MS12 ~ Sunday, May 21, 1995 ~ 7:30 PM

Dynamical Consequences of System-Symmetry Breaking

This symposium will focus on the effects of system-symmetry-breaking perturbations (forced symmetry-breaking) on bifurcations in equivariant dynamical systems. The aim is to understand the sensitivity of the dynamics of equivariant systems to symmetry-breaking "imperfections". Although a systematic theory is unavailable at this time the speakers will describe specific problems, often motivated by experiments, where system-symmetry-breaking perturbations are responsible for the introduction of global connections (and associated complex dynamics) into systems that would otherwise exhibit relatively simple behavior.

Organizer: Edgar Knobloch, University of California, Berkeley

Hopf Bifurcation with Broken O(2) Symmetry
Edgar Knobloch, Organizer; and P. Hirschberg, University of California, Berkeley
Oscillatory Bifurcation in Large Containers
Adam S. Landsberg, Georgia Institute of Technology
Breaking of Normal Form Symmetry for Hopf Steady State Bifurcations
Vivien Kirk, University of Auckland, New Zealand
Forced Symmetry Breaking and Complex Dynamics for PDE's
Reiner Lauterbach, Weierstrass Institute for Applied Analysis and Stochastics, Germany