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PHYSICA D Nonlinear Phenomena Honorary Editors: H. FLASCHKA, Department of Mathematics, University of Arizona, 617 N. Santa Rita, Tucson, AZ 85721, USA C.K.R.T. JONES, Department of Mathematics, Phillips Hall, CB #3250, University of North Carolina, Chapel Hill, NC 27599-3250, USA A.C. NEWELL, Department of Mathematics, University of Arizona, 617 N. Santa Rita, Tucson, AZ 85721, USA Fields of interest: Convection patterns, Nonlinear optics, Turbulence Editors-in-Chief: Fields of interest: J. LEGA (Distributing Editor), Department of Mathematics, 617 N. Santa Rita, P.O. Box 210089, Tucson, AZ 85721, USA. E-mail: [email protected]; fax: +1-520 621 8322 Nonlinear dynamics (pattern formation, envelope equations, weak turbulence) and applications to hydrodynamics, optics and biology T. SAUER (Special Issues Editor), Department of Mathematics, George Mason University, Fairfax, VA 22030, USA. E-mail: [email protected]; fax: +1-703 993 1491 Dynamical systems and computational methods, Time series analysis Editors: Fields of interest: M. BRENNER, Pierce Hall, Room 313, 29 Oxford St, Cambridge, MA 02138, USA. E-mail: [email protected], fax: +1-617 496 0601 Fluids J. BRONSKI, Department of Mathematics, University of Illinois–Champaign, 1409 W. Green St, Urbana, IL 61801, USA. E-mail: [email protected]; fax: +1-217 333 9576 Nonlinear dispersive waves and their applications, Stability and spectral problems, Integrable sys- tems S. COOMBES, School of Mathematical Sciences, Pope Building, University of Nottingham, University Park, Nottingham NG7 2RD, UK. E-mail: [email protected]; fax: +44-115 951 4951 Neural networks, Pattern formation J.H.P. DAWES, Dept. of Mathematical Sciences, University of Bath, The Avenue, Claverton Down, Bath, BA2 7AY, UK. E-mail: J.H[email protected]; tel: +44-1225-386223; fax: +44-1225-386492 Dissipative systems, Bifurcation theory, Symmet- ric dynamics, Pattern formation, Fluid mechanics H. DIJKSTRA, Institute of Marine and Atmospheric Research, Department of Physics and Astronomy, Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands. E-mail: [email protected]; fax: +31-30 245 3163 Dynamical systems theory (in particular: bifurca- tion theory and computational aspects), Geophys- ical fluid dynamics J. GARNIER, Laboratoire de Probabilités et Modeles Aleatoires & Laboratoire Jacques-Louis Lions, UFR Mathematiques, case 7012, Université Paris VII, 2 place Jussieu, 75251 Paris cedex 5, France. E-mail: [email protected]; fax: +33-1 44 27 7650 Waves in nonlinear and/or random media K. JOSIĆ, Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA. URL: http://math.uh.edu/josic; tel: +1-713 446 5143; fax: +1-713 743 3505 Mathematical neuroscience, biological networks, applications of dynamical systems theory in biol- ogy H. KANTZ, Max Planck Institute (MPI) for the Physics of Complex Systems, Noethnitzer Str. 38, 01187, Desden, Germany. E-mail: [email protected] D. LOHSE, Physics of Fluids, Faculty of Applied Physics, University of Twente, P.O. Box 217, 7500 AE, Enschede, The Netherlands. E-mail: [email protected]; fax: +31-53 489 8068 Turbulence, Thermal convection, Bubbles, Two- phase flow, Granular matter, Microfluidics I. MELBOURNE, Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK. E-mail: [email protected]; tel: +44 (0)24 76150691 Dynamical systems methods in control theory, Fluid mechanics and mixing, Dynamics and con- trol of micro/nanoscale systems A.S. MIKHAILOV, Abteilung Physikalische Chemie, Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 4–6, Berlin D-14195, Germany. E-mail: [email protected]; fax: +49-30 8413 5106 Combustion theory and chemical kinetics, Com- plex physics, Dissipative systems and waves, Dy- namics of physiological and biochemical systems, Dynamics and control of micro- and nanoscale sys- tems, Extended systems with applications to bi- ology, Material science, Neuroscience, Oscillatory dynamics, Pattern formation P. MILLER, Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109- 1043, USA. E-mail: [email protected] Y. NISHIURA, Laboratory of Nonlinear Studies and Computation, Research Institute for Electronic Science, Hokkaido University, Sapporo 060-0812, Japan. E-mail: [email protected]; fax: +81-11 706 4966 Patterns and waves in dissipative systems V.M. PÉREZ GARCÍA, Edificio Politécnico, Universidad de Castilla-La Mancha, Avda. Camilo Jose Cela, 3, 13071 Ciudad Real, Spain. E-mail: [email protected]; tel: 902 204 100x3805 Nonlinear waves in quantum fluids and optical systems, Nonlinear phenomena in biology and medicine, Numerical methods for nonlinear wave problems A. PIKOVSKY, Department of Physics, University of Potsdam, PF 601553, Potsdam D-14415, Germany. E- mail: [email protected]; fax: +49-331 977 1767 Chaotic systems, maps, and flows; numerical methods, Statistical mechanics K. PROMISLOW, Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA. E- mail: [email protected]; fax: +1-517 432 1562 Nanoscale structure formation, Polymer–solvent interaction, Nonlinear optics, Nonlinear stability and pattern formation B. SANDSTEDE, Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02912, USA. E-mail: [email protected]; fax: +1 401 863-1355 Conservative and integrable systems, Dissipative systems and waves, Dynamical systems, Nonlinear optics, Non-linear waves and stability, Pattern formation G. STEPAN, Department of Applied Mathematics, Budapest University of Technology and Economics, Budapest H-1521, Hungary. E-mail: [email protected]; fax: +36-1 463 3471 Nonlinear dynamics, Time-delay systems, Analyt- ical mechanics R. TEMAM, Indiana University, Mathematics Department, Rawles Hall, 831 East Third St, Bloomington, IN 47405, USA. E-mail: [email protected] Fluid mechanics, Navier–Stokes equations, Dissi- pative dynamical systems (finite/infinite dimen- sional) E.S. TITI, University of California at Irvine, Dept. of Mathematics, Rowland Hall Building, Room 510C, CA 92697-3875, Irvine, California, USA. E-mail: [email protected] M. VERGASSOLA, Institut Pasteur, 28 rue du Dr. Roux, 75724 Paris Cedex 15, France. E-mail: [email protected]; fax: +33-1 45 68 87 86 Turbulence, Statistical mechanics T. WANNER, George Mason University, Dept. of Mathematical Sciences, 4400 University Drive, Fairfax, VA 22030, USA. E-mail: [email protected]; fax: +1 703 993-1472 Aims and scope Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques, and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrody- namics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disor- der; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.

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PHYSICA DNonlinear Phenomena

Honorary Editors:H. FLASCHKA,Department ofMathematics, University of Arizona, 617N. Santa Rita, Tucson, AZ 85721, USAC.K.R.T. JONES, Department of Mathematics, Phillips Hall, CB #3250, University of North Carolina, ChapelHill, NC 27599-3250, USAA.C. NEWELL,Department ofMathematics, University of Arizona, 617 N. Santa Rita, Tucson, AZ 85721, USA Fields of interest: Convection patterns, Nonlinear

optics, TurbulenceEditors-in-Chief: Fields of interest:J. LEGA (Distributing Editor), Department of Mathematics, 617 N. Santa Rita, P.O. Box 210089, Tucson, AZ85721, USA. E-mail: [email protected]; fax: +1-520 621 8322

Nonlinear dynamics (pattern formation, envelopeequations, weak turbulence) and applications tohydrodynamics, optics and biology

T. SAUER (Special Issues Editor), Department ofMathematics, GeorgeMason University, Fairfax, VA 22030,USA. E-mail: [email protected]; fax: +1-703 993 1491

Dynamical systems and computational methods,Time series analysis

Editors: Fields of interest:M. BRENNER, Pierce Hall, Room 313, 29 Oxford St, Cambridge, MA 02138, USA. E-mail:[email protected], fax: +1-617 496 0601

Fluids

J. BRONSKI, Department of Mathematics, University of Illinois–Champaign, 1409 W. Green St, Urbana, IL61801, USA. E-mail: [email protected]; fax: +1-217 333 9576

Nonlinear dispersivewaves and their applications,Stability and spectral problems, Integrable sys-tems

S. COOMBES, School of Mathematical Sciences, Pope Building, University of Nottingham, University Park,Nottingham NG7 2RD, UK. E-mail: [email protected]; fax: +44-115 951 4951

Neural networks, Pattern formation

J.H.P. DAWES, Dept. of Mathematical Sciences, University of Bath, The Avenue, Claverton Down, Bath, BA27AY, UK. E-mail: J.[email protected]; tel: +44-1225-386223; fax: +44-1225-386492

Dissipative systems, Bifurcation theory, Symmet-ric dynamics, Pattern formation, Fluid mechanics

H. DIJKSTRA, Institute of Marine and Atmospheric Research, Department of Physics and Astronomy,Utrecht University, Princetonplein 5, 3584 CC Utrecht, The Netherlands. E-mail: [email protected];fax: +31-30 245 3163

Dynamical systems theory (in particular: bifurca-tion theory and computational aspects), Geophys-ical fluid dynamics

J. GARNIER, Laboratoire de Probabilités et Modeles Aleatoires & Laboratoire Jacques-Louis Lions, UFRMathematiques, case 7012, Université Paris VII, 2 place Jussieu, 75251 Paris cedex 5, France. E-mail:[email protected]; fax: +33-1 44 27 7650

Waves in nonlinear and/or randommedia

K. JOSIĆ, Department of Mathematics, University of Houston, Houston, TX 77204-3008, USA. URL:http://math.uh.edu/∼josic; tel: +1-713 446 5143; fax: +1-713 743 3505

Mathematical neuroscience, biological networks,applications of dynamical systems theory in biol-ogy

H. KANTZ, Max Planck Institute (MPI) for the Physics of Complex Systems, Noethnitzer Str. 38, 01187,Desden, Germany. E-mail: [email protected]. LOHSE, Physics of Fluids, Faculty of Applied Physics, University of Twente, P.O. Box 217, 7500 AE,Enschede, The Netherlands. E-mail: [email protected]; fax: +31-53 489 8068

Turbulence, Thermal convection, Bubbles, Two-phase flow, Granular matter, Microfluidics

I. MELBOURNE, Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK. E-mail:[email protected]; tel: +44 (0)24 76150691

Dynamical systems methods in control theory,Fluid mechanics and mixing, Dynamics and con-trol of micro/nanoscale systems

A.S. MIKHAILOV, Abteilung Physikalische Chemie, Fritz-Haber-Institut der Max-Planck-Gesellschaft,Faradayweg 4–6, Berlin D-14195, Germany. E-mail: [email protected]; fax: +49-30 8413 5106

Combustion theory and chemical kinetics, Com-plex physics, Dissipative systems and waves, Dy-namics of physiological and biochemical systems,Dynamics and control ofmicro- andnanoscale sys-tems, Extended systems with applications to bi-ology, Material science, Neuroscience, Oscillatorydynamics, Pattern formation

P. MILLER, Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, MI 48109-1043, USA. E-mail: [email protected]. NISHIURA, Laboratory of Nonlinear Studies and Computation, Research Institute for Electronic Science,Hokkaido University, Sapporo 060-0812, Japan. E-mail: [email protected]; fax: +81-11 7064966

Patterns and waves in dissipative systems

V.M. PÉREZ GARCÍA, Edificio Politécnico, Universidad de Castilla-La Mancha, Avda. Camilo Jose Cela, 3,13071 Ciudad Real, Spain. E-mail: [email protected]; tel: 902 204 100x3805

Nonlinear waves in quantum fluids and opticalsystems, Nonlinear phenomena in biology andmedicine, Numerical methods for nonlinear waveproblems

A. PIKOVSKY, Department of Physics, University of Potsdam, PF 601553, Potsdam D-14415, Germany. E-mail: [email protected]; fax: +49-331 977 1767

Chaotic systems, maps, and flows; numericalmethods, Statistical mechanics

K. PROMISLOW, Department of Mathematics, Michigan State University, East Lansing, MI 48824, USA. E-mail: [email protected]; fax: +1-517 432 1562

Nanoscale structure formation, Polymer–solventinteraction, Nonlinear optics, Nonlinear stabilityand pattern formation

B. SANDSTEDE, Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI02912, USA. E-mail: [email protected]; fax: +1 401 863-1355

Conservative and integrable systems, Dissipativesystems andwaves, Dynamical systems, Nonlinearoptics, Non-linear waves and stability, Patternformation

G. STEPAN, Department of Applied Mathematics, Budapest University of Technology and Economics,Budapest H-1521, Hungary. E-mail: [email protected]; fax: +36-1 463 3471

Nonlinear dynamics, Time-delay systems, Analyt-ical mechanics

R. TEMAM, Indiana University, Mathematics Department, Rawles Hall, 831 East Third St, Bloomington, IN47405, USA. E-mail: [email protected]

Fluid mechanics, Navier–Stokes equations, Dissi-pative dynamical systems (finite/infinite dimen-sional)

E.S. TITI, University of California at Irvine, Dept. of Mathematics, Rowland Hall Building, Room 510C, CA92697-3875, Irvine, California, USA. E-mail: [email protected]. VERGASSOLA, Institut Pasteur, 28 rue du Dr. Roux, 75724 Paris Cedex 15, France. E-mail:[email protected]; fax: +33-1 45 68 87 86

Turbulence, Statistical mechanics

T. WANNER, George Mason University, Dept. of Mathematical Sciences, 4400 University Drive, Fairfax, VA22030, USA. E-mail: [email protected]; fax: +1 703 993-1472

Aims and scopePhysica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works,techniques, and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical,chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrody-namics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disor-der; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.