Theoretical analysis of synchronization in delayed complex dynamical networks with discontinuous coupling

被引：9
作者：
Sun, Yongzheng [1 ,2 ]
Ma, Zhicai [1 ]
Liu, Feng [1 ]
Wu, Jie [1 ]
机构：
[1] China Univ Min & Technol, Sch Sci, Xuzhou 221008, Peoples R China
[2] Univ Oxford, Math Inst, Oxford OX1 3LB, England
来源：
NONLINEAR DYNAMICS | 2016年 / 86卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Complex network; Synchronization; Time delay; GLOBAL SYNCHRONIZATION; NEURAL-NETWORKS; SYSTEMS; STABILITY; OSCILLATION;
D O I：
10.1007/s11071-016-2902-2
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we study the synchronization problem of time-delayed complex networks with discontinuous coupling. Sufficient conditions for the synchronization are obtained based on the stability theory of differential equations. The theoretical results show that the time-delayed networks can achieve synchronization even if the coupling is switched off sometimes. We find analytically that the speed of synchronization is proportional to the on-off rate of the coupling and the algebraic connectivity of networks. Finally, the analytical results are confirmed by numerical simulations.
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收藏
页码：489 / 499
页数：11
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