A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions
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 theoretic...
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2011-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2011/174376 |
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doaj-4e5b5793b9e4458783d230bf4dec74812020-11-24T20:45:30ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2011-01-01201110.1155/2011/174376174376A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary ConditionsLi-Guo Yuan0Qi-Gui Yang1School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, ChinaSchool of Mathematical Sciences, South China University of Technology, Guangzhou 510640, ChinaWe 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.http://dx.doi.org/10.1155/2011/174376 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Li-Guo Yuan Qi-Gui Yang |
spellingShingle |
Li-Guo Yuan Qi-Gui Yang A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions Discrete Dynamics in Nature and Society |
author_facet |
Li-Guo Yuan Qi-Gui Yang |
author_sort |
Li-Guo Yuan |
title |
A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions |
title_short |
A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions |
title_full |
A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions |
title_fullStr |
A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions |
title_full_unstemmed |
A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions |
title_sort |
proof for the existence of chaos in diffusively coupled map lattices with open boundary conditions |
publisher |
Hindawi Limited |
series |
Discrete Dynamics in Nature and Society |
issn |
1026-0226 1607-887X |
publishDate |
2011-01-01 |
description |
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. |
url |
http://dx.doi.org/10.1155/2011/174376 |
work_keys_str_mv |
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1716814536309211136 |