Synchronization analysis for nonlinearly-coupled complex networks with an asymmetrical coupling matrix

被引：150
作者：
Liu, Xiwei [1 ]
Chen, Tianping [1 ]
机构：
[1] Fudan Univ, Sch Math, Chinese Minist Educ, Key Lab Nonlinear Sci, Shanghai 200433, Peoples R China
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2008年 / 387卷 / 16-17期
基金：
中国国家自然科学基金;
关键词：
global synchronization; asymmetrical coupling matrix; nonlinear coupling function; projection method; the left eigenvector;
D O I：
10.1016/j.physa.2008.03.005
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the global synchronization for an array of nonlinearly coupled identical chaotic systems is investigated. A distinctive feature of this work is to address synchronization issues for nonlinearly coupled complex networks with an asymmetrical coupling matrix. By projecting the nonlinearly coupling function onto a linear one and assuming the difference between them as a disturbing function, we give some criteria for the global synchronization in virtual of the left eigenvector Corresponding to the zero eigenvalue of the coupling matrix. Numerical examples are also provided to demonstrate the effectiveness of the theory. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：4429 / 4439
页数：11
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