Thursday, 2008-08-14, 2:00pm, W505Evangelos Siminos
Continuous Symmetry is Sexier
In dynamical systems with continuous symmetry much can be gained in understanding of
phase space topology by ``moding out the symmetry''. I will
discuss how this can be achieved in the example of a system of ODE's describing a single mode laser with
SO(2) symmetry. I'll then discuss the problems one faces when trying to mode out symmetry in an O(2)-equivariant
PDE, the Kuramoto-Sivashinsky equation.