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

被引:0
|
作者
Yongzheng Sun
Zhicai Ma
Feng Liu
Jie Wu
机构
[1] China University of Mining and Technology,School of Sciences
[2] University of Oxford,Mathematical Institute
来源
Nonlinear Dynamics | 2016年 / 86卷
关键词
Complex network; Synchronization; Time delay;
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中图分类号
学科分类号
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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页码:489 / 499
页数:10
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