Institute for Mathematics and Its Applications Peter Ashwin, University of Surrey
I will discuss some recent work looking at generic dynamics and bifurcations of systems with symmetries, or more generally, with invariant subspaces. On varying system parameters it is possible for chaotic states in invariant subspaced to lose stability through various types of blowout bifurcation. Although classification of such blowouts is only partially understood, they do seem to provide a good framework to describe breakdown to spatio-temporal intermittency in physical systems with symmetries. This talk will discuss examples of such intermittent patterns formed in physical systems and also some open problems in the theory.