Topological horseshoes in travelling waves of discretized nonlinear wave equations

Yi Chiuan Chen; Shyan Shiou Chen; Juan Ming Yuan

doi:10.1063/1.4870618

Topological horseshoes in travelling waves of discretized nonlinear wave equations

Yi Chiuan Chen^*, Shyan Shiou Chen, Juan Ming Yuan

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	042701
Journal	Journal of Mathematical Physics
Volume	55
Issue number	4
DOIs	https://doi.org/10.1063/1.4870618
Publication status	Published - 2014 Apr 15

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4870618

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title = "Topological horseshoes in travelling waves of discretized nonlinear wave equations",

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.",

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N2 - 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.

AB - 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.

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Topological horseshoes in travelling waves of discretized nonlinear wave equations

Abstract

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