel, eds.), pp. 13-21.Linz: PVS-Verleger.

Is the physical worldjust as observer-specific as a co-movitlg minbow is?

PUBLICATIONS / 1992

[201] "The shadow principle: is physical reality full of correlations with theobsenrer?ll In International S)'mposium 0111nftrmation Pbysics (1. Tsuda, B.A. Huberman, O.E.R. and 1. Percival, eds.), pp. 134-141.1izuka, Fukuoka:Fujiki Pub!. Co.

Thefairy tale ofthe man withoItt shadow is used to illustrate, and to generalize, l\llaxwelJ'sdemon,

[202] International S)?l1posium on Inf01111ation Pbysics (I. Tsuda, B. A. Huberman,O.E.R. and I. Percival, eds.),July 12-15, 1992, Kyushu Institute ofTech­nology, lizuka, Fukuoka, Japan. lizuka: Fujiki Pub!. Co., x-142pp.

A new imerdiscipJinm)' field is presented in this book.

[203] Enconnte,."itb Cbaos: Self-Organized Hierarchical Complexity in S""icon­ductor Experiments, by J. Peinke, J. Parisi, O.E.R. and R. Stoop. NewYork: Springer-Verlag, vi-289pp.

Chaos in realistic dissipative systems is desen'bed in detniJwith a view to tbe e:(perimentalreality,

[204] "The transparent medinm." In 0" Justifying tbe Hypotbetical Nature ofArt and tbe Nonidelltity witbin tbe Objective World (p. ''leibel, T. Grunertand M. Janssen, eds.), pp. 121-126. Cologne: Verlag der BuchhandlungWalther Konig.

How can one make a medium tangible?

[205] with]. Parisi',]. Peinke' and A. Kittel" "A generic mechanism determin­ing the fractality of basin boundary structures." Pbysica A 191, 571-575,

St1'ategies toward tbe identification ofafractal basin boundary in a realistic experimentarc presented.

[206] with R. VVais' and R. Rossler" "Singular-continuous ''1eierstrass-func­cion atttactors, n In Proceedings a/the 2nd Intenzational Conference on FuzzyLogic and Neural Networks, pp. 909-912 (Iizuka,Japan,]uly 17-22, 1992).

A generalizatj(Jn ofKntsllllra's nowhere-differentiable fimctifJ1l is indicated. It exists inreality: as a cross section through generic attraetors,

[207] "Hyper Shil'nikov chaos." In Australian Matlmnotical Society Annual Con­ference, University of ,Vestern AUst1'alia, Perth, July 6-10, 1992 (WS.Perriman and].H. Rubinstein, orgs.). Abstracts, p. 21. Perth: AMS Pub­lication Swift Copy Service.

A Sb~lllikov hierarchy tbl'ougb arbitrary dimensio1lS is presented.

[208] "The world of the internal observer" [1989]. In Beyond the Boundaries of

53

54 O.E. ROSSLER

the Real: Ars electronica 1992 [Dber die Grenzen des Realen] (P. l\leibel,ed.). TV-Movie, 3 Sat,]uly 4.

A sn'ollwitb Peter H7eibel through tbe cwridors a/his oldbigb school, discussing Descartesand tbe mdo prison, while tbe music af"No one gets out afbere alive" is playing.

[209] with 1"1. Giers l , P. Weibel', F. Rotzer', 1. Burgbacher-Krupka" W Latham',]. Shaw?, "New media: what something is versus how it appears" (Neuel'.1edien: vVas etwas ist - wie etwas erscheint]. Kunstfon17n Intenzational122,334-345.

Sinde/fingen dialogue (hep/a/ague) 071 fl new view on the world and art. Descartes'me­din-theoretic experience ofthe reality ofthe prison (with the joystick oftime blocked) stillimpires the heart find the mind and the boud (ill Ronne Dllrboven's art).

'993

[210] with R. Rossler l and P. £. Kloeden', "A systems approach to aging." InAdvances in Systems Studies (G.£. Lasker, ed.), pp. 176-182. Windsor:International Institute for Advanced Studies in System Research andCybernetics.

Steps on the way toward 0 new aging formula, more accurate than Gompe1tz's law of1825, are presented.

[211] "Is our world a virtual reality?" [in German]. In Cyberspace - 2um medialenGesamtkunstwerk (F. Rotzer and P. l\leibel, eds.), pp. 256-260. Munich:Boer.

The new artificial inteifoce of Virtual Reality has so many prope'ties in common 'withend.ophysics tbat om storts wondedng whetber tbere is a deeper connection.

[212J with F. Rotzer', "Endophysics - Anew Copernican revolution?" [in Ger­man]. KunstfOnmtlutmlatioual124, 212-220. Also inF1'Om Chaos to Eudo­physics - Scientists ill Dialogue [170m Chaos zur Elldophysik - Wissenschaftlerim Gespriich] (F. Roetzer, ed.), pp. 349-368. Munich: Boer, 1994.

Tbis is 11 recorded dialogue which developed differently tbllll planned. Old childhoodmemo­ries ofafisb bowl made it possible to visualize wby afisb is blind to the water.

[213] with J. O. Rossler', "The endo approach." Applied Mathematics & Com­putatioll 56, 281-287.

The fundamental mtion of "assignment conditions" is added to Newtonj initial condi­tions.

[214] with J. 1.. Hudson' and R. Rossler', "Homoclinic hyperchaos: an ex­plicit example." Physica D 62, 80-86.

PUBLICATIONS / 1993

An equation for topological byper-Sbilnikov-chaos in m>bitrary dimensiom is presentedaud illustrated witb a simulation.

[215J "A new principle for identity generation - three equal particles on thering: a caleidoscope of classical exchange symmetry."In Austria Biennaledi Venezia 1993 - Representatives (p. vVeibel, ed.), pp. 257-272. Cologne:Verlag del' Buchhandlung l'Valther Koenig.

Second intemational conference on endopbysics. An astoundil1g complexity is generated bytbree classical particles subject to peifat equality.

[216J with R. Rossler', "Is the mind-body interface microscopic?" TheoreticalMedicine 14, 153-165.

The new experimental serence of'~1Uicro-ps)'cbopbysi(S» is proposed. Its task is to find outwbetber -there exists a microscopically specified "inteiface" il1 tbe real world, imide thehead, as an anchor for conserotlmers.

[217] with M. C. Kube! and]. L. Hudson" "A 'superfat' chaotic attractor."Chaos, Solitons & Fmctals 3, 141-148.

The strtld1n-e ofan attractorwitb one positive LyapIUlov characteristic e:>..ponem and twomar-zero negative ones is studied in a map and e>.plaimd in global ana6rsis.

[218J with]. L. Hudson', "A 'superfat' attractorwith a singular-continuous 2­D Weierstrass function in a cross section." Z. Natwforscb. 48 a, 673­678.

A second kind ofsupe1fatmss ofattmctors, with "double fractality, " is demonstrated in anexample and explained.

[219J "Singular-continuous nowhere-differentiability in attractors." In Dynami­cal Systems: Theory and Applications, Hudinge-Stockholm, June 15-22,1992 (S. 1. Andersson, A. E. Andersson and U. Ottoson, eds.), pp. 205­232. Singapore: World Scientific.

A classification of yat II and "supeifat" attractors (and so forth) is attempted.

[220] with J. Parisi!, R. Badii', E. BrunJ, L. Flepp4, C. Reyl', R. Stoop', A.Kittel' and R. Richter', "Explicit realization ofchaos control in anNlI1R­laser experiment." Z. Naturfomb. 48 a, 627-628.

A physical e>.perimwt in cbaos control is described and explained.

[221] with]. Peinke', 111. Klein', A. Kittel', A. Olminski4 and]. Parisi', "Onchaos, fractals and turbulence." Pbysica Scripta T 49,672-676.

Nowhere-differentiability in 11laps and turbi,lent jlfJllJS are twtatively subjected to a C01J1­1J1on interpretation.

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56 0 . E. R 0 S S L E R

[222] with P. E. Kloeden' and R. Rossler', "Time-keeping in genetically pro­grammed aging." Experimental Gerontology 28,109-118.

A (ell culture experiment to identifl tbe life-prolonging effects of melatonill in fl (ellculture is outlined.

[223] with P. E. Kloeden' and R. Rossler', "Artificial life extension: an epige­netic approach." Aging Clinical & Experimental Researcb 5, 409-410.

A large-scale experiment to inCHase tbe life span a/many human beings simultaneously isproposed.

r994

[224J "Fraiberg-Le'meberg speech." Cbaos, Solitons & P,'actals 4, 125-131.

Autistic and 1101lflutirtic language need to be distinguisIJed, botb in infants (where eitheris possible) and in animals where so far only one (the first) has been identified,

[225] Jonas' World -A Cblld Thinks, ed. by R. Rossler and O.E.R. [Jonas' Welt:Das Denken elnes KindesJ. ReinbeklHamburg: Rowohlt, 96pp.;2nd ednas Tbe Tblnklng ofa Child: Developme11t, Personality, Feelings [Dos DenkenelnesKindes: Entwlckhmg, Perso,illcbkeit, Geftible). Reinbek: Rowohlt, 1998.

The utterallces offin enlightened mind are presented in {hrono/agienl order, over a time­span ofsix years.

[226J "Chaos and endophysics" [in GermanJ. In Quanten, Cbaos lind Diimonen(K Mainzer and W Schirmacher, eds.), pp. 220-235. Mannheim: B. I.\'Vissenschafts-Verlag.

The relation between the two types ofchance ftund in nature, the one inside tbe worldandthe other outside ofthe world, is re-examined. The quantum butte1fly effect ("Schrb"dinger'sbutteifly'J differs mdically from tbe classical Lorenzian butterfly effect.

[227J with]. Parisi', "The brain as a measuring apparatus." In Endopbyslcs: TbeTVodd From Witbin - A New Approach to tbe Obmwr Problem witb Appli­entlons In Pbysics, Biology andMatbematics (G. Kampis and P. \Veibel, eds.),pp. 235-238. Santa Cruz: Aerial Press.

Is it possible to me tbe brain as a kind ojflight simulator, by 1"eversibly changing itsmicroscopic state in afirst micro-ps)'chopbysicnl experiment?

[228] with P. WeibeFJ (CPrivileged frames: from endo covariance to exo invari­ance." In Elldopbysics: The TVorid }i'om Witbin - A New Approach to tbeObserver Problen, wltb Applications In PhYSiCS, BiOlogy and Matbe"'atlcs (G.Kampis and P. Weibel, eds.), pp. 7-19. Santa Cruz: Aerial Press.

A new look at relativity, inspired by its microscopic analogue in tbe quantum domain, ispresented.

PUBLICATIONS / 1994

[229] "Endophysics: Descartes taken seriously." In Inside versus Outside: Endo­and Era-Concepts of Observation find Knowledge in Pb)'Sics, Pbilosopb), andCognitive Science, Schloss Ringberg, March 29-April2, 1993 (H. Atmans­pacher and G. J. Dalenoort, eds.), pp. 153-161. Berlin: Springer-Verlag.

Tbe UUTestem Buddbist" Rene Descartes is responsible for tbe re-discovery of tbe web ofcausation in the HTest. Kant's ub/tle glasses" (a tenn due to Kleist) are acoral/my. "N(JW1leSS­

tunnelling" is a potentinlnew implication ofnatural philosophy (proposed at tbe secondime171ational conference all endophysics).

[230] "Chaos: the surprises ofsmooth flows." In Towards the Hamessing o/Chaos,7th Toyota Conference, !l1ikkabi, October 31- Nov. 3, 1993 (1'11. Yama­guti, ed.), pp. 323-333. London: Elsevier.

Steps towards a Klein-bottle attraaor are presemed.

[231] "Chaos, rationality and the 'bad-trip' problem" [Chaos, Rationalitiitunddas lfbad-tripll-Problem]. In Evolution: Entwicklung ul1d Organisation indel' Natur, Incontri a Bolzano, 1993 cv. Braitenberg and 1. Hasp, eds.),pp. 107-119. Reinbek: Rowohlt.

Desca'tes' bad dream, when he was 23 yent'S old, is identified as tbe source oftbe modemrevival ofAnaxagoreal1 ratiol1alism. LampsaC1ls, Anaxagoras'second homeunvlI, in whichhe inaugurated the boliday 1110mb for school cbildren, is tbe proposed name for a bome­town oflluwkind on the Internet.

[232] ,vith M.S. EI Naschie', "Interference through causality vacillation." InSymposium on the Foundations o/Modem Physics 94, Helsinki,]une 13-16,1994 cr. Hyvonen, org.), Extended Abstracts. Turkn: Report Series Pub­lication of the Department of Physical Sciences, University ofTurkn.

Feyml1an's 111any-paths-amplitudes Cfln be ,-eplaced by real paths which nre subjea tosbort time reversals 011 a micro scale.

[233] "What is chaos?" [inJapanese], Gendai-Shiso 22. German version in Chaosand Structure FomUition [in German] (H. Bremer, S. Habermeier and S.vVladarsch, eds.), pp. 151-155. Munich: Technical University "Faktum"Publications.

The 11tatbematicoland the metapbysical puzzle1J1e1lts provoked by chaos are illustrated bythree demons and.a cemor, all familiar in science (Anaxagorfls', Laplace's, Maxwell's;l\1a:t;well-Feyn1Jtfln censor).

[234] with R. Rossler' and P. \'Veibel', "The world as interface" [in German].In From Chaos to Endophysics - Scientists in Dial.gne [in Gennan] (F. Rotzer,ed.), pp. 369-381. Munich: Boer.

Superfluid liquid Helium is shown to mabie a qU(l1ltll1l1 Cope17lican experi1l1el1t, pro­'. vided tbe logic of2D artificial reversible universes catTies over to our own 3D world.

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58 O.E. ROSSLER

[235J "Micro constructivism." Pbysica D 75, 438-448.

Endophysics is pb)'sics in the age ofthe (de-)collst11lctionist paradigm. Its biftD!)' is re­viewed. This "holism" is even more mdical tban radical constructivism. The artificialnames "tace find spime" are intToduced to characterize an entanglement of "space andtime" [see 265J.

[236] with R. Rossler', "Chaos in physiology." Integmtive Pbysiological & Be­bavioml Science 29,328-333.

A review of the contributiQns ofphysiologists to chaos theory is attempted. It starts outwith H7enckebocbj "vmying-degree block" (in the KC.G.) and von Holst's "relative syn­chronization. "

[237J "The Improbability of Evil: the Mystery ofScience After Descartes" [inGerman] (A. Kluge, ed.). TV-Lecture, RTLISATI. First aired on May21, 1994 by RTL.

Tbis is a haJfhour lecture, for fl general TVaudimce, on the escape button discovered byRene DeSCa11es. It was recorded on the O(((1si011 of the 1994 Bonn conference on how tocombat Evil.

[238J "Limitology." In 011 Limits (T. L. Casti and J.Traub, eds.), p. 17. SantaFe Institute Publication 94-10-056.

A new "umbrella" is proposed under the 11ame oflimitology. It comprises both parado:d­cal and l1on-parado:dcallimits, as they occur in physics, mathematics, biology and sociol­ogy. About 50 percent of the limits listed con be overcome by means ofthe tedmique of"reaching out from within," with GiMel's theorem forming the first example. Uointwork with Y:-P. Gunji]

[239] "Intra-observer chaos: hidden root ofquanturn mechanics?" Chaos, Soli­tails & F"actals 4, 415-421.

This is the basic idea ofendophysics. That the 1llicrodynamics ofour brains irreparablytaints the objective world.

[240] with R. Richter!, C. Kruelle' and A. Kittel', "The 'triptych fractal': anew feature of the logistic map." Z. Naturfimcb. 49 a, 871-873.

Cycle length (sum afincrements as afunctian afiteration ml1llber) as afimctio11 afinitialposition is, in the limit, a fractal obsenJable of the logistic map. It has a characteristictripartite form.

[241] with P. E. Kloeden! and R. Rossler', "Artificial life extension: the epige­netic approach." Alln. N.Y. Acad. Sci. 719,474-482.

An epi-genetic therapy ofaging is a short-term alternative to the promise of a lfgenetherapy" implicit in the htU/lIm genome project. A hormone whose pbysiologicalfimctiollis the control ofaging may exist find be already available 011 the market.

PUBLICATIONS 11994-95

[242J with A. KitteP ,J. Parisi', M. Klein', G. Baier' and]. Peinke', "Iterationrule defines new class of connected and disconnected fractal objects. ll

Dynamics Days 1994.An iW'ated-fimction-system approacb to a class offat fractals is presented.

[243] "The world is interesting" [in German]. QMagazin 4/94, 59-60.

Tbe scapegoat mecbanism ofsociety is activated in tbe time of legislation that violateshmllanrights. A connection to Bateson's double-bind theMy e:dsts.

'995

[244] "An inttoduction to chaos." Int.]. Intell. Systems 10, 1-13.

The Enstem and tbe TYestem spirit of chaos, ·botb in mythology find in rationality, isreviewed and compared w/th modern developments -like tbe all-entangling long lim oftopology,

[245] with C. Knudsen', J. L. Hudson' and 1. Tsuda" "Nowhere-differen­tiable attractors." Int. J. Intell. Systems 10, 15-23.

A classification ofa elms ofattradors is proposed on the basis oftheir differing degrees ofdeficiency, Prototype equations are preset/ted.

[246] "Preface," In NonlfJcated online: 'Ien'itories, Incorporation and tbe Mot1'ix(Zeitschrift Medienlnmst e.lc, ed.), p. 5. Vienna: Passagen Verlag.

The Now ofsubjective experience constitutes tbe one "inteiface" which is the most readlilyavailable for inspection.

[247] Quantum Mecbanics, DiffilSion and Cbaotic Fmctals, ed. byM. S. EI Naschie,O.E.R. and I. Prigogine. Oxford: Elsevier-Pergamon, x-221pp.

A paper symposium is presented.

[248] with H. H. Diebner', "Deterministic continuous molecular-dynamics­simulation of a chemical oscillator." Z. Naturforscb. 50 a, 1139-1140.

A 1"eversible "artificial universe" can be understood completely, tbat is, both microscopi­cally and macroscopically. Sucb a hyb1'id scenario was a dream ofBoltzmonn's. Now, amacroscopic '"e(fm'ent time-dependent dissipative struetln'e (a concentration-oscillation)bas been produced from microscopic-revenible (Newtonian) first principles. The algo­n'tlm: moreover has the asset ofbeing exactly time-invertible, asfar as itsmecbanicalpart(~uithout tbe color-exchange rules) is concenzed.

[249] "The path ofchaos." In The Many Patbs [Die vielen Vvege], 8th CortonaWeek, Sept. 9-16, 1995 (p. L. Luisi, org.), p. 46. ZUrich: ETH Institutefor Polymers Publications.

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60 O.E. ROSSLER

Chaos theory exerts a ubrainwas!Jing e!fict" 011 its users in the seme that they are lurediI/to tJ)'ing to tmderstlllid the cosmos dowll to its jinest dc{ails;for tbis is 'what thq havegrown accustomed to expectfrom their CJWll trallifinitely e;':act mathematim/ oljeets. Chaos

. thus is Cartesian rationalism as its purest. [A discussion with Adolf .Muschg is ac­knowledged]

[250] with G. C. Hartmann', "Attractors with flares." P,-aetals 3, 285-296.

Generic Milnor-like attractors are shown to form a natural class of '(classifiers" oftime­dependent symbolic-dynamics inputs -like those generated by a chaotic time series. Theymay playa major role in the brain, in societ)" and even in wrbulencc. They firc also ofinterest fOr telephone surveillance and the automatic classification of time series ("dy­namical fingerprinting''). [Joint work with G, Baier]

[251] with G. C. Hartmann" "Flaring: a new type of dynamical behaviour."In Fmctal Reviews in tbe Natuml andApplied Sciences (M. Novak, ed.), pp.372-376. London: Chapman and Hall.

Flaring is reviewed and cOlljectured to be ubiquitous.

[252J ,vithA. Kittel',]. Parisi', M. Klein" G. Baier4 and]. Peinke', "Tori-in­a-tOlus fractals,)) In Fractal Reviews i11 tbe Natural and Applied Sciences(M. Novak, ed.), pp. 365-371. London: Chapman and Hall.

A number of a:dcrm-A "elated fractals in maps and iterated function systems are pre­sented.

[253] ""vhy science? The anti-Lovecraft effect." In Janna-Fix-Paper-Sympo­situ" (M. Fix, ed.). Frankfurt: Internet Publication, Institute for NewMedia.

The novelist Lovecraft maintained that tbere odst truths tbat are so bonible tbat afterbavingfirst leamed about them, one forever wisbes oneselfback to tbe state before tbatmoment. The l'ant-Lovecmfi effect" is analogous bIltpoints the otberway: Here oue pitiesevery hour ofone's life in which one did not yet know about the truth.

[254] "Rationality, instability, exteriority" [in German]. In Tbe Evil (Das Bose)(F. Rotzer, ed.), pp. 103-112. Gottingen: Steidl-Verlag.

Emmanuel Levinas' theory ofexteriority is explained.

[255] with R. Rossler' and P. E. K1oeden', "Slower aging in women: a pro­posed evolutionary e'"planation." BioSyste7l1s 36, 179-185.

The biologicalfact that women live 10 percent longer tban men is eJ.-plained tbeoretiCfllly:The nproduction ofa ftmale paradoxically takes longer find is more costly thon that ofamale, Quantitatively, the fact that the differmce is so small in human beings (hilt fivetimes larger in sperm whales) am be used as an '1J[lleoarcbeologiCflI sentinel": It enablesconclusions to be drawn about the early (pre-cultural) hzmum man'talfidelity.

PUBLICATIONS 11995-96

[256] ((Vertical and horizontal exteriority." In Intelface 3 - Delicate Construc­tions, International Symposium Hamburg, Nov. 1-3, 1995 (5. Zielinski,G. Lovink and C. i'Veiss, orgs.), Abstracts, p. 64. Hamburg: 11'linisuy ofCultural Affairs/Anton Lettenbauer Publications.

Levinas' theory of exteriority is shown to come in two varieties, demiurgical (towardslower-level universes) and imeractiol1al (towards otherpersons). Tbe two, Il1Jlllzil1gly, areequivalent. An appliCfltiol1 to global ethics is proposed (Germlln-Israel-rellltiol1).

[257] "Jumping identities of particles." Symmetry: Gull1m & ScieJIce 7, 307­319. German version in Evolutionary S)?J117tetry Theory: Selforganizationand Dynamical Systems [in German] (W: Hahn and P. i'Veibel, eds.), pp.133-144. Stuttgart: Universitas S. Hirzel Verlag, 1996.Particles on the ring e.w!uwge their idemities, both at coincidence and at uanti-coinci­dena." The latter result is derived using (1 series ofgeometric pictures. It represents, ifcorrect, a highly paradoxical fact o!nature, both in mathematics ll11d in physics.

[258] The Flaming SW01'd: Or How Hermetic Is the Inteiface of Microconst171C­tiviSJ1l [Das F/ammenschwert - Oder wie he'7netisch ist die Schnittstelle desMikrokonst1?lktivismns?]. Bern: Benteli Verlag, 146pp.Can the fISh behind the curtain be cought? Elements from the history ofendophysics aremingled with possible experiments (like exo gambling) and reflections on Einstein andGandhi. An appendix deals witb Lampsaeus.

[259] "Ultraperspective and endophysics." BioSystems 38,211-219.The emergence ofthe exo-viewpoint of0 person in individual ontogenesis, isjuxtaposed tothe emergence ofthe endo-viewpoint in trans-individualpbysics. Lampsacus incorporatesbotb viewpoints.

[260] with K P. Zauner', i'Vebsite of Lampsacus, hometown of mankind onthe Internet [http://www.cs.wayne.edul-kjz/lampsacusl).Tbe "human rigbt to information" is guarameed by tbe Second Post, as Lampsacus is alsocalled. All illfirmationalneedswill be 11letfree ofcharge, once La11lpsacus has been imple­mented 011 the Net. The rtVeJllles from a fund of10 billion Dollarr will be sufficient tol'get it going. "SunJivability of tbe planet's youthful majority can then be guaranteed inin a 1I1011dela-like fasbion. Tbe sponsor country will automatically become the most Ve1l­

erated country ofthe future.

[261] ('Artificial persons." In Brain, Compute1; Evolution, International Work­shop on the Frontier of Telecommunications Technology, Kobe, Dec.9-10, 1996 (H. Sawai, H. Isahara, A. Ito, T. Ikegami, orgs.), pp. 1067114. Kobe: 1Vlinisuy of Post and Telecommunications, Japan.

'.

6r

62 o .E. ROSSLER

]A.R.A.M. van Hoo!,s discovery' ofthe unique bi-fimdiollflll1flture ofthe btmuZ1/ smile(as expressing both "friendliness" lmd "happiness'') lends itself naturally to fl tbeory ofinteractional acquisition ofpersonhood. The theo1J can be tested soon 011 artificial brainswhich firc believed to be non-conscious. Howeve1; it can be tested iodate, on COllSciOllS

flllimalr that nrc (1) social and (2) min'or-cQmpetent. Ele/ants, apes, CCtllCCflllS and evmgiant octopuses nre candidates. When Allan and Beatrice Gardner first taught languageto lVnshoe, they bid her in n f1'oiler and shut 1'eporters out - as precflutious measures toprotect her (e.'l.:pected) personhood. Ifpersonbood can be t111ificially elicited, the resulting"white elefant"will inded deserve the highestprotection. Howevn; the simple recipe ("showaffiction whenever you are happl~ has, so far not even been tested on buman childrenbom blind, to treat theirfrequent flutis1l1.111terestingly, the acoustic smile offriendlinessis, unlike its optical counterpart, Ve1Y different from the acoustic lrmgbter ofhappims.JFhen personhood can be understoodscientifically, so can the inalienable rights ofpersollJ.It is bere tbat tbe present tbeol)' bas a vital role to play: to p1"Otect personsfrom tbe allegedgreater importance oftbe planetS blueness.

[262] Cbaos, Information and Diffusion in Quantum Pbysics, ed. by 111. S. El Na­schie, O.E.R. and G. Ord. Special Issue of Cbaos, Solitons & Fractals 7,No. 5,pp. 611-819.

Tbis is a paper symposium.

[263] with P. Strasser' and G. Baier\ "Hyperchaos and chemical turbulencein enzymatic reaction-diffusion systems."J. Cbem. Pbys. 104,9974-9982.

A1any types ofchaos occur in spatially distributed realistic abstract reaction systems. Sahlesplotting technique is very belpful for the visualization.

[264J "The mystery of the interface" [in Japanese]. In Gendai-Sbiso 24 (11),339-345.

A revitlv ofendophysics is given from a rVestern perspective (= rationalistic gnosis, worldchange technology). .

[265] "Mlcrokonstruktivismus." In Lab 1995/96 (H. U. Reck, S. Zielinski, N.Roller and W. Ernst, eds.), pp. 208-227. Cologne: Verlag der Buch­handlung VI'alther Koenig.

This is a thorough ,-e-working of the almost synonymous paper in English of1994 [see2351, doue in colJabomtion 1vith N. RiJJlcr.

[266] ((Relative-state theory: four new aspects." Chaos, Solitons & Fractals 7,845-852.

Everett's many-worlds theory is shown to be more powerful than previously anticipaud.It is an inteiface theory and as such does with a single (exo) universe. Also, it holds thepromise ofa mdically new teclmology.

PUBLICATIONS / 1996

[267] with H. H. Diebner' and T. Kirner', "Time reversibility and the logicalstructure of the universe." Z. Nat1nforscb. 51 3 1 960-962.

The question of whetber or not there exists macbinery outside tbe inf0r7nation that isaccessible to tiS as ime17lalusers of tbe 1l11iverS£1 is sbown to be empirically decidable inprinciple.

[268] "Rite of passage: only by stepping out ofphysics is it possible to enter it"[in German], In R'ansition Ait and Eleveted Romp [Ubergaugsbogen undUberhbJmngsrampe] (B. Ecker and B. Sefkow, eds.), pp. 130-133. Ham­burg: Material-Verlag.

The sbolterr way is not always tbe fastest.

[269] with iV Tschacher!, "The self: a processual gestalt" Chaos, Solitons I:;Fmctals 7, 10ll-1022.

A Bateson-inspired functional theory of tbe ''self' is presented.

[270] ,,~th R. Rossler! and 1'. E. Kloeden', "Life extension through interferingwith the biological clock" [in German]. In Technology on Its Way to theSoul: Researcbes Pe1forfl1ed at tbe Interface betweeen Brain and Computer,Academy of the 3rd Millennium Conference, Munich, Febr. 17, 1995[Die Teclmik aufdem UTeg zur Seele: Forsclnmgen an del' Sclmittstelle GehinllComputer] (c. Maar, E. Poeppel and T. Christaller, eds.), Pl'.. 309-319.Reinbek: Rowohlt.

The "melatonin substiNJtion thernPY"for aging mice and 1lten is put in relief, against thebackdrop ofproject LampSfleus.

[271J mth R. Rossler', P. E. Kloeden' and A. Hoff', "Pitfalls and questionsconcerning the melatonin-anciaging pill." In Second Locarno IYIeeting onNeuroendocrinology (G. J. M. Maestroni, A. Conti and R. J. Reiter, orgs.),May 5-8, Locarno 1996, Abstracts, p. 51. Pathological Institute ofLo­carno Publications.

The open questions conce17ling the melatonin anti-aging therapy moe summarized. Ame/atollin e!ftct on teumlere length is predicted.

[272] "Do 'super suns' and 'super planets' exist? An endocosmological hy­pothesis." In 167th W E.-Heraeus-Seminar on Nonlinear Physics ofCom­plexSystems, Bad Honnef, Nov. 4-6, 1996 (J. Parisi, org.), Abstracts, p. 31.Hanau: W E. Haereus-Stiftung Publications.

A genuine steady-state hypotbesis of the universe, ~vitbout e).'PfOlsion, is observationallytestable.

O.E. ROSSLER

'997

[273] with]. Parisi2, "Some remarks on the experimental realization ofa mindmachine." HioSystems 42,207-208.

A1icro-ps),chophysics am be put to nfirst use.

[274] "The Sun of the Good" [Die Sonne des Guten]. In Tech1loftction: Con­cenlingthe c,'itique ofthe Technological Utopias, 7th International BauhausColloquium, \Veimar, June 1996 (G. Zimmermann and H. Schimmel,eds.). Thesis 1, 22-27.

The "castle ofpersonhood" (non-autism) can todote be erectedjor the first time on a hardscientificfoundation. The smile ofthefuture can be perceived and responded to. With twophotographed, heart-moving smiles. [VVith Klaus-Jiirgen Bauer]

[275] with A. Kittel' ,J. Parisi',J. Peinke', G. Baier' and M. Klein', "Unifyingiteration rule for fractal objects."J. Phys. A: Math. Gen. 30, 18887-1896.

New 1"eSlllts on 1l0where-diffferentinble boundaries.

[276] "Chaos: a Copernican turnabout?" [in German]. In Kol11plexitiiilllld Selhst­organisation (H. Krapp and T. \Vagenbauer, eds.), pp. 77 -97. Munich:\V"IIhelm Fink Verlag.

A review ofchaos theory for a general audience is attempted, with atl emphasis on theammction to Bohr's theolY ofcomplementan"ty.

[277J "I am but I do not have myself" (in German]. InPmpektiven der PhilosophieErnst Blochs O. R. Bloch, ed.), pp. 238-251. FrankfurtlM: Suhrkamp.

I do not have "tyse/fbru I have the other: This is the connection between imeiface theoryand ethics. The Blue Card is introduced. [Joint work with A. Sentker and H. Knlpp]

[278] "Vertical and horizontal exteriority: the Blue Card in Lampsacus" (inGerman]. In lllterface 3 (K. P. Dencker, ed.), pp. 303-313. Hamburg:Verlag Hans-Bredow-Institut.

The Blue Card generalizes the Red Cross to the non-military realm and generalizes theright-of1vay ofambulances to the non-medical realm. The proposal ofa Ge1711an offir ofre-Ullificntion to Israel is made ill the same spirit. [Paper dedicated to EmmanuelLevinas]

[279] "The origin of free will in coupled autonOmous optimizers with co­gnition," In First Joint Conference on Complex Systems in Psychology:Dynamics, Synergetics, Autonomous Agents, Gstaad, March 2-5, 1997 O. P.Dauwalder and W: Tschacher, orgs.), p. 3. Lausanne: Department ofPsychology. .

PUBLICATIONS / 1997

The scenario of a deterministic reversible artificial universe, comnilling two embeddedmacroscopic artificial bmim ofa specific type C'Illlt01l0mOus directio1l optimizers combimdwith a universal VR'; is cOllsidered. The macroscopic imemctional bifurcation towardmutual benevolence enables mutual voluntary slavedo1Jt. (Recall that "ciao, n the Italianexpression for ugood bye," means "I am your slnve.'; The acquisition ofthis macroscopicdynamical state in a deterministic universe is pamdoxical since it represents a shedding ofdetenJIinis11l 011 the macro level while dete17JIinism is retained on the min"o level. Is thispossible? Goint work with T: Ikegami].

[280] with H. H. Diebner' and A. Kittel', "Micro time reversal: is reality ob­server-state relative?" Infii17l1ntik-Forllm (Vienna) 11 (1),4-6.

The focm is on the many-oscillators structure ofa dassical, "smooth" Sinai gas that arisesif the gas partides are indistinguishable. An associated vacillation ofexternal (flusality ispredicted.

[281J with H. H. Diebner' and W Pabst', "Micro relativity." Z. NntUlforsch.52 a, 593-599.

The conditions under which a population ofmany oscillators ofthe same mean frequencygenerates ajoint time reversal m'e discussed'in a semi-quantitative fasbi011.

[282] with i;lf. Nadler' and H. H. Diebner', "Space-discretized Verlet-algo­rithm from a variational principle." Z. Nntuiforsch. 52 a, 585-587.

A discrete version ofLeibniz's principle of least action leads naturally to an improved"exactly invutible symplectic integration algorithm. n The latter at the same time con­taim a built-ill1wmedcnl"physicnlity criterion" that can he continually monitored dur­ing the simulation.

[283] with T Kirner', "Frequency clustering in a chain of weakly coupledoscillators." Z. Nntuiforsch. 52 a, 578-580.

Diamom discovered a chaotic "waxing and wanillg" in a chain of coupled limit cycleoscillators with fln intrinsic smooth frequency gradient. This onalogtlC computer result ofthe 1960's is l"eproduced in digitol computer simulations involving 100 oscillators. A10re­over, ''frequency plateaus" are obt11illed in a model ofexcitation-conduction in the heart'satrium which, too, is subject to 0 frequency gradient. It is the strip ofcardiac tissue thatleadsfrom the Sine node to the Aschoff-Tawara llode.

[284] "Cession: twin of action" [La cesi6n: hermana gemela de la acci6nj inSpanish]. InArle en In era electrollien (c. Giannetti, ed.), p. 124. Barce­lona: Associacion de Cultura Comempodnia I1Angelot and Goethe­Institut Barcelona.

The product ofan acti011 and a velocity (h times c) yields a new fundamental physicalquantity, energy times distance (termed "cession'') that is quantized in nature.

[285J with P. iVeibel', "On exo and endo symmetry" [in German]. InP. iyeibel,

66 O.E.ROS$LER

Beyond Art [JellSeits von Kunst, in German], p. 225. 'TJenna: Passagen­Verlag.

A dfUSica/ mdo explaJlation ofthe origin oispin find spin-pairing in l1atm'e is proposed.

[286] "Anaxagoras' unmixing of chaos through the spirit of ethics" [in Ger­man]. In Lab 1996/97 (H. U. Reck, S. Zielinski, N. Roller and ViZ Ernst,eds.), pp. 277-292. Cologne: Verlag der Buchhandlung Walther Koenig.

The fUming-over oftaffy (in chaotic mixing) and the turning-over ofbemts (ill1nutunlfmderstfl11ding) is compared find sbown to be related.

[287] with K. Matsuno', "Endophysics and Satori" [in Japanese]. Conte11lpo­rmy Philosophy, Seido-sha Japan, pp. 201-231, 1997.

The tranquility afthe exv penpective in science is compared witb the Easte17l and gnosticataraxia (tmdisturbability) afthe mind. Uointlywith K. Ito]

(288] with G. C. Hartmann2, HA self-similar flare attractor. 'J In 4th Experimen­tal Chaos Conference, Boca Raton, August 6-8, 1997 (M. Ding, ViZ L.Ditto, L. M. Pecora,M. E. Spano and S. Vohra, orgs.). Abstracts, p. 97­98. Arlington: ONR Publications.

Flare attnlCtors poucss one or the other oftwo new prototype Kntsuura functions in a crosssection: either the '?ion's paw" or the "firy flames."

[289] with P. 'Weibel', "Endophysics - new perspectives in physics: is physics aspecial case of media theory?" [Endophysik - Neue Perspektiven derPhysik]. In Documenta X -100 Days-lOa Guests, Kassel (c. David, ed.),Day of August 19, 1997 [the full-length video is found on the websitehttp:/h,~vw.mediaweb-tv.di:/dx!0819/gaeste.frame.hnnl.].

The integration ofphysics into media theory as a subdiscipline is advocated, in a jointlectllre-pel!ormal1ce.

[290] Outer World - I11"er Wo1'ld - Upper UTorld [AlISsemvelt - bmenwelt - Uber­welt], by O.E.R. and P. Vleibel. Aktuelles Denken, Luzerner Vorlesungenund Gesprache (R. Stettler, ed.). Basel-Frankfurt: Stroemfeld (RoterStern),36pp.

A publicly performed dialogue is presemed: on the new e:I.·O perspective in physics, with anemphasis on Bell non/orality and the many-inteifaces theory ofEverett.

[291] Interventions - Ve1tical andHorizolltallhspassing [Interventionen - Vertikaleund borizontale G","ziiberschreitung], by O.E.R. and R. Stettler. AktuellesDenken, Luzerner Vorlesungen und Gesprache. Basel-Frankfurt: Stroem­feld (Roter Stern); 36pp.

A plibUc/y performed dialogue is presented: on the "vertica/jump" (to the point Omega of

PUBLICATIONS / 1997-98

cosmic evolution} through the adoption ofultraperspective, and 011 the "horizontaljump"(to the microscopic henrt ofmatte1) through the adoption of the C.YO perspwive, respec­tively.

[292] "Lampsacus: hometown of mankind in the Internet." In 9th Interna­tional Conference on Systems Researcb, inftrmations and Cybernetics, Baden­Baden, August, 18-23, 1997 (G. E. Lasker, org.), p. 23. "Windsor: Inter­national Institute for Advanced Studies.

An outline ofparts ofthe book project with TV.lV-iese on Lampsllcus is presented.

[293] "The world as an objective illusion" [in German]. In Phantome - !denta97 Conference, Gasteig, Nov. 1-2, 1997 (U. MUller.]. Schultz and H.Dedert, orgs,), Abstracts, p. 2. Munich: Gasteig BGmbh Publications.

UTVhile chrmging, it is constant." Heraclitus' invisible change is taken up in the context ofEverett's theory. A means offalsification (tbe "40_THz helmet'') is suggested.

[294] with G. C. Hartmann', "A society of flare attractors." In Diffilsion andStructure Formation, 181th WE-Heraeus Seminar, Nov. 10-12, 1997 (S.C. Muller, ed.). Abstracts, p. 22. Hanau: \¥E-Heraeus-Stiftung Publi­cations.

Coupled flare Ilttrnct013 mimic rJ11 ece!llomy offirms, The individunlmembers, 1uhmdiffusion-coupled (through n tax system orbanks), are surprisingly l"esiliellt asfar as theirqualitative behavior is concerned.

[295] "How does the human soul look like?" (Drawing). 'ntanic 19 (217), 9,

A tear trap witb three dots like aface was drawn spomaneously on a small sheet ofpaper,as all h0111mage to Oliver Schmitt.

[296] with M,S, EI Naschie', "The decisive message of Bell's superluminalexperiment: objective physics is a personalized mirage. 1I In Tbe TlJit-dInternational Conference on Engineering, A1atbematics and Physics, Cairo,23-25 Dec, 1997 (F. M, Tayel and M, lI1essiery, eds.), p, x",:viii, Cairo:Cairo University Faculty of Engineering Publications,

A review oftbe 1-elativistic Bell experiment, including its almost certain outcome and itsmost important implicatiotlS, is presented.

[297] with R Rossler' and P. \"1eibel', "Is physics an observer-private phe­nomenon like consciousness?"J. Consciousness Studies S, 443-453.

Is the observer-diameter encoded in tbe fundamental constants cand b? An intetfaee­tbeoretic explanation of the speed ofligbt is offered in analogy to tbe previously proposed

68 O.E.ROSSLER

imeiface-tbeoretic explanation ofPlflncks constant. A sentinelfor the location oftbe seatof COllSciOIlS71CSS (m01-e precisely: the illwface) would be implicit. "Scrap-paper experi­ments, ""Kojkaesque physics" and "PoP tests" (for "Priv(lcy-o[-Physics'J belong togetherin the spirit ojDeleuze.

[298] Endopbysics: The HfJrldas an Inte1face (textselection by P. Weibel). Singa­pore: ''lorld Scientific, x'Vi-204pp.

This is a considerably enlarged find updated English version of the 1992 German-lan­guage book with II simUar title [enlarged english version of 197 with the originalpapers].

[299J "Can a program force the programmer to reply?" In Art @ Science (c.Sommerer and L. Mignonneau, eds.), pp. 193-196. New York-Vienna:Springer ~r,en.

The answer, surprisingly, is yes. As the TVester71 mystic Rene Descartes first raw.[Hommage to A Muschg]

[300] with]. L. Hudson', R. Rossler' and]. Parisi" "BSE viewed dynamically:a possible early cure based on passive immunization against PrPSc." InA Perspective Look at NOlllinear Media: From Physics to Biolof!J' and SocialSciellces cr. Parisi, S. C. Miiller and W Zimmermann, eds.). Springer­Verlag, Lecture Notes in Pbysics 503, 192-196.A reaetion-kinetic-osdllntor model of the so far deadly mad-cow disease idndicdud. Astraightforward therapeutic implication is derivedfi"Om it.

[301] with H. Kuypers' and]. Parisi', "Gra\~tational slowing down of clocksimplies proportional size increase." In A Perspective Look at NonlinearMedia: Frlll1t Pbysics to 13iolnf!J' and Social Sciences cr. Parisi, S. C. Miillerand ~( Zimmermann, eds.). Springer-Verlag, Lecture Notes in Pbysics503,370-372.A new tedmical imtrument - the "rV-Ai" diagram - is introduced for light beams thatare exchanged between diffirem gravitational potentials. The following apparently newcondusion follows: Near a black hole, all pb)'siCll/ bodies increase in (at least veHical) sizeby the Sflme factor by which docks are s/cfwed down at the same location.

[302] with R. Rossler' and C. Giannetti', "An actually implementable utopia"[Una utopia realmente factible, in Spanish]. In arstelematica (C. Giannetti,ed.), pp. 17-21. Barcelona: Associaci6n de Cultura ContemporaniaUAngelot and Goethe-Institut, Barcelona. Also (in Portuguese) in AnTelematica - Telecommunicao, Internet e Ciberspnco (C. Gianetti , ed.), pp.29-39. Lisbon: Mediacoes.Tbe hometown ofmP11kind on the Inte171et, LnmpSflcus, is shown to be fl non-utopic dreamin the spirit ofart.

PUBLICATIONS / 1998

[303] with K. Matsuno', "The relativist stance." HioSystems 46,213-216.

Relativist and absolutist thinking arejm.:taposed and tbe fonJler is sbaw11 to be superior in011 absolute sense, so to speak. A new potential impliCfltion oftbe micro-t'elativistic stance,"deep teclmology, II is predicted.

[304] ,vith H. Kuypers', H. H. DiebnerJ and M. S. EI Naschie', "A1most­black-holes: an old-new paradigm." Cbaos, Solitons &' P,'actals 9, 1025­1034.

Near a black bole, no matter bow dilute (giant) it may be, ligbt is t'edsbifted in a lawfullyrndius-dependem mal11m: This fact is used as tbe startingpointfir anew conjecture: tbata distance-dependent redsbift applies to ligbt tbat is exc!Janged betwew equipotentialpoints in a Sclnvarzschild 1Jtet1-ic. A simple topological argument is adduced in support. Acandidate for afirst-principles explanation of the Hubble redsbift law would tben exist.Secondly, a quasar1}Jodel based on the notioll ofagiant (galactic-mass) almost-blnck-bolethat was int1'oduced by Zeldovich in the 1960's is revived. Thirdly, the singularity insidea black hole is shawn to be only in time. FOUlthly, a plunge into a black hole is shawn toamount to a new type ofdeath wbich leaves no cOlpse (neither inside nor outside).

[305J ,vith G. C. Hartmann', "Coupled flare attractors: a discrete prototypefor economic modelling." Discrete Dynamics in Nature &' Society 2, 153­159.

A micro-ecomm:ic model based on flare attmctors is offered, with simulations. Fn'edrichJahn's bestselling book "TVielJe1Wald - From waiter to Millionaire and Back" [in Ger­man] is mentioned as a Jiving iIIustrati<m ofaflare attractor.

[306] ,vith H. H. Diebner', "A deterministic entropy based on the instanta­neous phase space volume." Z. Natwiorscb. 53 a, 51-60.

The "instantaneous phase space volume" is surprisingly detenJJined by the l1JOmentarypbase space point. It can be calculated easily in a Molecular Dynamics Simulation. Theproposedformula has a beautiful, correlation-dimension-like, strllcture. It was obminedas a natural generalization ofBolrzmmw'sfamous H-fimction.

[307J with W. Kriese', M1lt Z1l La11lpsaC1ls: Die 1111lltik1lltul'elle Mindel'beiten­gesellscbaft - Das Internet als Chance. Rottenburg: Mauer-Verlag, 70pp.

Some oftbe assets and tbe liabilities that will be incurred, once the "Hometown ofMan­kind» bas been implemented on the Illtemet, are a1lticipated. In particular, a Jist of el20coulzterargumellts" is givm. They are carefully refitted [see 368 for the English ver­sion].

[308] "On the physics of the internal observer: outline ofan 'objective subjec­tivity»)' [in German]. In Powel; Insanity, Meaning [Macht Walm Sinn(Iitterally: "Does Insanity Make Sense?")], F01lcault 'INbunal Z1l1' Lagedel' Psycbiatrie (R. Talbot and D. Kamper, orgs.). Berlin: Department ofSociology of the Free University.

O.E. ROSSLER

PI'eud was one of tbe most compassionate persons ofhisto!). Subjective objectivity wasdiscovered by him. Elldophysics is related ill ib'powcr to 111l1111/ltsk." Nevcrthefw it is 1I0ta microscopic variant to psycboallalysis. It both goes fartber and less fay. Fartha; becauseall otherpersons p1"Ovably partake in tbe same physical wodd. Lessfat; because tbe empa­thy ofpsycboanalysis has a humanistic touch not so far matched by endopbjysics. Thedifference is analogous to tbat between Knntian pbilosophy and science: The physical ana­logue is always the more naive olle.

[309] with R. Stettler', "Ultraperspective, endoperspective and physics." InConsciousness Reframed, II: Art and Consciousness in tbe Post-Biological ETIl,2nd International CaiiA Research Conference, Newport, Aug. 1998 (R.Ascott, ed.). Abstracts, p. 48. Newport: University of \\Tales CollegePublications.A dialogue 011 Chuang-Tzu's claim that the medium (water) is unrecognizable fromwithin is preset/ted. Tbe problem ofNow-control is a 1110dem illustration.

[310] "The World as accident." In Tbe Art of tbe Accident - DEAF98 S)7"PO­sium, Amsterdam, Nov. 20-21, 1998 (A. Broeckmann andJ. Brouwer,eds.), pp. 372-382. Rotterdam: NAI PubiishersN2 Organisatie.Everything is accident - deliberate accident at that. For the assignment is not ours towake (as the example of the Now shows). However., the "TV program" of living con­sciollsness is not everything: There is also the "TV set. " It is infinitely 1110re importantsince it is invariant (across programs and universes). Compared to the program, it isinvariant. In fact, since there never can be no program, it is indestntctible. The etnptymin'or. Hence bmevolence carries no risk. [1. Tsuda kindly helped]

[311] "Butterfly of fi'eedom" [in German]. Reutlinger Generalanzeiger 111, Sept.5, p. 26.

The perbaps simplest 'Jerk equation"for a cbootie attroctor is indicated [j + v + 0/5 + x(0.586 - x) = 0 ]. Hereby x is position, v velocity, a acceleration and j tbe change ofoeee/aration. As fl11 initial condition, 0.01 token three times is okay. [Taint work with].L. Hudson on an equation from 43]

[312] with]. w: Jonas', The Laugbing Camel [Das lacbende Knme~. Tubingen:Schwiibische Verlagsgesellschaft Anton Brenner, 32pp.A sbort collection ofsligbtly pbilosophical aphorisms is presented, tongue-in-cheek.

[313] Goetbe Viewed from tbe Back - As an A1Tificiai Flower find Human Being.Contributions byJ. Eichenbrenner, H. Fuchs, G. der Buddha, K Hardter,L. Heinle,]. W. Jonas, B. Kasparak, C. Kieser,]. Korner, O.E.R., S.Sable, S. Schneider, K Schreiber, M. Spaich, U. Steiger and U. Stolte[= Srnmmtisch "Unser Huhn"; Goethe von hinten - Als Kunstblu11le undMenscb]. Tubingen: Klopfer, Meyer und Co, 141pp.

Some reflections by Goetbe on Lampsacus were unearthed, along with some other littletbings.

PUBLICATIONS 11998

[314] with A P. Schmidt', "The anti-Gutenberg effect: can our knowledgecontribute to a big-brother controllability of society?" [in German].Zukiinfte 7 (Fall), 65-68.

It is proposed tbat Lmnpsaeus must contain n librmy ofall previous versions, in perma­nently ,·etrievable, multiply stored fon11. F01· otherwise, tbe historical progress ofbooks­publishing, invemed thousands ofyears ago, and being analogous only to tbe two previollsinventions o/life and language in its evolution-enabling "brick-like 11 nature, will be un­done by the invemion ofthe Intemet. W'ith the consequence ofa new dark age following.

[315] "Reversibility-based irreversibility and evolution." In International H70rk­shop on Disordered Dynamical Systems, Dresden, March 2-6,1998 (G. Ra­dons, org.). Dresden: Max Planck Institute for Complex Systems.

The idea oftbe usboe-shaped" baker's map is proposed as a disc1'ete model ofthe far;"from­equilibrium reversible systems ofnature. It behaves mucb like the "D-fimetion" - the1lew H-fimction-allalogous obseruable ofa many-panicles Sinai-type gas.

[316J "Is turbulence a multi-flare attractor?" In International H70rkshop Physicsof Turbulence, Dresden, August 3-7, 1998 (R. Friedrich and]. Peinke,orgs.). Dresden: Max Planck Institute for Complex Systems.

Turbulence is viewedas anaturalselection fl1J1ongjlaring "W017J1S" in tbefluid -steamlimswith temporaneomly positive Lyapunov charncten'stic exponents. Joillt work with J. L.Hudson, J. Peinke and G.c. Hartma7ln.

[317J "Hometown of mankind in the Internet for the Third Millenium." InThe Culture ofPeace, 1Oth International Conference on Systems Research,Wormation and Cyhernetics, Baden-Baden, Aug. 17-21, 1998 (G. E.Lasker, org.), p. 2. Wmdsor and Paris: The International Institute forAdvanced Studies in Systems Reasearch and Cybernetics and UNESCO.

A scientific tbeory o!'Jllman ,"ights is pOSSible and has an intrinsic, moving appeal.

[318] with G. C. Hartmann', H. H. Diebner l and G. Radons" "Flares as H­function peaks in a multi-bakers map. H In First 11lte17lational Confirence011 Disc1'ete Chaotic Dynamics in Nature and Society, Beer-Sheva, Oct. 19­22,1998 (V: Gontar and M. Sonis, orgs.), Abstracts, p. 33. Beer-Sheva:Ben-Gurion University of the Negev International Group for ChaoticStudies Publications.

A staircase-like baker's map is indicated. Loml height decreasesexpo1lemiaJIy jrQ1Jtsubmapto submnp. While phase-space density is ev(7)'wbere tbe same in tbis invertible 2D map,tbe "thin tllil" 1's visited only very rarely - i'11 both directions of time. If the map is placedvertically (so that the tail points up), the vertical variable exhibits typical "jlaring behav­ior." A simulation with 1110re than 260,OOO-digit-accuracy is presented. The map is withits local height a model oflocal pbase space volume, as it is measured by the "D-fimetion"o/statistical mecbanics {see 359].

71

72 0 . E. R 0 S S L E R

[319] "Lensing-induced redshift: a new nonlinear gravitational effect." In 204lbH( E. Heraeus-Seminar on 'Elementary ft.1ecbanisms ofComple.t· Structures'cw: Zimmermann, org.), Bad Honnef, Nov. 2-4,1998. Abstracts, p. 41.Hanau: VI. E. Heraeus-Stiftung 1998.

The e.·..:istence of "light-chaos" mar a black hole is conjectured all the basis ofJacquesHadamard's lOO-year-Qld discovery ofexpone11tial divergence ofmigbboring geodesics 011

surfaces of negative curvature. Combination wit/} tbe Hnnbury- 'FwissIB,"owll effect ofquantum mechanics mayor may not generate a distonce-depende1lt redsbift.

[320] "Heavy data, light data, world bomb: or how dangerous is the inter­face?" [in German]. In 1st Conference on Heavy Data Research, Frankfurt,Nov. 15, 1998 (G. Gramelsberger, M. Klein and M. Fix, orgs.). Frank­furt: Institute for New Media.

Everett 11/ost likely discovered it while working at tbe Pentagon. The "world bomb" canonly be used to good avai!-1Jlucb /ike an icecreom bomb. It has tbe shape ofa diving bellfind is effective only for the person inside. Nevenheless tbe whole universe is found to beaffected, By manipulating the micro il1te1face, the world can be trfl11sftrmed into paradisein principle.

[321J with A. P. Schmidt!, "Cyberpeace: manifesto for a home in cyberspace"[in German). Telepolis, 6 April Ihttp://www.heise.de/tp/deutschlinhaltlte/1438/LhtrnlJ.Remarks on tbe ''second post" (Lnmpsacus) and its anti-surveillance policy to secure peacein tbe future.

[322] with A P. Schmidt', "The workingplace-creating explosion: the altru­ism of Lampsacus viewed as a benchmarking for a perpetual motionmachine ofwork" [in GermanJ. Telepolis, 20 February [http://www.heise.de/tpldeutschlinhaltlco/22701 l.htrnIJ.The second port (Lampsacus) and the globaljob market are considered together as ajointautocatalytic plJe110mC1lon.

[323J with A. P. Schmidt', "The world view of endophysics: for the physics ofthe computer age, the interface becomes the world lJ [in German]. Telepolis,24 July [http://www.heise.de/tp/deutschiinhaltico/241O/LhtrnlJ; "Theworld view of endophysics: the interface is the world" [in German].WecbselWirkulIge1l20 (no. 93), 34-38, OctoberlNovember.Endophyics is explained to a general audience.

[324] with A P. Schmidt', "The new enabling act: Europal or the incapacita­tion of the citizens" [in German]. Telepolis, 21 December [http://wmv.heise.deltpldeutschlinhaltIglossel571/ l.htrnll].

Impending legislation in Europe, and currently effective legislation in Germany (mUi-

PUBLICATIONS / 1998-99

taty-obedience-law in zmiversitiesj eavesdropping-on-homes law), re-establish an OrwellianprimaC)' ofa non-benevolellt state ovcr humoJJ digl1ity. It relives tbe past and 17l1lS coulltera scientific theory ofhuman rights.

[325] "Chaos Attractors" [Chaos-Attraktoren]. An exhibition (Anton Brenner,org.). Nonnenhaus, Tiibingen, 9 Sepr. - 11 Nov.

An exhibition with large-scale computer-generatedpictures and satiric talks by membersof the literary circle IISta1l1mtiscb (Unser Hulm'."

1999

[326] "Interfaciology.H In Hermeneutics and Science, Proceedings of tbe Interna­tional ConfemlCe, Veszprem, Sept. 6-9, 1993 (0. Kiss and L. Ropolyi,eds.), pp. 95-102. Dordrecht: K1uwer.

The ntw discipline oFIIl1Wfaciology" is introduced. It is illust1'flted by a detailed descrip­tion of the two demons discovered by Maxwell, tbe (me whicb gurn'ds the second law oftbermodynamics microscopically,. and the less well-known second one wbich prevents thetnte (exo) bebavior of(my micro object from being obsenJable from within the universe.Marwe1l1lSed tbe term "impalpability" for tbis second impossibility.

[327] "Measuring the future." In Measurement and Selfsimilarity, ZeinisjochConference, Febr. 17-24, 1990 (Po J. Plath, ed.). In pms.

Ifit is true that the observer-externalworldsuffers objedive time reversals in very rapidsuccession (femtosecond intervals), a new empirical prediction can be made: An outgoingcOlltrolling signal (oding on a quantum object in the nearfuture) and an incoming mea­stm"ng signal (from the same object) should illteifere with each other.

[328J "Subjective objectivity." Found. Sci. In press.The scandal ofn microscopically determined relativity is pinpointed. [Joint work withChico Doria and Bob Rosen}

[329] "The fish behind the curtain" [in German]. In Zettel's Kasten O. Zimmerand H. "Wilham, eds.). In press.Fisblllg in the dark may be legitimate.

[330] "Chaos and Lampsacus" [in German]. In The Urbanization o[Europe [inGerman] (E. Seissle, D. Steiner and C. Obereder, eds.), Vienna. Iu press.The hometown-ofma1lkind project confirms architecture as a humanistic discipline.

[331] HSecond causation: assignment conditions." In Causality} Self-Organiza­tion and Computability, ZIF Conference Bielefeld 1996 (A. MUller and K.Mainzer, eds.). In pms; also in Endophysics [see 298], 161-170.

The world ofcausal effects is determined, not only by the "laws" and the "initial condi­tions" discovered by Newto1l, but also by "assignment conditions." They represent a major

73

74 O.E.RO$SLER

third activity ofnature. This activity is independent of the workings of the universe assuch but is IIcveJtheless milch more pOWC1f/fllllld incisive. It is the l'u1orld-dctcrmillingactivity" as opposed to the mere "universe-detenJ1ining activities" a/the past. The all­important question which poses itselfis: Can the third activity be tampered with oswell?Note that the second activity (determining tbe initinl conditiom) can - as far as We cantell- indeed be influenced by ''participatory'' macroscopic inhabitants ofthe universe.

[332] with P. I~'eibel', "M2cro and micro relativity." International Microcos­mos/Macrocosmos Conference, Nlchen, Sept. 2-3, 1998 (P. C. Bosetti,ed.), Leipzig: Teubner. In prers.Two new physical e>,:periments are proposed: the original Ho!Jis-jJotor-expenment, butextended to be pelfor-med at a distance, and flll attempted symplectic (me'"g)'-conservjng)coupling between flll fl11ijicial reversible lower-level universe on the one hand and ourown universe on the other. Both reflect the media-theoretic ('principle of the double ac­cess. "

[333] "Chaos: bridge between the two cultures." In Chaos/Control/Complexity,ZIF Conference Bielefeld 1998 (D. Buchwald and H. Beressem, eds.).In press.Chaos as a dynamic phenomenon is i1mmme to the distinction betwet1lmind and mattu:Hence it represents a bridge between the humanities and the sciences in the spirit ofC. P.Snow. It is aVet) old discipline. EVe1I feminist sciencejoins in since cbaos isfemale accord­ing to 1Jumy myths [see 356],

[334] ,vith A. P. Schmidt' and P. I~Teibel', "The interface concept in the his­tory of physics." In Beyond Art (p. 'Neibel and H. Stoltzner, eds.). Inpress.A unijied account ofthe conceptual breakthroughs achieved by the three ((meditative pbysi­cists" (Archimedes, Boscovicb, Everett) is attempted. A new proposal is also made to cir­cumvent tbe ((cQ1l11teifactuality" ofworld-cbange (and time-change) experiments: A mes­sage can, perhaps, be encoded i11to one of the fundamental constants ofpbysics (to modifyan analogous matbematical idea ofCarl Sagan). The retrieval ofsucb a message wouldnot be subject to a micro censorship, according to the classical endophysical e.·,,;tensi011 ofEverett's theory.

[335] ,vith A. P. Schmidt', "Knowledge contra poverty: on the evolution ofworld-wealth" [in German]. Telepolis, xxx.A momentarily open time window to saftguard the future oftbe planet'syouthful major­ity if described. M. Gandhi, M. HolUS and M. Hometown (1'vI for medium) are brougbttogetber.

[336] with S. Fischer', A. l'Veiler' and D. Frohlich" "Kleiner-Attractor in apiecewise-linear C' system." Z, Natmforsch. 54 a, 268-269.A piecewise-linear 3-variable system with a single, letter-Vshaped, 1lOnlinean'ty produc­ing inverted-spiral cbaos is described.

PUBLICATIONS / 1999

[337] "Remarks on heavy-data research" [in German]. In Virtual Space ExpIM'­en [Experimente im DatenraumJ (Gabriele Grammelsberger and 1vlichaelKlein, eds.), pp. 55-57. Frankfurt/Main: INM.

How beavy is vir-wall Compare [320].

[338J with A. P. Schmidt!, "Knowledge against poverty: on the evolution ofthe global wealth" [in German]. Telepolis, 7 February.

Sbort outline.

[339] "The indestructibility of consciousness" [in German]. In beureka.' DasFVissensmagazin i1l1 Falter (Klaus Taschwer and Oliver Hochadel, ed.) 3,9. Falter (Stadtzeitllng Wien), no. 25.

Claim tbat consciousness is 110t an implication ofpbysics. Tbis would make it potentiallyindestructible.

[340J "Energy-nonconservation in physics?" Cbaos, Solitons & Fractals 10, 159­162.

An 1mfillisbed potential explanation ofcosmological redsbift in terms oftbe equivalenceprinciple.

[341] "Medium mind: if the mind is a medium, the world contains a counter­medium as a rut." InE1I1"opean Media Art Festival Osnabriick 1999, Con­gress 'Media Minds' (Hermann N6ring, Alfred Rotert and RalfSausmikat,eds.), pp. 266-268. Osnabrock: European Media Art Festaval (Stein­bacher Druck).

C011ScioUS1less tbeory and endo science, juxtaposed.

[342J with P. \"leibel' and C. Pichier), "Interface technology: the next stage ofdevelopment" [in German). Del' Stand01"d (Vienna), 13 March.

Does endophysics lead to a ''1vhole-wor/d-cbange tecbnology"?

[343] with E. Ellwart' and M. Hantke" "Time is a projection" (Part 1) [inGerman]. In Tagblatt Bistro, 12 June ('The Year 2000: Turn of an era?Philosophy') [www.cityinfonetz.de/tagblattlbiso·012000/philosophie/philo12 .honIJ.

[344] with E. Ellwart' and M. Hantke" "The eternal life" (part 2) [in Ger­manJ. In Tagblatt Bist>·o, 14 June ('The Year 2000: Turn of an era? Phi­losophy') [www.cityinfonetz.de/tagblattlbistro/2000/philosophie/philo­14.honl].

A two-part interview 011 time-control.

75

76 O.E. ROSSLER

[345J "Endophysics: physics from ,,~thin." In A,'s Electronica: Facing tbe Fu­ture: A Survey ofTwo DeCildes (Timothy Druckrey, ed.), pp. 244-248. Cam­bridge, Mass.: MIT Press.

A condensed versiOll1vitb a new band-drawn pictm'e ofcontributions to the ars-e/ectronimconftrence on endopbysies 1992.

[346] "Chaos and indistinguishability." In 1memational Worksbop 011 NonlinearDynamics alld Complex Systems, ·Minsk, Sept 7-1 0, 1999 (\c A. Gaisionokand V A. Samuilov, orgs.). Abstracts booklet.

Update on the mathematical problem of IIqunsiperiodization of chaos" - in two spacedimensions. Chaos disappears Ifa gas ofchaotically interacting, hard Sinai or soft KAM,billiards is made tip from pafeelly equal particles. The solution of the simplest fully 2-Dcase oftwo particles is still open.

[347] "The challenge of the 3 interfaces" [in German]. In in vitro landscape:Grundlagen zur Arcbitekturgelletik, 1 (Christiane Paul and Jorg Leeser,eds.), edition weissenhofgalerie, pp. 108-113. Koln: Verlag der Buch­handlung Walther Konig.

Three lelematic teelm%gier (based on the inwface in nonclassicalphysics, the intt1fnce ininterpersonal interaction and the inttlface of the hometown of the future in the sense ofF/usser) nre juxtaposed.

[348] K Svozil andM. S. EI Nascbie (eds.), Complexities. Special issue of Cbaos,Solitous & Fractals 10, no. 6 Oune), dedicated to O.E.R.

Editonal by Karl Svozil.

[349] with P. Bosetti', "Do there exist artificial brains?" [in German] Wecbsel­T+'irkuug 21 (no. 97), 60-61 OunelJuly).

The equation fOr (J brain is "technologically sweet."

[350] "Chaos and Interface, Inc.: the technology of the effective forcing func­tion" (Speciallectnre). In 5tb Experimental Chaos Conference, Orlando,Florida,June 28-July 1,1999 (M. Ding, W. L. Ditto, A. Osborne, L. M.Peccora and M. L. Spano, orgs.), Abstract Booklet, p. 57. O~TR Publi­cations, Orlando, Florida.

Did Hugh Everett, inventor of the many-'worlds interpretation ofquantum mechanics,already embark all tbe logically implied program of "world cbunge technologf'? An ap­peal fOr the de-classification ofhis work.

[351J with A. P. Schmidt' and C. Eigner" "'In the knowledge economy, thismental bent of nonopenness is outright dangerous': an E-mail discourse"[in German]. Texte zum Tbema, no. 32 (30 Augnst).

Friendliness pays - a 2-sided interview.

PUBLICATIONS 11999-2000

[352] ,,~th A. P. Schmidt', "Y2K: nightmare or opportunity? How to make awin-win situation out of a dangerous onen (in German}. Ielepolis, 7 Sep­tember.

An anticipated sigb ofrelief

[353] with A. P. Schmidt' and C. Eigner', "'He or she who really wants to dealwith knowledge problems has to try and understand complex problems':an e-mail discourse" (in German]. 7Cxtezum Thema, no. 33 (28 Septem­ber).

Complexity and tbe lIPyramid" (knowledge at any desired resolution) in LampmClls.

[354J "Darkness intensified: existence of a nonlinear threshold in redshift­induced dimming." Z. Natlllforsch. 54 a, 453-454.

A COll1lterargll11lent to tbe accepted "accelerated-expansion intelpretation" of tbe spec­Meldar supe1710vae data of1998: dimming is proportional to (1 + z)2, so that it acceler­ates beyond unit redshift.

2000

[355] with A. P. Schmidt', Medium o[Knowledge: The Human Rightfor Informo­tion [Dos Medium des Hlissens: Das MenscIJenrecht aufInfonl1ation]. Bern:Haupt Verlag, xxi-189pp.

Aledia theory, smiling tbeory and management theory can be combined imo n new vola­tile mixture.

[356] "Chaos: bridge between two cultures." AlIIerikastudienlAmerican Stud­ies: A QUa11erly 45 (no. 1),101-104.

Compare [333J.

[357] "Chaos/control." In Complexity: A Talk on CD-Rom (H. Beressem, ed.).University of Cologne, English Seminar, August 2000.

Live talk with pictures em the dream ofa JYntbesis.

[358] with R. Rossler', "The lion and the princess - or how an artificial brainchanges the attractivity oflocations through simulated encounters" [ab­stract]. Biophys. J. 78, 253A.

Popper'sfamous ULet)'our ideas diefor you" is j1lCorporated huo the design ofan artificialbrain.

[359] mth G. C. Hartmann!, G. Radons' and H. H. Diebner', "Staircase ba­ker's map generates flaring-type time series." Discrete Dynamics in Na­ture and Society 5,107-120.

77

O.E. ROSSLER

Poillend cycles enll unexpectedly be genemted in a 2-D m-eft-preservillg map.So tbey canbe studied empirically for tbe first time.

[360] "Noble simplicity, silent greatness: is Anaxagoras not to be loved?" [EdleEinfalt, stille Gr05e - Ka,m man Anaxagoras Heben?]. In Etenlity Is aPlaying Child on tbe Tbrone: Contributions by Scholars andA17ists concerningthe Continuing Presence ofPre-SoC1'atic Thought [Die E,vigkeit irt ein spielendesKindaufdem Thron: Beihiige von FVisse11schaftlenl und Kunst/ern zur Gegen­wart des vorsokratischen Deukeus] , including 69 original graphics (UlyssesBelz, ed.), pp. 4-10. Buchbinderei A. Adler Leipzig. Bonn-Leipzig: 111111.

Homage paid to the inventor ofchaos in the modern mathematical sense, Anaxagoras ofancient G,'eece. A l'espome to Ulysses Belz's art.

[361] with R. Stettler', "Cracks in time" [Risse in der Zeit]. Klmrt-Bulletin2000 (no. 3), 16-19 (1I1arch).

The mdo view in art and science. Illustrated by 2 photogmphs of "Hollow World" byDorothee Golz.

[362] (CEinstein's Ailrau vision" [Einsteins Aarauer Vision]. InA17 Space AarauImmerspace Outerspace (Kunst Raum Am'au: bmenrau1Jt Aussenraum)(Tschokke Kunsttaum Aarau and Jeannette Fischer, eds.), pp.I91-194.Aarau: Verlag Vittorio de Angelis (Staffel Druck).

'~chilks, the fastest-rllnning human being, is passing by at the very momentyOtll'e1easea sphen'callight wave with aflash. Is he, while l"'Ulming on, also surrounded by an e,,,'­panding sphericnlligbt bubble owing to A1axwelJ's universal constont c1" A c011J1Jleutaryon tbe musings ofa 16-year old pupil, delivered in the original surroundings oftbe refec­tory of the I~argauer KnntollSscbule" in Aarau, Switzerland,

[363J with W. Ratjen!, "Hope and disappointment in a simulated conscious­ness" [in German]. In Computatiol1allntelligence im industriel/en Einsatz,VDI-Conference Baden-Baden, 11-12 May 2000 (S. Hafner, H. Kiendl,R. Kruse, H.-P. Schwefel and E. Sapozhnikova, eds.). Diisseldorf: VDI­Bericbte 1526, 191-198.

Blueprintfor lin artificial braill 'lvbicb, wben implemeuted in bardware, cannot be deuiedtbe operational attributes ofconsciousness.

[364J "Is benevolence compatible with intelligence? On the theory of the hu­mane feeling" [in German). In Tbe Theme Park of tbe Expo 2000 [Del'Themenpark del' Expo 2000J, vo!. I: Plallet of Visiolls, Knowledge, Illfor­mation, Communication (Martin Roth and Sabine Siiss, eds.), pp. 157­163. 'Wien: Springer-Verlag 2000.

A scientific tbeory ofbenevoleuce is arguably a prerequisite for our planetary and galacticsurvival. Secondly, An/mr C. Clarke's prediction oflife on Jupiter is supported: bot COl'e,

PUBLICATIONS /2000-01

cold outsideJvisible huge convection rollsJl1011-WaW] medium: A bornm-based biocbem­iSh)' (witb B-N-B-l\L mtbcr than C-C-bnckboncs) is predictable,

[365] "Inter-face - Smile of happinessIsmile of friendliness confusion: the ori­gin of heaven on earth." In Today Is Tomonow: On the Future ofExperienceand Constructivism [Heute ist Morgen: Vber die ZlIkllnft von Elfalmmg undKonstmktion] (Michael Erlhoff, Hans Ulrich Reck, 'Venzel Jacob andJutta Frings, eds.), pp. 50-53. Bonn: Kunst- und Ausstellungshalle derBundesrepublik Deutschland.

Tbe paper describes a two-piece imtolllltilm exhibited in the Bundeskunsthalle: Two large,stylized faces are looking at eacb other, one smiling, one laughing (actually it is the sameface twice - once rotated by 180 degtus). The viewer can pass through in between tbe two,with aside panel pointing out the risks and chances ofthe "hu1nane miSIJnderstonding'l ofreceived and shown benevolence, wbich is no misunderstanding at all.

[366J "Chaos, hyperchaos and the double-perspective." In The Chaos Avant­Garde: Memories of the Early Days of Chaos Theory (R. Abraham and Y.Ueda, eds.); pp. 209-219. Singapore: World Scientific.

A briskjoumey accompanied by explanatoryjigufes, through: (1) Singular-perturbationchaos, (2) singular-perturbation hyperchaos, and (3) nowhere-differentiable at!ractors(as almost everywhere-empty, but mvertbeless maxi1l1allyfat sets). Also, Edward Lm-enzsbutterfly is contrasted to the "Schri/dinger butteifty. J,

[367] with D. Frohlich', N. Kleiner' and J. Parisi', "Does the moon pull alaNewton or ala Einstein or in a third way?" Z. Naturforsch. 55 a, 981­982.

A 313-yeor old problem- how fnst is the gravity ofthe moon reaching earth? - is shownto be experimentally accessible. A hundred (or more) identiCfl/Jjust I-cubic-meter largesetups (a I-m pendulum 'with a hair pointer thot is vibrntioll- and convection illsulatedand monitored by a computerized microscope) are expected to be sensitive t11ough. Theexistence ofgravitational waves can be ruled out in case ofa positive outcome.

2001

[368] with W. Kriese" Encouraging La711psams: Tbe Jutemet as a Chance for aMulticlIltlwal Society ofMinorities (G. E. Lasker, ed.). Rottenburg: Edi­tion Global, Mauer Verlag, 2001, 62pp.

The "book of the year" of1998 [307], tramlated imo English.

[369] "Anthropogenesis in the Internet" [Die Menschwerdung im Internet].In Cyberbypes: 0pP0111mities and Pitfalls of the Jutemet [Cyberbypes: Mog­ficMeiten und Grenzen des Jntemet] (RudolfMaresch and Florian Rotzer(eds.), pp. 249-264. Frankfurt/Main: Suhrkamp.

79

80 a.E. ROSSLER

Is being humane a "lethalfactor" in the technical biological sense? Literallyyes, in reality/l0. For ((Ie pbinol1Jcne !mmain" bas the cosmic scale envisionedfor it,[olllY/ving GiordanoBruno by physicist-biologist lii/hard de Chardin. The perhaps most dangerous experi­ment ofhirtQ1Y (to tum an animal into a person) is proposed as a "media event" in theinterest ofthe planet's endallgeredmajority a/youngpersom. A saintly caretaker is meded.

[370] with R. Rossler2, 11l\1irror competence implies person competence" [ab­stract]. Biophys. J. 80, 171a.

The importance ofmirror-competence is poimed alit. A backdrop is provided by the cur­reJlt world-1vide stem cell debate on the one hand and the recently discovered minorcompete1lce ofthe magpie all the other.

[371] "The Gulliver effect." In Sciences oftbe Juratace, Proceedings ofan Inter­national Symposium, Center for Art and Media, Karlsruhe, May 18-21,2000, held in honor ofO.E.R.'s 60th birthday (H. H. Diebner, T. Druck­rey and P. Weibel, eds.), pp. 1-5. Tiibingen: Genista Verlag, ,~ii-330pp.(+ CD).

The finding offl vertical size increase, downrtairs in a gravitntiollaJ field, is stUl t1lig­matico It could profit from the help ofcomputer-game affidonados.

[372] with]. Parisi', "Superluminality: an implication ofspecial relati,~ty?" InSciences of tbe Inte1face, Proceedings of an International Symposium,Center for Art and Media, Karlsruhe, May 18-21, 2000, held in honorof O.E.R.'s 60th birthday (H. H. Diebner, T. Druckrey and P. \Veibel,eds.), pp. 164-168. Tiibingen: Genista Verlag.

A three-dimensional spacetime diagram is shown whicb, ifC01Tect, implies a violation ofEinstein causality.

[373] with A. P. Schmidt', "The evolution of knowledge: pledging the humanright for information" [in German] . .WecbselWirkllng 23 (no. 107),48­53 OanuarylFebruary).

A pledge.

[374] with P. Weibel', "Endophysics or our rainbow world." In Olafur Eliasson:Surroundings surTolmded - Essays on Space and Science (peter Weibel, ed.),pp. 504-513. Karlsruhe: Neue Galerie, Graz and ZKM (Center for Artand Media); also Cambridge, Mass.: MIT Press, 2002.

The observer-centered rainbow, put in perspective.

[375] withP. \VeibeI', "Post-quantumrelati,~ty." Chaos, Solitons & Fractals 12,1573-1576.

Objects downstairs are !tuger - a/so according to quantu1J11JJechanics.

PUBLICATIONS/2001

[376J with A. P. Schmidt', "The smell of evil or war as humaneness surren­dered" [in German]. WecbsclWirkllllg 23 (no. 109),44-51 (May/June).

The theory ofcruelty bas practical implications.

[377] "Avoice on the stem cell debate: there exists a possibility-in-principle"[in German]. Scbwiibiscbes Tagblatt 57, 23 July, p. 26.

Meat-fating, abortion and infanticide are one and tbe same problem- in case apotentialperson if the victim. A pledge for the rigbts ofperson-competent animals.

[378J "Reflections on the e''Perience of time in animals" [in German]. Wecbsel­Wirkllng 23 (no. 110),30-34 Ouly/August).

Bats have an updated pseudo-simulumeouspicture oftbeir enviroll1J1e1lt, generated am:'"LJ)once every millisecond by their brains, - even though the neurons take one millisecondeach to l11-e. A tecJmological challenge.

[379] with A P. Schmidt', "The fear of the uncertain: will America drop anatom bomb on Afghanistan?" [in German]. Telepolis, 17 September.

Harking back to an official newspaper announcement ofSeptember 18, 1998.

[380] with J. Parisi', "On board of a Sarfarti telegraph back into the pas!?"[Miteinem Sarfarti-Telegraphen zuriickin die Vergangenhei!?]. Einblicke:Forsc1JUllgsmagazin del' Cad-von-Ossietzky-Universitiit 15 (no. 34), 12-13.

Nicholas Gisin}famous lI-km Bell-experiment in Geneva can,justpossibly, be 1J1odifiedin such a way as to be tflnled into an Einstein telegraph.

[381] with A P. Schmidt', "';Vorld economy in crisis despite war? A globalMarshall plan as a way out of the crisis" Un German). Telepolis, 28 Sep­tember.A voice from Switzerland...

[382] with A P. Schmidt', "Asurvival plan for the world" [in German). Telepolis,5 November.

.. .continued.

[383J "Dripping faucet and the foundation of the 'Erwin-Teufel-Institute forGerontoendocrinology' of the University of Tubingen," [Tropfender';Vasserhahn und die Griindnng des 'Ef\vin-Teufel-Instituts fur Geronto­Endokrinologie der UniversitiitTubingen, Berghof-Halblech, Falkenstr.12']. In Top Tlmna (RalfSchnabel, ed.). Karlsruhe: TV-Movie BTv; Sep­tember 9.

Does chaos theory facilitate standing-up against human-rights violations?

81

82 0 • E . R 0 S S L E R

[384] with S. Zielinski' and R. Rossler', "c, h, angle L: ifwe could change c andb, we could change the past and the future like angels." In Perspect(valPmpective (M. Peternak, N. Eross, A. Eisenstein and L. Beke, eds.), pp.419-428. Budapest: Foundation MucsarnoklKunsthalle.Can the two fundamental constants cand h be manipulated counte1factually?

In press

[385J with D. lung', "World without gravity: ten theses in honor of HansvVeil." Proceedings.un onelincn.

[386] "Preface to a book on the question ofall questions." For Aron Goudsmit.

Comment on a new mfltbcmatica/-pbysics game in tbe spirit ofGb"del.

[387J with D. Frohlich', N. Kleiner', M. Pfaff"]. Argyris' and M. S. EINa­schie6, JCOn the possibility of a new relativistic contraction la\\'." Cbaos,Solitons & Fmctals.On the possibility ofn transversal size change in relativity.

[388] "Sustainability of humanity." Proc.lntersymp. 2001 (G. E. Lasker and H.Hiwaki, eds.).The future and the pastjoin forces If(m argument in favor ofGermany offering a sur­vival guarantee to the youth of the planet is sound. It reads: The one million childrenmurdered in the holocaust ,"aise their voice agaimta l'second holocaust" on the youth oftheThird 'World. EVe1l in the event ofglobal terroriS1ll,

[389] with H. Kuypers', "Matterwave-Doppler effect: an implication of theold Planck formula E ~ hu" [in German]. WechselWi,.ktmg.

A corollary to matter-wave inteiferometry is proposed: matter-wave Doppler shifting.

Submitted

[390J with]. Parisi', "Slauted emission" enables full light speed dowustairs inequivalence principle."The accepted speed change in c, downstairs in a gravitational field, is shown to be 11On­l1uwdatory, A counter-example exists: obliquely upward-slanted (but stillnon-approach­illy ligbt rays.

[391] "A reality, independent of the universe" [in Germau].

A comistem interpretation ofDescartes' thinking.

PUBLICATIONS /2002-

[392] "Nonlinear dynamical systems and cognition." 21pp.

An attempt to b1'idge the gap between bmin equation and dynamics,

[393] with H. H. Diebner1, "The heart of the cosmos: deterministic time­dependent entropy to monitor the evolution of microscopically simu­lated far-from-equilibrium systems. ll

An explanation of the new D-ftmction, which 1'eplaces Boltzmannj old H-fimctioll as anotjust qualitative but quantitative descriptor ofevolutionary processes.

[394] with R. Stettler2 and:F. Baetcke3I Fro11tier Com1Jtzmicatioll: Humans, fiVhales

and Electronic Networks [in German]. 51pp.

The theory of the smile and artificial brains are put together.

[395J with F. Galeczki' and M. S. El NascmeJ, "E equal 11Icvl2: a first-ordertwin to the famous E-equal-mc-square law."

Einstein j second 1'elativity paper of1905 (with the famous f017J1llla) is shown to imply arelatedfurther result.

[396J with M. Conrad', "Interface theory and almost solipsism."

A new phenQ11JC1/on, "relativistic dissociation, II may exist.

[397] "Nonlinear dynamics and cosmology: two approaches to the Hubblelaw."

On the phenomenological Hubble law and the chances ofa new explanation in the spin't ofMandelbrot.

[398] "Nonuniqueness in spacetime: a surprising implication of the equiva­lence principle."

The speed oflight downstairs is unchanged lftbe light is sent up in a slantedfashion thatis nevertheless parallel to the upper level. Therefore, also two balls in free upward 11l-Otion,one bigher up, tbe other freshly released from the ground, remain parallel to the upperlevelfor a wbile. Moreovet; their distance remaim identical to the distance ofthe g-round.Tbis is a new pradox.

[399] Descartes' Tim"'l: T70n de,. unendlicben Macbt des Auflenstebens. Audio-CD.K6ln: suppose, 2002, 55 min.

4

MiscellaneaUnve1'jiffentlicbtes*

LECTURE NOTES, MANUSCRIPTS

1966 "Theoretical Biology" [Theoretische Biologie). Lecture held at the .MaxPlanck Institute fur Verhaltensphysiologie, Seewiesen 1966 (quoted inK. Lorenz, Behind the MitTor, London: .Methuen, 1977, p. 256 [Die Riick­seite des Spiegels: Versud) einerNaturgeschichteme11scblicben Erkenllens, i\1iin­chen: Piper, 1973, p. 334]).

Tbe principle ofself-inhibition ofenergy dissipation jar[ro111 equilibrium is introducedwitb examples, as an explanation ofthe origin oflift, not ouly on emth. Necessfl1)' evolu­tionary properties afbrains can a/so be predicted.

1967 "General trans-atomic evolution theory" [Allgemeine meta-atomare Evo­lutionstheorie], 2pp., 41'efs.

Outline of the inm'nsic propensity offar-from-equilibrium systems to firm a "vicious. drcle." It includes the tendency to spontaneously open up new (/Jllnmls ofdissipation in anautocatalytic fashion - liS a first-principles e.'tplanatioll ofchemical and biologiCflI evolu­tion. Juxtaposed to.tbis law is the imigbt, triggered by Otto Ko'hler's 1954 paper "Thesmile of the infant," tbat human persons both have 'tal/en out of the game" and baveeffectively IJumped ahead" to the asymptotic goal.

1969 "Contributions to the theory ofspontaneously evolving systems," part I:"Asimple system class)' [Beitrage zur Theorie spontanevolutiver Systeme,I: Eine einfache Systemklasse], 55pp., 68 refs., 10 figs.

A formal attempt to deduce the property ofevolution in a class ofcybenzetic dynamicalsystems of1JOmlegative nonlinear type.

1971. "tRNAlife."

Tbe two "universal libraries" ofl-D text strings and 3-D shapes that are today embodied

.... Unpublished Papers.

86 a.E. ROSSLER

in DNA find protein, respectively, ((m be realized with a single substance class, RNA,directly, albeit witb n reduced 3-D rep£11oire. tM'A thereftre qualifies as fl precursor toprotein in pre-biological evolution,

1971b with D. Hoffrmnill, (fA chemical universal circuit", 12pp., 9 refs.

A 2-variable switrbing network with both types of oscillatolY behavior (nearly-linear;relaxation-type) that were familiar at the time.

1972 "Existence of a building-block principle in tbe design of complicatedreaction systems" [Existenz eines Bausteinprinzips beim Entwurf vonkomplizierten Reaktionssystemen]. Unpub!. Habilitation Thesis, Uni­versity of Tubingen 1973, 119pp.

A sy11tbetic approach to tbe design ofsingular-perturbation-type chemical automata findhybrid (so-called 1<,-elaxatioll Jj systems.

1973 "An equation for a brain," 15 pp., 25 refs.

Details on equation (13) of"Adequate locomotion strategies" [15J, its motivation and itsmeaning.

1975 "Chaos in simple reaction systems" [abstract].

Introducing singular-perturbation cbaos.

1976 "The Tale of tbe \'Vbale" (Science fiction story), 12pp.

The society ofsperm whales may contain messages over time tbat are implanted in thejoint culture-like behavior, but are decodable only by the rare i71dividunlswho by a quirkoffate enter a person-generating interaction witb fl parmer. While they contribute to theinvisible second (real) culture, they are likely to same day be caught in "sinning" againstthe autistic collective first culture for reasons ofpersonal truthfulness to their pn.rtner,eliciti1zg a deadly mobbing reaction from the part of their first-culture animal society.

1981 "Design for Chaos: The World of Nonperiodic Oscillations" (book),145pp.

Au a'ttempt to show how to design many types ofchaotic systems by e:t-ploring differentst1"ategies. A sizable ml1Jzber of computer-generated pictures of in part nw attractors.were finished but many more still 1mfinished when the publisher's deadline approachedand went by.

1986 "A classical explanation of quantum mechanics: the observer revisited/'18pp., 14 refs.

A work-in-progress 1'eport,

1989 with D. Hoffmann, "Pauli exclusion in classical ortho-Helium."

A generalization of the "cross mp" of topology is sbown to explain the existence .of two

MISCELLANEA

sillgle-particle Pauli cells (one inside, one outside) in a classiml 3-particle system tbatcolltail/S an injinitely massive attracting aliter and (-£l10 indistinguisbable ollter pmticles- If 1'otatiol1 symmetry is assumed. This is a first step 011 the ~vay towards genuinely 2­and 3-D gases made up from indistf1zguisbable classical particles.

1990 with G. Kampis, "Complexity reduction in coupled optimizers ('anti­chaos')," 4pp.,17 refs.

UAnticbaos" is afitting name when the unavoidable illteractional cbaos ofordinary bio­logical or artificial autonomous motivational systems suddenly gives way to inwpersonalreliability and trustfulness.

1991 with G.l\1ayer-Kress, I(How isotropic is Planck's constant? ," 5pp., 5 refs.

An empiriCfllly decidable question tbat may be of interest under extremal astropbysim/conditions.

1992 "Rationalism in science, philosophy and theology: an attempted system­atics in hommage to Alexandre Ganoczy" [in German], 3pp.

Resp01lSe toa discussion witb tbe author ofuChaos, Cbajand Beliefin Creation."

2000a "Redshifted objects: lighter and larger," 4pp., 10 refs.

Possible implications ofa size increase downstairs in a gravitationalfield.

2000b "Nutcracker and Mouse King: Or what happens when you start com­municating with the characters of a slowed-down video? An upliftingreport for the turn of the year" [in German], 2pp.

A11 attempt to engage youngpeople in tbe quest to understand the implications 0fco1Jtmu­nicating with a slowed-down imeradion partner /iving in a slowed-d01im environment.

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