Special Session 6: Bifurcation and Chaotic Dynamics

Topological horseshoes in travelling waves of discretized nonlinear wave equations

Yi-Chiuan Chen
Academia Sinica
Taiwan
Co-Author(s):    S-S Chen and J-M Yuan
Abstract:
Applying the concept of anti-integrable limit to coupled map lattices originated from space-time discretized nonlinear wave equations, we show that there exist topological horseshoes in the phase space formed by the initial states of travelling wave solutions. In particular, the coupled map lattices display spatio-temporal chaos on the horseshoes.