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Dynamic Properties of Coupled Maps

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  • Chunrui Zhang
  • Huifeng Zheng

Abstract

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, for some 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.

Suggested Citation

  • Chunrui Zhang & Huifeng Zheng, 2010. "Dynamic Properties of Coupled Maps," Discrete Dynamics in Nature and Society, Hindawi, vol. 2010, pages 1-10, September.
  • Handle: RePEc:hin:jnddns:905102
    DOI: 10.1155/2010/905102
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