Universität Wien

250134 VO Ordinary Differential Equations 2 (2005W)

Ordinary Differential Equations 2

0.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: German

Lecturers

Classes (iCal) - next class is marked with N

  • Thursday 06.10. 09:00 - 11:00 Seminarraum
  • Thursday 13.10. 09:00 - 11:00 Seminarraum
  • Thursday 20.10. 09:00 - 11:00 Seminarraum
  • Thursday 27.10. 09:00 - 11:00 Seminarraum
  • Thursday 03.11. 09:00 - 11:00 Seminarraum
  • Thursday 10.11. 09:00 - 11:00 Seminarraum
  • Thursday 17.11. 09:00 - 11:00 Seminarraum
  • Thursday 24.11. 09:00 - 11:00 Seminarraum
  • Thursday 01.12. 09:00 - 11:00 Seminarraum
  • Thursday 15.12. 09:00 - 11:00 Seminarraum
  • Thursday 12.01. 09:00 - 11:00 Seminarraum
  • Thursday 19.01. 09:00 - 11:00 Seminarraum
  • Thursday 26.01. 09:00 - 11:00 Seminarraum

Information

Aims, contents and method of the course

1) First order equations - stability
2) Second order systems - oscillations
3) Third order systems - chaos
4) Higher order systems - invariant manifolds

Assessment and permitted materials

Minimum requirements and assessment criteria

Introduction to the most important methods for continuous dynamical systems, application to model problems from mathematical biology

Examination topics

Phase portraits, linearization, Poincare-Bendixon theory, perturbation methods, bifurcation theory

Reading list

Strogatz, Steven: Nonlinear dynamics and chaos
(with applications to physics, biology, chemistry, and engineering), Westview Press, Cambridge, Mass., 2005

Association in the course directory

Last modified: Mo 07.09.2020 15:40