Saturday, August 12

MS51
Existence Theorems for Traveling Waves, Periodic Solutions, and Steady States

4:00 PM-6:00 PM
Koali (Salon 5)

Dynamical systems theory often gives an important role to various special solutions which represent stable behavior of the physical system. In other situations,, these solutions may be unstable but act as "organizers" of more complex, possibly chaotic, behavior. Many methods have been applied to prove the existence of these solutions. The speakers will illustrate three such methods, namely, shooting methods, an analytic singular perturbation method emphasizing computation of the solution, and fixed point theorems in a more global setting.

4:00-4:25 Using Shooting Methods to Solve Existence Problems in Dynamical Systems

Stuart P. Hastings, Organizer; and Shangbing Ai, University of Pittsburgh, USA

4:30-4:55 Traveling Wave Solutions with Oscillatory Tails in the Coupled Chua's Circuits

Xiao-Biao Lin and Stephen Schecter Department of mathematics North Carolina State University

5:00-5:25 Existence of Solutions for the t'Hooft-Polyakov, Julia-Zee, and Cho-Maison Monopoles in the Salam-Weinberg Model

J. Bryce McLeod, University of Pittsburgh, USA; and Chie-Bing Wang, yourfit.com, USA

5:30-5:55 Solitons of the Two-Dimensional 3-Component Gauged Sigma Model

Shangbing Ai and Xinfu Chen, University of Pittsburgh, USA