Display Abstract

Title A model for the nonautonomous Hopf bifurcation

Name Vasso Anagnostopoulou
Country England
Email vanagnos@imperial.ac.uk
Co-Author(s) Tobias Jaeger, Gerhard Keller,
Submit Time 2014-02-28 08:55:16
Session
Special Session 19: Nonautonomous dynamics
Contents
We study a class of model systems which exhibit the full two step scenario for the nonautonomous Hopf bifurcation, as proposed by Ludwig Arnold. The specific structure of these models allows for a rigorous and thorough analysis of the bifurcation pattern. In particular, we show the existence of an invariant 'torus' splitting off a previously stable central manifold after the second bifurcation point.