### Wednesday, July 15

## MS44

Bifurcation Theory and Applications

2:00 PM-4:00 PM

*Room: Sidney Smith 1073*

Bifurcation theory has been successfully used to explain a wide variety of phenomena: structure and classification of planforms, modulations of cellular and spiral spatial patterns which occur in flame dynamics experiments and Belousov-Zhabotinsky chemical reactions. Furthermore, certain reduction procedures (e.g. reduction of bifurcations in certain PDEs to Ginzburg-Landau equations) are now beginning to be well-understood and justified mathematically using equivariant bifurcation theory. The goal of this minisymposium is to present some of those recent results in bifurcation theory, with a certain emphasis on systems modeled with Euclidean symmetry.

**Organizers: Benoit Dionne and Victor G. LeBlanc**

*University of Ottawa, Canada*
**2:00 Physical Manifestation of Modulated Rotating Waves**
*Martin Golubitsky*, University of Houston; Victor G. LeBlanc, University of Ottawa, Canada; and Ian Melbourne, University of Houston
**2:30 Persistence of Critical Manifolds at Non-Hyperbolic Points**
- Martin Krupa, Technische Universität Wien, Austria
**3:00 Euclidean Symmetry and Ginzburg-Landau Equations**
- Ian Melbourne, University of Houston
**3:30 Spontaneous Symmetry-Breaking and Superlattice Wave Patterns**
- Mary Silber, Northwestern University

LMH Created: 3/18/98, MMD Updated: 3/30/98