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

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

doi:10.1142/S0218127406014794

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 journal › Article › peer-review

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 language	English
Pages (from-to)	269-280
Number of pages	12
Journal	International Journal of Bifurcation and Chaos
Volume	16
Issue number	2
DOIs	https://doi.org/10.1142/S0218127406014794
Publication status	Published - 2006 Feb
Externally published	Yes

Keywords

Chaotic synchronization
Lorenz-type map

ASJC Scopus subject areas

Modelling and Simulation
Engineering (miscellaneous)
General
Applied Mathematics

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10.1142/S0218127406014794

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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.",

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AU - Shieh, Shih Feng

AU - Wang, Y. I.Qian

PY - 2006/2

Y1 - 2006/2

N2 - 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.

AB - 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.

KW - Chaotic synchronization

KW - Lorenz-type map

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JF - International Journal of Bifurcation and Chaos

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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