A criterion for stability of synchronization and application to coupled Chua's systems

Hai Xai Wang; Qi Shao Lu; Qing Yunx Wang

doi:10.1088/0253-6102/51/3/19

A criterion for stability of synchronization and application to coupled Chua's systems

Hai Xai Wang^*
, Qi Shao Lu
, Qing Yunx Wang

^*此作品的通讯作者

Nanjing University of Science and Technology
Beihang University
Inner Mongolia College

科研成果: 期刊稿件 › 文章 › 同行评审

7 引用（Scopus）

摘要

We investigate synchronization in an array network of nearest-neighbor coupled chaotic oscillators. By using of the Lyapunov stability theory and matrix theory, a criterion for stability of complete synchronization is deduced. Meanwhile, an estimate of the critical coupling strength is obtained to ensure achieving chaos synchronization. As an example application, a model of coupled Chua's circuits with linearly bidirectional coupling is studied to verify the validity of the criterion.

源语言	英语
页（从-至）	475-478
页数	4
期刊	Communications in Theoretical Physics
卷	51
期	3
DOI	https://doi.org/10.1088/0253-6102/51/3/19
出版状态	已出版 - 2009
已对外发布	是

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title = "A criterion for stability of synchronization and application to coupled Chua's systems",

abstract = "We investigate synchronization in an array network of nearest-neighbor coupled chaotic oscillators. By using of the Lyapunov stability theory and matrix theory, a criterion for stability of complete synchronization is deduced. Meanwhile, an estimate of the critical coupling strength is obtained to ensure achieving chaos synchronization. As an example application, a model of coupled Chua's circuits with linearly bidirectional coupling is studied to verify the validity of the criterion.",

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T1 - A criterion for stability of synchronization and application to coupled Chua's systems

AU - Wang, Hai Xai

AU - Lu, Qi Shao

AU - Wang, Qing Yunx

PY - 2009

Y1 - 2009

N2 - We investigate synchronization in an array network of nearest-neighbor coupled chaotic oscillators. By using of the Lyapunov stability theory and matrix theory, a criterion for stability of complete synchronization is deduced. Meanwhile, an estimate of the critical coupling strength is obtained to ensure achieving chaos synchronization. As an example application, a model of coupled Chua's circuits with linearly bidirectional coupling is studied to verify the validity of the criterion.

AB - We investigate synchronization in an array network of nearest-neighbor coupled chaotic oscillators. By using of the Lyapunov stability theory and matrix theory, a criterion for stability of complete synchronization is deduced. Meanwhile, an estimate of the critical coupling strength is obtained to ensure achieving chaos synchronization. As an example application, a model of coupled Chua's circuits with linearly bidirectional coupling is studied to verify the validity of the criterion.

KW - Lipschitz condition

KW - Lyapunov function approach

KW - Synchronization

UR - https://www.scopus.com/pages/publications/65749086942

U2 - 10.1088/0253-6102/51/3/19

DO - 10.1088/0253-6102/51/3/19

M3 - 文章

AN - SCOPUS:65749086942

SN - 0253-6102

VL - 51

SP - 475

EP - 478

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

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A criterion for stability of synchronization and application to coupled Chua's systems

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