Generation of lag outer synchronization of complex networks with noise coupling

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• 作者：Hongjun Shi (1)
  Yongzheng Sun (1)
  Lianying Miao (1)
  
  1. School of Science ; China University of Mining and Technology ; Xuzhou ; 221008 ; People鈥檚 Republic of China
  
• 关键词：Lag outer synchronization ; Complex networks ; Noise coupling
• 刊名：Nonlinear Dynamics
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：79
• 期：2
• 页码：1131-1140
• 全文大小：1,747 KB
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• 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

文摘

In this paper, we investigate the lag outer synchronization problem of complex dynamical networks with noise coupling. Based on the stability theory of stochastic differential equations, we obtain the sufficient conditions for the lag outer synchronization. The theoretical results show that the lag outer synchronization could be achieved only via white noise-based coupling. Furthermore, we show that noise can also be used to enhance the lag outer synchronization between two networks when two networks have both conventional linear coupling and white noise-based coupling. Finally, numerical simulations are presented to demonstrate the effectiveness of the theoretical results.