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250115 VO Dynamical systems and nonlinear differential equations (2020S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).

Details

Language: English

Examination dates

Lecturers

Josef Hofbauer

Classes (iCal) - next class is marked with N

I have sent out notes for the classes on 17, 24, 26 March, 2, 21, 30 April and 13 May for home learning.
If you take this course and did not receive my email please let me know.

Tuesday 03.03. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 05.03. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 10.03. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 17.03. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 19.03. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 24.03. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 26.03. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 31.03. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 02.04. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 21.04. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 23.04. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 28.04. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 30.04. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 05.05. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 07.05. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 12.05. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 14.05. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 19.05. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 26.05. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 28.05. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 04.06. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 09.06. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 16.06. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 18.06. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 23.06. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Thursday 25.06. 08:00 - 08:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
Tuesday 30.06. 08:00 - 09:30 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Basic notions for continuous and discrete dynamical systems; stability of stationary points by linearization and by Lyapunov functions, gradient systems, Hamiltonian systems, Poincaré-Bendixson theory, invariant manifolds, Hartman-Grobman theorem, bifurcations, Poincaré normal form, iteration of maps (interval, circle), Sharkovski's theorem, structural stability

Assessment and permitted materials

written or oral exam (probably via internet, e.g. using jitsi)

It is highly recommended to attend the Proseminar and solve the homework problems.

Minimum requirements and assessment criteria

erforderliche Vorkenntnisse:
Vorlesung "Gewöhnliche Differentialgleichungen" aus dem Bachelorstudium

Examination topics

course notes

Reading list

Teschl, chapters 6-13
https://www.mat.univie.ac.at/~gerald/ftp/book-ode/ode.pdf

Association in the course directory

MANO; MBIO; MSTO

Last modified: Th 19.05.2022 00:24