Exponential synchronization of nonlinear coupled dynamical networks

被引:31
作者
Chen, Tianping [1 ]
Zhu, Zhimiao [1 ]
机构
[1] Fudan Univ, Inst Math, Lab Nonlinear Math Sci, Shanghai 200433, Peoples R China
来源
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2007年 / 17卷 / 03期
基金
美国国家科学基金会;
关键词
dynamical networks; synchronization manifold; stability of synchronization manifold; nonlinear coupling;
D O I
10.1142/S0218127407017719
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we discuss exponential synchronization of nonlinear coupled dynamical networks. Sufficient conditions for both local and global exponential synchronization are given. These conditions indicate that the left and right eigenvectors corresponding to eigenvalue zero of the coupling matrix play key roles in the stability analysis of the synchronization manifold.
引用
收藏
页码:999 / 1005
页数:7
相关论文
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[11]   Impulsive control and synchronization of nonlinear dynamical systems and application to secure communication [J].
Yang, T ;
Chua, LO .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1997, 7 (03) :645-664