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

2 Citations (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

Access to Document

10.1142/S0218127406014794

Cite this

@article{10b6333b2a084254aa7b0755b931a061,

title = "Synchronization and asynchronization in a lattice of Coupled Lorenz-type Maps",

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.",

keywords = "Chaotic synchronization, Lorenz-type map",

author = "Lin, \{Wen Wei\} and Shieh, \{Shih Feng\} and Wang, \{Y. I.Qian\}",

year = "2006",

month = feb,

doi = "10.1142/S0218127406014794",

language = "English",

volume = "16",

pages = "269--280",

journal = "International Journal of Bifurcation and Chaos",

issn = "0218-1274",

publisher = "World Scientific",

number = "2",

}

TY - JOUR

T1 - Synchronization and asynchronization in a lattice of Coupled Lorenz-type Maps

AU - Lin, Wen Wei

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

UR - https://www.scopus.com/pages/publications/33645676961

UR - https://www.scopus.com/pages/publications/33645676961#tab=citedBy

U2 - 10.1142/S0218127406014794

DO - 10.1142/S0218127406014794

M3 - Article

AN - SCOPUS:33645676961

SN - 0218-1274

VL - 16

SP - 269

EP - 280

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this