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260143 VO Deterministic Chaos I (2012W)

Nonlinear Dynamics in Science

2.50 ECTS (2.00 SWS), SPL 26 - Physik

Vorbesprechung und Beginn: Di 02.10.2012 um 15:00 Uhr im Ernst-Mach Hörsaal, 2 Stock, Strudlhofgasse 4, 1090 Wien.
Di 15-17 Uhr, Ernst-Mach-HS

Details

Language: German

Examination dates

Lecturers

Classes

Currently no class schedule is known.

Information

Aims, contents and method of the course

This course gives an introduction into nonlinear dynamical processes with examples taken from physics, astronomy, chemistry, meteorology, ;geology, biology, and mathematics. It iprovides also the basis for a follow-up course (Deterministic Chaos II: From dynamical chaos to molecular chaos in Statistical Physics) on nonequilibrium processes far from equilibrium. Nonlinear processes appear everywhere in nature. They belong to the fastest-growing fields in science. The topics discussed include: solitons versus chaos, one-dimensional maps, bifurcations,renormalization and universality, intermitteny and 1/f noise, dynamical chaos in systems of differential equations, linear stability analysis, stable and unstable manifolds, dissipative systems, fractals, Lyapunov instability.

Assessment and permitted materials

Oral examination at the end of the course

Minimum requirements and assessment criteria

Understanding of the course. Development of skills for solving nonlinear problems in physics and related fields.

Examination topics

Corresponding to the type of the course, theoretical and numerical (simulation) methods are used. Computer graphics is important.

Reading list

Zusatzliteratur wird angegeben. Zahlreiche Graphiken werden als Kopien verteilt.

Association in the course directory

MF 1, MaG 7, PD250, PD310

Last modified: We 19.08.2020 08:06