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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Bibliographic Details
Main Authors: Li-Guo Yuan, Qi-Gui Yang
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/174376
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