Chaos in the sense of Li–Yorke in coupled map lattices

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• 作者：Chuanjun Tian ; Guanrong Chen
• 关键词：Discrete spatiotemporal system ; Coupled map lattice ; Chaos in the sense of Li– ; Yorke
• 刊名：Physica A
• 出版年：2007
• 期刊代码：138_03784371
• 类别：et
• 出版时间：15 March 2007
• 卷：376
• 期：Complete
• 页码：246-252
• 文件大小：173 K

摘要

This paper is mainly concerned with coupled map lattice (CML) of the form

where f:R→R is a function and mN₀={0,1,…} and nZ={…,-1,0,1,…}. A new definition of chaos in discrete spatiotemporal systems in the sense of Li–Yorke is given and one sufficient condition for this system to be chaotic in the sense of Li–Yorke is derived.