Nonlinear feedback-controlled generalized synchronization of spatial chaos

Shu Tang Liu; Guanrong Chen

doi:10.1016/j.chaos.2003.12.024

Nonlinear feedback-controlled generalized synchronization of spatial chaos

Shu Tang Liu
, Guanrong Chen

Department of Electrical Engineering

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

36 Citations (Scopus)

Abstract

Consider the following two spatially generalized Logistic systems: 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 real constant, and μ₁ and μ₂ are two real parameters. An analytical method is introduced for generalized synchronization of these two spatially chaotic systems, and a range of the coupling constant is specified for the generalized synchronization. Moreover, a nonlinear function is characterized for synchronization stability of the two coupled systems. © 2004 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	35-46
Journal	Chaos, Solitons and Fractals
Volume	22
Issue number	1
DOIs	https://doi.org/10.1016/j.chaos.2003.12.024
Publication status	Published - Oct 2004

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title = "Nonlinear feedback-controlled generalized synchronization of spatial chaos",

abstract = "Consider the following two spatially generalized Logistic systems: x m+1,n+ωxm,n+1 = 1 - μ1[(1 + ω)xmn]2 and ym+1,n+ωy m,n+1 = 1-μ2[(1 + ω)ymn]2, where ω is a real constant, and μ1 and μ2 are two real parameters. An analytical method is introduced for generalized synchronization of these two spatially chaotic systems, and a range of the coupling constant is specified for the generalized synchronization. Moreover, a nonlinear function is characterized for synchronization stability of the two coupled systems. {\textcopyright} 2004 Elsevier Ltd. All rights reserved.",

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

year = "2004",

month = oct,

doi = "10.1016/j.chaos.2003.12.024",

language = "English",

volume = "22",

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issn = "0960-0779",

publisher = "Elsevier Ltd.",

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TY - JOUR

T1 - Nonlinear feedback-controlled generalized synchronization of spatial chaos

AU - Liu, Shu Tang

AU - Chen, Guanrong

PY - 2004/10

Y1 - 2004/10

N2 - Consider the following two spatially generalized Logistic systems: x m+1,n+ωxm,n+1 = 1 - μ1[(1 + ω)xmn]2 and ym+1,n+ωy m,n+1 = 1-μ2[(1 + ω)ymn]2, where ω is a real constant, and μ1 and μ2 are two real parameters. An analytical method is introduced for generalized synchronization of these two spatially chaotic systems, and a range of the coupling constant is specified for the generalized synchronization. Moreover, a nonlinear function is characterized for synchronization stability of the two coupled systems. © 2004 Elsevier Ltd. All rights reserved.

AB - Consider the following two spatially generalized Logistic systems: x m+1,n+ωxm,n+1 = 1 - μ1[(1 + ω)xmn]2 and ym+1,n+ωy m,n+1 = 1-μ2[(1 + ω)ymn]2, where ω is a real constant, and μ1 and μ2 are two real parameters. An analytical method is introduced for generalized synchronization of these two spatially chaotic systems, and a range of the coupling constant is specified for the generalized synchronization. Moreover, a nonlinear function is characterized for synchronization stability of the two coupled systems. © 2004 Elsevier Ltd. All rights reserved.

UR - https://www.scopus.com/pages/publications/1842424426

UR - https://www.scopus.com/pages/publications/1842424426#tab=impact

U2 - 10.1016/j.chaos.2003.12.024

DO - 10.1016/j.chaos.2003.12.024

M3 - RGC 21 - Publication in refereed journal

SN - 0960-0779

VL - 22

SP - 35

EP - 46

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 1

ER -

Nonlinear feedback-controlled generalized synchronization of spatial chaos

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