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

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.

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Year of publication:	2007
Authors:	Tian, Chuanjun ; Chen, Guanrong
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 376.2007, C, p. 246-252
Publisher:	Elsevier
Subject:	Discrete spatiotemporal system \| Coupled map lattice \| Chaos in the sense of Li–Yorke

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011061149