Nonlinear Dynamics

SS 2019

Lecturers: Prof. Dr.-Ing. C. Ebenbauer
Credits: 3V, 1Ü

Lecturers  Prof. Dr.-Ing. Christian Ebenbauer, Dr. Victoria Grushkovskaya

Assistant  Meriem Gharbi

Time and place (3h lecture + 1h exercise)
Mon. 15:45-19:00, V 57.04
Fri. 11:30-13:00, V 9.41
First lecture: April 13, 2018

Course description

This course provides an introduction to intrinsically nonlinear phenomena in dynamical systems. The main focus of this course is on differential geometric methods. Applications will include problems from nonlinear control, optimization and mechanics. Some of the topics covered in this course are:

  • Nonlinear vector fields and flows
  • Stability and bifurcations
  • Lie brackets and commutativity of flows
  • Manifolds, vector fields on manifolds and integrability
  • Center manifolds and advanced stability theory
  • Applications in Control, Mechanics and Optimization
  • Extremum Seeking Control

ILIAS (Ingenieurwissenschaften-> Kybernetik).

The course is given in English.
No specific course prerequisites are required, SGRT recommended.

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