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

Liguo Yuan | Zendy; Qigui Yang | Zendy

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

Author(s) -

Liguo Yuan,

Qigui Yang

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/174376

Subject(s) - boundary (topology) , chaos (operating system) , chaotic , mathematics , fixed point , dynamical systems theory , boundary value problem , coupled map lattice , control of chaos , computer science , mathematical analysis , control (management) , control theory (sociology) , physics , synchronization of chaos , quantum mechanics , computer security , artificial intelligence

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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