中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50509-050509.doi: 10.1088/1674-1056/21/5/050509

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Synchronization of impulsively coupled complex networks

孙文1,陈忠1,陈士华2   

  1. 1. School of Information and Mathematics, Yangtze University, Jingzhou 434023, China;
    2. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • 收稿日期:2011-08-23 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
  • 基金资助:
    Project supported by the Young Scientists Fund of the National Natural Sciene Foundation of China (Grant No. Q20111309) and the Key Program of Education Department of Hubei Province, China (Grant No. D20101304).

Synchronization of impulsively coupled complex networks

Sun Wen(孙文)a)†, Chen Zhong(陈忠) a), and Chen Shi-Hua(陈士华)b)   

  1. a. School of Information and Mathematics, Yangtze University, Jingzhou 434023, China;
    b. School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
  • Received:2011-08-23 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
  • Supported by:
    Project supported by the Young Scientists Fund of the National Natural Sciene Foundation of China (Grant No. Q20111309) and the Key Program of Education Department of Hubei Province, China (Grant No. D20101304).

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摘要： We investigate the synchronization of complex networks, which are impulsively coupled only at discrete instants. Based on the comparison theory of impulsive differential systems, a distributed impulsive control scheme is proposed for complex dynamical networks to achieve synchronization. The proposed scheme not only takes into account the influence of all nodes to network synchronization, which depends on the weight of each node in the network, but also provides us with a flexible method to select the synchronized state of the network. In addition, it is unnecessary for the impulsive coupling matrix to be symmetrical. Finally, the proposed control scheme is applied to a chaotic Lorenz network and Chua's circuit network. Numerical simulations are used to illustrate the validity of this control scheme.

关键词: complex network, impulsive control scheme, synchronization

Abstract: We investigate the synchronization of complex networks, which are impulsively coupled only at discrete instants. Based on the comparison theory of impulsive differential systems, a distributed impulsive control scheme is proposed for complex dynamical networks to achieve synchronization. The proposed scheme not only takes into account the influence of all nodes to network synchronization, which depends on the weight of each node in the network, but also provides us with a flexible method to select the synchronized state of the network. In addition, it is unnecessary for the impulsive coupling matrix to be symmetrical. Finally, the proposed control scheme is applied to a chaotic Lorenz network and Chua's circuit network. Numerical simulations are used to illustrate the validity of this control scheme.

Key words: complex network, impulsive control scheme, synchronization

中图分类号:  (Synchronization; coupled oscillators)

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89.75.-k (Complex systems)