10:00 AM-12:00 PM
Room: Wasatch A/B
Invariant manifolds and foliations have become fundamental tools to study the qualitative properties of a flow or semiflow near invariant sets. They are extremely useful tracking the asymptotic behavior of solutions and providing coordinates in which systems of differential equations may be decoupled and normal forms derived. In many cases, they are useful for technical estimates which facilitate the study of bifurcation. In this minisymposium, the speakers will discuss a construction of periodic orbits for singularly perturbed systems, the existence of homoclinic orbits for singularly perturbed nonlinear Schrödinger equation, the existence and metastability of spiky solutions for reaction-diffusion systems with strong coupling, the motion of interacting spikes, and surface nucleation for the Ginzburg-Landau equations.
Organizer: Kening Lu
Brigham Young University
LMH, 1/8/99, MMD, 5/24/99