Universität Wien

250115 VO Dynamical Systems and Nonlinear Differential Equations (2023S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik
Moodle

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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Monday 06.03. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 07.03. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 14.03. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 20.03. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 21.03. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 27.03. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 28.03. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 17.04. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 18.04. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 24.04. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 25.04. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Tuesday 02.05. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 08.05. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 09.05. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 15.05. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 16.05. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 22.05. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 23.05. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 05.06. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 06.06. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 12.06. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 13.06. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 19.06. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 20.06. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 26.06. 13:15 - 14:45 Hörsaal 11 Oskar-Morgenstern-Platz 1 2.Stock
  • Tuesday 27.06. 11:30 - 12:15 Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß

Information

Aims, contents and method of the course

The aim of this lecture course is for the participants to obtain an understanding and a working knowledge of basic concepts and examples of Dynamical System and Nonlinear Differential Equations.

This course introduces and discusses aspects of both continuous and discrete dynamical systems, plus illustrative examples from applications. Specific topics include: flows; stability of fixed points (linearisation, Lyapunov functions); planar systems; bifurcation theory; notions of topological dynamics, attractors, and chaos; further topics.

Prerequisites: Completion of a course on ordinary differential equations.

Assessment and permitted materials

Exam

Minimum requirements and assessment criteria

Prerequisites: Completion of a course on ordinary differential equations.

As usual, the final exam requires participants to demonstrate an understanding of the underlying theory and the ability to apply the results presented in the lectures. (Further informations will be provided during the course.)

Examination topics

The contents of the course (outlined above). (Further informations will be provided during the course.)

Reading list

Textbooks related to this course include the following. (Further information will be provided during the course.)

R J Brown: A Modern Introduction to Dynamical Systems, Oxford University Press 2018,
(https://global.oup.com/academic/product/a-modern-introduction-to-dynamical-systems-9780198743286)

C Robinson: An Introduction to Dynamical Systems, 2nd ed, AMS 2012
(https://bookstore.ams.org/view?ProductCode=AMSTEXT/19)

S Strogatz: Nonlinear dynamics and chaos, with applications to physics, biology and engineering,
CRC Press, 2015, ISBN-13: 978-0813349107 or ISBN-10: 0813349109

G Teschl: Ordinary Differential Equations and Dynamical Systems, AMS Graduate Studies in Mathematics
(https://www.mat.univie.ac.at/~gerald/ftp/book-ode/ode.pdf)

M Viana, J M Espinar: Differential Equations: A Dynamical Systems Approach to Theory and Practice,
AMS 2021 (https://bookstore.ams.org/view?ProductCode=GSM/212)

Association in the course directory

MANO; MBIO; MSTO

Last modified: Fr 01.03.2024 11:46