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

Chuanjun Tian and Guanrong Chen

Physica A: Statistical Mechanics and its Applications, 2007, vol. 376, issue C, 246-252

Abstract: This paper is mainly concerned with coupled map lattice (CML) of the formxm+1,n=(1-ε)f(xm,n)+0.5ε{f(xm,n-1)+f(xm,n+1)},where f:R→R is a function and m∈N0={0,1,…} and n∈Z={…,-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.

Keywords: Discrete spatiotemporal system; Coupled map lattice; Chaos in the sense of Li–Yorke (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:376:y:2007:i:c:p:246-252

DOI: 10.1016/j.physa.2006.10.049

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