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Periodic solutions in one-dimensional coupled map lattices

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Abstract

It is proven that the existence of nonlinear solutions with time period in one-dimensional coupled map lattice with nearest neighbor coupling. This is a class of systems whose behavior can be regarded as infinite array of coupled oscillators. A method for estimating the critical coupling strength below which these solutions with time period persist is given. For some particular nonlinear solutions with time period, exponential decay in space is proved.

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Authors and Affiliations

  1. Department of Mathematics, Yangzhou University, 225006, Yangzhou, P. R. China

    Zheng Yong-ai Associate Professor, Doctor

  2. Department of Mathematics, Shanghai University, 200436, Shanghai, P. R. China

    Zheng Yong-ai Associate Professor, Doctor & Liu Zeng-rong

Authors
  1. Zheng Yong-ai Associate Professor, Doctor
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  2. Liu Zeng-rong
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Additional information

Contributed by Liu Zeng-rong

Foundation item: the National Natural Science Foundation of China (10171061)

Biography: Zheng Yong-ai (1966-)

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Yong-ai, Z., Zeng-rong, L. Periodic solutions in one-dimensional coupled map lattices. Appl Math Mech 24, 521–526 (2003). https://doi.org/10.1007/BF02435864

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  • DOI: https://doi.org/10.1007/BF02435864

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