Wavelet transform method for coupled map lattices

Cheng Juang*, Chin Lung Li, Y. H. Liang, Juang Jonq

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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.

Original languageEnglish
Pages (from-to)840-845
Number of pages6
JournalIEEE Transactions on Circuits and Systems I: Regular Papers
Volume56
Issue number4
DOIs
StatePublished - 15 May 2009

Keywords

  • Connectivity topology
  • Synchronization
  • Wavelet transform

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