Chaotic synchronization in lattices of two-variable maps coupled with one variable

Wen-Wei Lin, Chen Chang Peng, Yi Qian Wang*

*Corresponding author for this work

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

In this paper, we study chaotic synchronization in 1D lattices of two-variable maps coupled with one variable. We give a rigourous proof for the occurrence of chaotic synchronization of spatially homogeneous solutions in such coupled map lattices (CMLs) of lattice size n=4 with suitable coupling coefficients. For the case of lattice size n>4, we demonstrate numerical results of synchronized chaotic behaviour of the CMLs. Moreover, we show numerically that the difference between two variables manifests chaotic behaviour. This behaviour combined with the special coupling method in the CMLs guarantees high security in applications using our new model.

Original languageEnglish
Pages (from-to)827-850
Number of pages24
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume74
Issue number6
DOIs
StatePublished - 1 Dec 2009

Keywords

  • Chaotic synchronization
  • Coupled map lattices
  • Hyperchaos
  • Lyapunov method

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