Wavelet transform method for coupled map lattices

  • Authors:

  • Cheng Juang;Chin-Lung Li;Y. H. Liang;Jonq Juang

  • Affiliations:

  • Department of Electronics, Ming Hsin University of Science and Technology, Hsinchu, Taiwan;Department of Applied Mathematics, National Hsinchu University of Education, Hsinchu, Taiwan;Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan;Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan

  • Venue:
  • IEEE Transactions on Circuits and Systems Part I: Regular Papers
  • Year:
  • 2009

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Abstract

The purpose of this paper is twofold. First, we derive a necessary and sufficient condition for local synchronization in coupled map lattices (CMLs) with symmetric coupling. In particular, we also identify the best choice of coupling strength in the sense that such a coupling strength gives the fastest convergence rate of initial values toward the synchronous manifold. Furthermore, such a coupling strength is independent of the choice of the individual chaotic map. In addition, it is demonstrated that the wavelet transform method, which is proposed by Wei et al., can greatly increase the applicable ranges of coupling strengths, the parameters of the individual chaotic map, and the number of nodes for local synchronization of CMLs.