A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions-Reference-Cited by-同舟云学术

A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions

Published:2011 Issue: Volume:2011 Page:1-16
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Yuan Li-Guo¹²,Yang Qi-Gui¹

Affiliation:

1. School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China

2. Department of Applied Mathematics, South China Agricultural University, Guangzhou 510640, China

Abstract

We first study how to make use of the Marotto theory to prove rigorously the existence of the Li-Yorke chaos in diffusively coupled map lattices with open boundary conditions (i.e., a high-dimensional discrete dynamical system). Then, the recent 0-1 test for chaos is applied to confirm our theoretical claim. In addition, we control the chaotic motions to a fixed point with delay feedback method. Numerical results support the theoretical analysis.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2011/174376.pdf

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