Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Dr. Martin Rasmussen
Imperial College, London

 
spricht am
 
Dienstag, 20. Dezember 2016
 
um
 
17:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Topological equivalence of random dynamical systems«

Abstract:
We study bifurcations of dynamical systems perturbed by bounded noise. A simplified approach to look at such systems is to consider the induced set-valued dynamical system (by ignoring the involved probabilities), and bifurcations in set-valued dynamical systems can be observed as discontinuous changes in the minimal invariant sets. On the other hand, a more detailed description is possible when considering the induced random dynamical systems instead of the set-valued dynamical system. Here we study bifurcations induced by a breakdown of topological equivalence and discuss in particular one-dimensional monotone random maps and random circle homeomorphisms. Differences and similarities of both approaches will be highlighted in the talk. Joint work with Thai Son Doan, Jeroen Lamb and Julian Newman.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. F. Colonius
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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