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

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

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
Publication statusPublished - 2006 Feb

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Synchronization
Subset
Phase Space
Chaotic Synchronization
Discontinuous Functions
Chaotic systems
Chaotic System
Orbits
Orbit
Zero
Observation
Form

Keywords

  • Chaotic synchronization
  • Lorenz-type map

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

Cite this

Synchronization and asynchronization in a lattice of Coupled Lorenz-type Maps. / Lin, Wen Wei; Shieh, Shih Feng; Wang, Y. I.Qian.

In: International Journal of Bifurcation and Chaos, Vol. 16, No. 2, 02.2006, p. 269-280.

Research output: Contribution to journalArticle

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