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Yi-Chiuan Chen, Shyan-Shiou Chen, and Juan-Ming Yuan
Topological Horseshoe in Travelling Waves of Discretized KdV-Burgers-KS type Equations
ABSTRACT. Applying the concept of anti-integrable limit to space-time discretized KdV-Burgers-KS type equations, we show that there exist topological horseshoes in the phase space formed by the initial states of travelling wave solutions of the resulted coupled map lattices. In particular, the coupled map lattices display spatio-temporal chaos on