中国物理B ›› 2012, Vol. 21 ›› Issue (1): 10504-010504.doi: 10.1088/1674-1056/21/1/010504

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Impulsive synchronization of a nonlinear coupled complex network with a delay node

康玉红1, 孙文2, 陈忠2   

  1. (1)School of Foreign Studies, Yangtze University, Jingzhou 434023, China; (2)School of Information and Mathematics, Yangtze University, Jingzhou 434023, China
  • 收稿日期:2011-05-31 修回日期:2011-07-24 出版日期:2012-01-15 发布日期:2012-01-20
  • 基金资助:
    Project supported by the Young Project of Hubei Provincial Department of Education, China (Grant No. Q20111309) and the Key Program of Hubei Provincial Department of Education, China (Grant No. D20101304).

Impulsive synchronization of a nonlinear coupled complex network with a delay node

Sun Wen (孙文)a)†, Chen Zhong(陈忠) a), and Kang Yu-Hong(康玉红)b)   

  1. a School of Information and Mathematics, Yangtze University, Jingzhou 434023, China; b School of Foreign Studies, Yangtze University, Jingzhou 434023, China
  • Received:2011-05-31 Revised:2011-07-24 Online:2012-01-15 Published:2012-01-20
  • Supported by:
    Project supported by the Young Project of Hubei Provincial Department of Education, China (Grant No. Q20111309) and the Key Program of Hubei Provincial Department of Education, China (Grant No. D20101304).

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摘要： We investigate the impulsive synchronization of a nonlinear coupled complex network with a delay node. Both delay coupling and non-delay coupling, as well as the symmetrical coupling matrix and the asymmetrical coupling matrix are considered. Based on the comparison theorem of an impulsive differential system, some novel synchronization criteria are derived. Finally, numerical simulations demonstrate the effectiveness of the proposed synchronization criteria.

关键词: complex network, impulsive control, synchronization, nonlinear coupled

Abstract: We investigate the impulsive synchronization of a nonlinear coupled complex network with a delay node. Both delay coupling and non-delay coupling, as well as the symmetrical coupling matrix and the asymmetrical coupling matrix are considered. Based on the comparison theorem of an impulsive differential system, some novel synchronization criteria are derived. Finally, numerical simulations demonstrate the effectiveness of the proposed synchronization criteria.

Key words: complex network, impulsive control, synchronization, nonlinear coupled

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Gg (Control of chaos, applications of chaos)