Dynamic Properties of Coupled Maps | Zendy

Chunrui Zhang | Zendy; Huifeng Zheng | Zendy

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Dynamic Properties of Coupled Maps

Author(s) -

Chunrui Zhang,

Huifeng Zheng

Publication year - 2010

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 - 10.1155/2010/905102

Subject(s) - coupling (piping) , statistical physics , chaos (operating system) , boundary (topology) , periodic boundary conditions , k nearest neighbors algorithm , computer science , boundary value problem , physics , mathematics , mathematical analysis , materials science , artificial intelligence , computer security , metallurgy

Dynamic properties are investigated in the coupled system of three maps with symmetric nearest neighbor coupling and periodic boundary conditions. The dynamics of the system is controlled by certain coupling parameters. We show that, forsome values of the parameters, the system exhibits nontrivial collective behavior, such as multiple bifurcations, and chaos. We give computer simulations to support the theoretical predictions

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