Talks and Poster Presentations (without Proceedings-Entry):
Ch. Kuehn:
"A Tour through Multiple Time Scale Dynamics";
Talk: MAPMO Seminar University of Orleans,
Orleans, France (invited);
2012-06-28.
English abstract:
An overview of multiple time scale systems and singular perturbation problems will be given. It is the goal of this talk to show the breadth of this field and outline some of its major techniques developed within the last two decades. First, I am going to briefly introduce the background for the geometric viewpoint for normally hyperbolic systems covering Fenichel theory and the notion of canards. Next, switchting between fast and slow systems will be considered using the Exchange Lemma. When normal hyperbolicity is lost the blow-up method for desingularization is employed. Then a collection of problems linking multiple time scales to numerical analysis, topological techniques, stochastic analysis and complex networks will be outlined. Each problem is motivated by models from applications.
Created from the Publication Database of the Vienna University of Technology.