CDS/CIMMS Kliegel Lecture: On the macroscopic dynamics of conservative maps under parameter variation

Dr. Oliver Junge, Munich University of Technology, Germany

We numerically analyse the change in the macroscopic dynamical behaviour of certain conservative maps on the plane as a system parameter is varied.  The analysis is based on the computation of the leading eigenfunctions of the transfer operator for a randomly perturbed version of the underlying map. We analytically show how the corresponding eigenvalues depend on the noise level and present associated numerical examples. This is joint work with Igor Mezic (UCSB) and Jerry Marsden (Caltech).

Poster:
http://www.cds.caltech.edu/info/admin/uploads/wgm/kliegel_junge2.pdf
http://www.cds.caltech.edu/info/admin/uploads/wgm/kliegel_junge2.jpg