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

Li-Guo Yuan and Qi-Gui Yang

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-16

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:174376

DOI: 10.1155/2011/174376

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