Mezić Research Group

Dynamical Systems and Nonlinear Control Theory

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The Mezic Research Group is pleased to host Kari Kuester

On the spectrum of a Koopman operator of a dynamical system

Kari Kuester

Department of Mathematics

University of Tuebingen, Germany

Engineering Building II, Room 2243

Wednesday, May 21, 2014

10:30 am - 11:30 am

Abstract:

The Koopman operator permits to linearize dynamical systems in a way that all important information of the original system is preserved. In particular it is interesting to study the eigenvalues and eigenfunctions of the Koopman operator. The so called Jacobs-Glicksberg-de Leeuw-splitting shows that unimodular eigenvalues are of particular interest. It decomposes the observable space into a structured and a random part. The structured part is spanned by the eigenfunctions corresponding to unimodular eigenvalues and gives insight into the longterm behavior of the Koopman operator.

Short bio:

Kari Kuester studies Mathematics at the University of Tuebingen, Germany. She is preparing her Master thesis on "The Koopman linearization of dynamical systems" under the supervision of Prof. Rainer Nagel and is currently working with Prof. Frank Neubrander at Louisiana State University, Baton Rouge.

Last Updated on Saturday, 31 May 2014 18:55  

Acknowledgements