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Nonlinear Dynamics (Nichtlineare Dynamik) (3V/1U)

Lecturer

Prof. Dr.-Ing. Christian Ebenbauer

Assistant

Christian Feller

Time and place (3h lecture + 1h exercise)
Mon. 15:45-17:15, V 57.04       
Fri. 11:30-13:00, V 9.31
First lecture: Friday, April 12, 2013

Course description (Engineer@work)

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

  • Handouts
    ILIAS (Ingenieurwissenschaften-> Kybernetik).

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

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