Li-Yorke chaos in 2D discrete systems

Chuanjun Tian; Guanrong Chen

doi:10.1007/s12190-007-0026-z

Li-Yorke chaos in 2D discrete systems

Chuanjun Tian, Guanrong Chen

Department of Electrical Engineering

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

2 Citations (Scopus)

Abstract

This paper is concerned with chaos of 2D discrete systems of the form x_m+1,n=f(x_m,n,x_m,n+1), where f:I ²→I is a function on a bounded subset I of R and m,n N ₀={0,1,2,...}. A new and illustrative example, different from the coupled map lattice, is shown for such a system to be chaotic in the sense of Li-Yorke. © 2007 KSCAM and Springer-Verlag.

Original language	English
Pages (from-to)	503-515
Journal	Journal of Applied Mathematics and Computing
Volume	26
Issue number	1-2
DOIs	https://doi.org/10.1007/s12190-007-0026-z
Publication status	Published - Feb 2008

Research Keywords

2D discrete system
Chaos in the sense of Li-Yorke

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AB - This paper is concerned with chaos of 2D discrete systems of the form xm+1,n=f(xm,n,xm,n+1), where f:I 2→I is a function on a bounded subset I of R and m,n N 0={0,1,2,...}. A new and illustrative example, different from the coupled map lattice, is shown for such a system to be chaotic in the sense of Li-Yorke. © 2007 KSCAM and Springer-Verlag.

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KW - Chaos in the sense of Li-Yorke

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JO - Journal of Applied Mathematics and Computing

JF - Journal of Applied Mathematics and Computing

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ER -

Li-Yorke chaos in 2D discrete systems

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