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

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

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.

原文	英語
文章編號	042701
期刊	Journal of Mathematical Physics
卷	55
發行號	4
DOIs	https://doi.org/10.1063/1.4870618
出版狀態	已發佈 - 2014 4月 15

ASJC Scopus subject areas

統計與非線性物理學
數學物理學

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10.1063/1.4870618

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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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Topological horseshoes in travelling waves of discretized nonlinear wave equations

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