Synchronization and asynchronization in a lattice of Coupled Lorenz-type Maps

Wen-Wei Lin*, Shih Feng Shieh, Y. I.Qian Wang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

In this paper, we study synchronization and asynchronization in a Coupled Lorenz-type Map Lattice (CLML). Lorenz-type map forms a chaotic system with an appropriate discontinuous function. We prove that in a CLML with suitable coupling strength, there is a subset of full measure in the phase space such that chaotic synchronization occurs for any orbit starting from this subset and there is a dense subset of measure zero in the phase space such that synchronization will never occur. We also provide numerical observations to explain our results.

Original languageEnglish
Pages (from-to)269-280
Number of pages12
JournalInternational Journal of Bifurcation and Chaos
Volume16
Issue number2
DOIs
StatePublished - 1 Jan 2006

Keywords

  • Chaotic synchronization
  • Lorenz-type map

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