WS 2019 SS 2020
WS 2019
WS 2018 SS 2019
Department of Physics
open chemistry
KVL / Klausuren / MAP 1st HS: 14.10  2nd HS: 09.12  sem.br.: 17.02  begin SS: 12.04

4020195139 Dynamical systems: Nonlinear Dynamics  VVZ 

VL
Thu 11-13
weekly NEW 15 2'102 (24) Michael Zaks
UE
Wed 13-15
weekly NEW 14 1'10 (16) Michael Zaks
Aims
The course is concepted as an introduction into the
problematics, ideas and methods of the modern nonlinear dynamics. The underlying mathematical formalism will be illustrated by examples from applications: fluid dynamics, neuroscience, populational dynamics. The students will learn how to determine the stability of steady and oscillatory states, and how to deal with chaotic behavior. The acquired knowledge can be later applied to various fields of the modern natural science.
Requirements
BA in physics
Structure / topics / contents
* Dynamical systems: discrete and continuous, dissipative and Hamiltonian.
* Various definitions of stability and their physical meaning.
* Local bifurcations of equilibria and periodic solutions. Poincare-mapping. Global bifurcations.
* Bifurcational scenarios and universal transitions to chaos.
* Chaotic attractors and their fractal properties.
* Lyapunov exponents
* Introduction into the KAM-theory and the Hamiltonian chaos.
* Examples from fluid mechanics, population models
(ecology), neurodynamics.
Assigned modules
P25.3.b
Amount, credit points; Exam / major course assessment
4 SWS, 6 SP/ECTS (Arbeitsanteil im Modul für diese Lehrveranstaltung, nicht verbindlich)
Oral exam
Contact
PD Dr. Michael Zaks (3'410)
Literature
Argyris, Faust, Haase, Friedrich. Die Erforschung des Chaos. Springer
Glendinning. Stability, Instability and Chaos. Cambridge University Press
Ott. Chaos in Dynamical Systems. Cambridge University Press
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