8/19/2019 Translate Silabus Amran.docx

1/2

MFF 5053 Non Linear Physics I/3

The dynamics of one-dimensional systems, fixed point, stable and unstable, analysis of linear 

stability, oscillating system, potential. Applications on population growth and chemical reactions.

Various bifurcation: saddle point, trans-critical, super-critical and sub-critical. Dimensional

analysis, scaling of quantities. Applications on the threshold of the laser, logistics, model of the

spread of disease, the composition of the fluid and magnetic models. Vector field on the circle,uniform and non-uniform oscillator, synchroniation. Applications on strongly damped

 pendulum, fireflies, !osephson "unction superconductor. Two-dimensional linear systems,

classification of linear systems. Applications on the dynamics of a lo#e-hate and $%& circuits.

%imit &ycle, #an der 'ol oscillator, wea(ly nonlinear oscillator. )upercritical and subcritical

*opf bifurcation. Applications on the +elouso#-habotins(y chemical reaction, the hysteresis of 

forced pendulum and !osephson "unction. &haos, %orent equations, attractor, %iapuno#

exponents, fractal.

Textbook :

. )trogat, ). *., /, 0onlinear Dynamics and &haos with Applications to 'hysics, +iology,

&hemistry and 1ngineering, 'erseus +oo(s.2. 3.&. &ross and '.&. *ohenberg, 4, 'attern 5ormation 6utside of 1quilibrium, $e#iew of 3odern

'hysics Vol. 78 0o. 4. page. 98-2.

MFF 5722 Semicon!ctor Physics II/2

nteratomic bonding, crystal structure, the theory of energy bands in solids ;the principles of quantum

mechanics of solids, or(.

2 0eamen, D.A., 2@@4: Semiconductor physics and devices: basic principles, 3c?raw-*ill &ompanies,

nc., 0ew >or(.

MFF 5072 "rti#icia$ Inte$$i%ence II/2

Definition of artificial intelligence, application areas of artificial intelligence (nowledge representation

;expression of logic, the logic of proportional list and tree structures, frames and scripts, rules of 

 production=, the technique of trac(ing ;trac(ing techniques of trial and error, systematically trac(ingtechniques, trac(ing techniques of #ertical and horiontal, heuristic trac(ing techniques=, a programming

language prologue, expert systems and applications, artificial neural networ(s ;neural networ( models:

*opfield, propagation, or(.

8/19/2019 Translate Silabus Amran.docx

2/2

2