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260143 VO Deterministic Chaos I (2011W)
Nonlinear Dynamics in Science
Labels
Vorbesprechung und Beginn: Di 04.10.11
Details
Language: German
Examination dates
Lecturers
Classes (iCal) - next class is marked with N
- Tuesday 04.10. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 11.10. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 18.10. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 25.10. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 08.11. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 15.11. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 22.11. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 29.11. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 06.12. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 13.12. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 10.01. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 17.01. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 24.01. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
- Tuesday 31.01. 15:00 - 17:00 Ernst-Mach-Hörsaal, Boltzmanngasse 5, 2. Stk., 1090 Wien
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: Mo 07.09.2020 15:41