Chaos synchronization in complex networks

被引：67

作者：

Chen, Maoyin ^{[1
,2
]}

机构：

[1] Tsinghua Univ, Inst Proc Engn Control, Dept Automat, Beijing 100084, Peoples R China

[2] Tsinghua Univ, Tsinghua Natl Lab Informat Sci & Technol, Beijing 100084, Peoples R China

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2008年 / 55卷 / 05期

基金：

中国国家自然科学基金;

关键词：

chaos synchronization; complex networks; matrix measure; nonsynchronizability; synchronizability;

D O I：

10.1109/TCSI.2008.916436

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In this paper, we study chaos synchronization in complex networks with time-invariant, time-varying and switching configurations based on the matrix measure of complex matrices. To begin with, we propose an analytical condition for chaos synchronization. in complex networks with a time-invariant configuration. Secondly, we obtain some less conservative synchronization conditions for networks with a time-varying configuration. Thirdly, we consider chaos synchronization in networks with time-average and switching configurations. If complex subnetworks satisfy certain conditions, the networks with time-average and switching configurations are M-synchronizable. At last, we analyze the nonsynchronizability of complex networks. Chaos synchronization in complex networks can't be realized if the coupling configuration and the inner-coupling matrix satisfy certain conditions. Theoretical analysis and numerical simulations verify the effectiveness of the proposed synchronization criteria.

引用

页码：1335 / 1346

页数：12

共 38 条

[31] Synchronization in networks of nonlinear dynamical systems coupled via a directed graph [J].

Wu, CW .

NONLINEARITY, 2005, 18 (03) :1057-1064

[32] Perturbation of coupling matrices and its effect on the synchronizability in arrays of coupled chaotic systems [J].

Wu, CW .

PHYSICS LETTERS A, 2003, 319 (5-6) :495-503

[33] Synchronization in coupled arrays of chaotic oscillators with nonreciprocal coupling [J].

Wu, CW .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2003, 50 (02) :294-297

[34]

WU CW, 1995, IEEE T CIRCUITS-I, V42, P775, DOI 10.1109/81.473586

[35] A new compact neuron-bipolar junction transistor (νBJT) cellular neural network (CNN) structure with programmable large neighborhood symmetric templates for image processing [J].

Wu, CY ;

Yen, WC .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2001, 48 (01) :12-27

[36] Synchronization in general complex delayed dynamical networks [J].

Zhou, J ;

Chen, TP .

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2006, 53 (03) :733-744

[37]

[No title captured]

[38]

NATURE

← 1 2 3 4 →