Chaos synchronization between linearly coupled chaotic systems

Jinhu Lü; Tianshou Zhou; Suochun Zhang

doi:10.1016/S0960-0779(02)00005-X

Chaos synchronization between linearly coupled chaotic systems

Jinhu Lü^*
, Tianshou Zhou
, Suochun Zhang

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences
Tsinghua University
CAS - Institute of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

263 Scopus citations

Abstract

This paper investigates the chaos synchronization between two linearly coupled chaotic systems. Some sufficient conditions of global asymptotic synchronization are attained from rigorously mathematical theory. Also, a new method for analyzing the stability of synchronization solution is presented. Using this method, some sufficient conditions of linear stability of the synchronization chaotic solution are gained. The influence of coupling coefficients on chaos synchronization is further studied for three typical chaotic systems: Lorenz system, Chen system, and newly found Lü system.

Original language	English
Pages (from-to)	529-541
Number of pages	13
Journal	Chaos, Solitons and Fractals
Volume	14
Issue number	4
DOIs	https://doi.org/10.1016/S0960-0779(02)00005-X
State	Published - Sep 2002
Externally published	Yes

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10.1016/S0960-0779(02)00005-X

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title = "Chaos synchronization between linearly coupled chaotic systems",

abstract = "This paper investigates the chaos synchronization between two linearly coupled chaotic systems. Some sufficient conditions of global asymptotic synchronization are attained from rigorously mathematical theory. Also, a new method for analyzing the stability of synchronization solution is presented. Using this method, some sufficient conditions of linear stability of the synchronization chaotic solution are gained. The influence of coupling coefficients on chaos synchronization is further studied for three typical chaotic systems: Lorenz system, Chen system, and newly found L{\"u} system.",

author = "Jinhu L{\"u} and Tianshou Zhou and Suochun Zhang",

year = "2002",

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doi = "10.1016/S0960-0779(02)00005-X",

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T1 - Chaos synchronization between linearly coupled chaotic systems

AU - Lü, Jinhu

AU - Zhou, Tianshou

AU - Zhang, Suochun

PY - 2002/9

Y1 - 2002/9

N2 - This paper investigates the chaos synchronization between two linearly coupled chaotic systems. Some sufficient conditions of global asymptotic synchronization are attained from rigorously mathematical theory. Also, a new method for analyzing the stability of synchronization solution is presented. Using this method, some sufficient conditions of linear stability of the synchronization chaotic solution are gained. The influence of coupling coefficients on chaos synchronization is further studied for three typical chaotic systems: Lorenz system, Chen system, and newly found Lü system.

AB - This paper investigates the chaos synchronization between two linearly coupled chaotic systems. Some sufficient conditions of global asymptotic synchronization are attained from rigorously mathematical theory. Also, a new method for analyzing the stability of synchronization solution is presented. Using this method, some sufficient conditions of linear stability of the synchronization chaotic solution are gained. The influence of coupling coefficients on chaos synchronization is further studied for three typical chaotic systems: Lorenz system, Chen system, and newly found Lü system.

UR - https://www.scopus.com/pages/publications/0036722172

U2 - 10.1016/S0960-0779(02)00005-X

DO - 10.1016/S0960-0779(02)00005-X

M3 - 文章

AN - SCOPUS:0036722172

SN - 0960-0779

VL - 14

SP - 529

EP - 541

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4

ER -

Chaos synchronization between linearly coupled chaotic systems

Abstract

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