On generalized synchronization of spatial chaos

Guanrong Chen; Shu Tang Liu

doi:10.1016/S0960-0779(02)00101-7

On generalized synchronization of spatial chaos

Guanrong Chen
, Shu Tang Liu

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

57 Citations (Scopus)

Abstract

Consider the following two spatially generalized Logistic systems with two different real parameters: x_m+1,n + ωx_m,n+1 = 1 - μ₁[(1 + ω)x_mn]² and y_m+1,n + ωy_m,n+1 = 1 - μ₂[(1 + ω)y _mn]², where ω is a constant. We introduce an analytical method for generalized synchronization of these two spatially chaotic systems. We specify a range of the coupling constant in the generalized synchronization, and characterize a nonlinear function for synchronization stability. © 2002 Elsevier Science Ltd. All rights reserved.

Original language	English
Pages (from-to)	311-318
Journal	Chaos, Solitons and Fractals
Volume	15
Issue number	2
DOIs	https://doi.org/10.1016/S0960-0779(02)00101-7
Publication status	Published - Jan 2003

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title = "On generalized synchronization of spatial chaos",

abstract = "Consider the following two spatially generalized Logistic systems with two different real parameters: xm+1,n + ωxm,n+1 = 1 - μ1[(1 + ω)xmn]2 and ym+1,n + ωym,n+1 = 1 - μ2[(1 + ω)y mn]2, where ω is a constant. We introduce an analytical method for generalized synchronization of these two spatially chaotic systems. We specify a range of the coupling constant in the generalized synchronization, and characterize a nonlinear function for synchronization stability. {\textcopyright} 2002 Elsevier Science Ltd. All rights reserved.",

author = "Guanrong Chen and Liu, \{Shu Tang\}",

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doi = "10.1016/S0960-0779(02)00101-7",

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AU - Chen, Guanrong

AU - Liu, Shu Tang

PY - 2003/1

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N2 - Consider the following two spatially generalized Logistic systems with two different real parameters: xm+1,n + ωxm,n+1 = 1 - μ1[(1 + ω)xmn]2 and ym+1,n + ωym,n+1 = 1 - μ2[(1 + ω)y mn]2, where ω is a constant. We introduce an analytical method for generalized synchronization of these two spatially chaotic systems. We specify a range of the coupling constant in the generalized synchronization, and characterize a nonlinear function for synchronization stability. © 2002 Elsevier Science Ltd. All rights reserved.

AB - Consider the following two spatially generalized Logistic systems with two different real parameters: xm+1,n + ωxm,n+1 = 1 - μ1[(1 + ω)xmn]2 and ym+1,n + ωym,n+1 = 1 - μ2[(1 + ω)y mn]2, where ω is a constant. We introduce an analytical method for generalized synchronization of these two spatially chaotic systems. We specify a range of the coupling constant in the generalized synchronization, and characterize a nonlinear function for synchronization stability. © 2002 Elsevier Science Ltd. All rights reserved.

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0242335964&origin=recordpage

U2 - 10.1016/S0960-0779(02)00101-7

DO - 10.1016/S0960-0779(02)00101-7

M3 - RGC 21 - Publication in refereed journal

SN - 0960-0779

VL - 15

SP - 311

EP - 318

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 2

ER -

On generalized synchronization of spatial chaos

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