Carolin Gietz

Dr. Martin Rasmussen (Imperial College London): Bifurcations of random dynamical systems

Wednesday, 06.07.2016 16:15 im Raum M5

Mathematik und Informatik

Despite its importance for applications, relatively little progress has been made towards the development of a bifurcation theory for random dynamical systems. In this talk, I will demonstrate that adding noise to a deterministic mapping with a pitchfork bifurcation does not destroy the bifurcation, but leads to two different types of bifurcations. The first bifurcation is characterised by a breakdown of uniform attraction, while the second bifurcation can be described topologically. Both bifurcations do not correspond to a change of sign of the Lyapunov exponents, but I will explain that these bifurcations can be characterised by qualitative changes in the dichotomy spectrum and collisions of attractor-repeller pairs. This is joint work with M. Callaway, T.S. Doan, J.S.W Lamb (Imperial College London) and C.S. Rodrigues (MPI Leipzig).

Angelegt am Thursday, 07.04.2016 08:31 von Carolin Gietz
Geändert am Tuesday, 31.05.2016 08:00 von Carolin Gietz
[Edit | Vorlage]

Angewandte Mathematik Münster
Oberseminar Angewandte Mathematik