A proof for the existence of chaos in diffusively coupled map lattices with open boundary conditions (Q764530)
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scientific article; zbMATH DE number 6014492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A proof for the existence of chaos in diffusively coupled map lattices with open boundary conditions |
scientific article; zbMATH DE number 6014492 |
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A proof for the existence of chaos in diffusively coupled map lattices with open boundary conditions (English)
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13 March 2012
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Summary: 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.
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