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

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• 作者：Yongzheng Sun ; Zhicai Ma ; Feng Liu ; Jie Wu
• 关键词：Complex network ; Synchronization ; Time delay
• 刊名：Nonlinear Dynamics
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：86
• 期：1
• 页码：489-499
• 全文大小：776 KB
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X
• 卷排序：86

文摘

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.