Universität Wien

250010 PS Introductory Seminar on Dynamical System and Nonlinear Differential Equations (2021S)

2.00 ECTS (1.00 SWS), SPL 25 - Mathematik
Continuous assessment of course work

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

max. 40 participants
Language: English

Lecturers

Classes (iCal) - next class is marked with N

  • Friday 05.03. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 19.03. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 26.03. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 16.04. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 23.04. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 30.04. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 07.05. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 14.05. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 21.05. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 28.05. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 04.06. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 11.06. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 18.06. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 25.06. 10:30 - 11:15 Digital
    Hörsaal 13 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

Obtaining a fair understanding of the basic concepts and examples of Dynamical System and Nonlinear Differential Equations

Assessment and permitted materials

Assessment of the course will be based on an written or oral exam, depending on the number of students and the Covid19 regulations at the time.

Minimum requirements and assessment criteria

Fair understanding of the Examination topics, including moderate-length proofs

Examination topics

Basic notions for continuous and discrete dynamical systems; flows, attractors, and chaos; stability of stationary points by linearization and by Lyapunov functions, Poincaré-Bendixson theory, bifurcations.

Reading list

Kathy Alligood, Tim Sauer and James Yorke, Chaos, an Introduction to Dynamical Systems, Springer 1996 ISBN 0-387-94677-2
Michael Brin and Garrett Stuck, Introduction to Dynamical Systems, Cambridge University Press 2002 ISBN 0-521-80841-3
Robert Devaney, An Introduction to Cahotic Dynamical Systems, Benjamin and Cummings Publishing 1986, ISBN 0-8053-1601-9
Clark Robinson, Dynamical Systems (Stability, Symbolic Dynamics, and Chaos), CRC Press 1995 ISBN 0-8493-8493-1.
Steven 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, Graduate Studies in Mathematics

Association in the course directory

MBIS; MSTS; MANS;

Last modified: Fr 12.05.2023 00:21