Chaotic synchronization in lattice of partial-state coupled Lorenz equations

Wen-Wei Lin*, Chen Chang Peng

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

In this paper, we study chaotic synchronization in lattices of coupled Lorenz equations with Neumann or periodic boundary condition. Three different coupling configurations in the single xi-, yi- or zi-component are considered. Synchronization is affected by coupling rules. We prove that synchronization occurs for either xi- or yi-component coupling provided the coupling coefficient is sufficiently large. Moreover, we determine the dependence of coupling coefficients on the lattice size. For the case of the zi-component coupling, we demonstrate by numerical experience that the synchronization cannot occur.

Original languageEnglish
Pages (from-to)29-42
Number of pages14
JournalPhysica D: Nonlinear Phenomena
Volume166
Issue number1-2
DOIs
StatePublished - 1 Jun 2002

Keywords

  • Coupling
  • Lorenz equations
  • Synchronization

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