Chaotic synchronization in coupled map lattices with periodic boundary conditions

Wen-Wei Lin*, Yi Qian Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

In this paper, we consider a lattice of the coupled logistic map with periodic boundary conditions. We prove that synchronization occurs in the one-dimensional lattice with lattice size n = 4 for any γ in the chaotic regime [γ ≈ 3.57, 4]. It is worthwhile to emphasize that, despite of the fact that there is a rigorous proof for synchronization in many systems with continuous time, almost nothing is rigorously proved for the systems with discrete time.

Original languageEnglish
Pages (from-to)175-189
Number of pages15
JournalSIAM Journal on Applied Dynamical Systems
Volume1
Issue number2
DOIs
StatePublished - 1 Jan 2002

Keywords

  • Chaos
  • Coupled map lattices
  • Liapunov method
  • Synchronization

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