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- Title
A Proof for the Existence of Chaos in Diffusively Coupled Map Lattices with Open Boundary Conditions.
- Authors
Li-Guo Yuan; Qi-Gui Yang
- 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.
- Subjects
MATHEMATICS theorems; CHAOS theory; COUPLED map lattices; BOUNDARY value problems; FIXED point theory
- Publication
Discrete Dynamics in Nature & Society, 2011, p1
- ISSN
1026-0226
- Publication type
Article
- DOI
10.1155/2011/174376