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

Chuanjun Tian; Guanrong Chen

doi:10.1016/j.physa.2006.10.049

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

Chuanjun Tian, Guanrong Chen

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

28 Citations (Scopus)

Abstract

This paper is mainly concerned with coupled map lattice (CML) of the formx_{m + 1, n} = (1 - ε{lunate}) f (x_{m, n}) + 0.5 ε{lunate} { f (x_{m, n - 1}) + f (x_{m, 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. © 2006 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	246-252
Journal	Physica A: Statistical Mechanics and its Applications
Volume	376
Issue number	1-2
DOIs	https://doi.org/10.1016/j.physa.2006.10.049
Publication status	Published - 15 Mar 2007

Research Keywords

Chaos in the sense of Li-Yorke
Coupled map lattice
Discrete spatiotemporal system

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10.1016/j.physa.2006.10.049

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AU - Chen, Guanrong

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N2 - This paper is mainly concerned with coupled map lattice (CML) of the formxm + 1, n = (1 - ε{lunate}) f (xm, n) + 0.5 ε{lunate} { 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. © 2006 Elsevier B.V. All rights reserved.

AB - This paper is mainly concerned with coupled map lattice (CML) of the formxm + 1, n = (1 - ε{lunate}) f (xm, n) + 0.5 ε{lunate} { 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. © 2006 Elsevier B.V. All rights reserved.

KW - Chaos in the sense of Li-Yorke

KW - Coupled map lattice

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DO - 10.1016/j.physa.2006.10.049

M3 - RGC 21 - Publication in refereed journal

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JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

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

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