中国物理B ›› 2014, Vol. 23 ›› Issue (3): 30504-030504.doi: 10.1088/1674-1056/23/3/030504

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Periodic synchronization of community networks with non-identical nodes uncertain parameters and adaptive coupling strength

柴元a, 陈立群a b c   

  1. a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    b Department of Mechanics, Shanghai University, Shanghai 200444, China;
    c Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China
  • 收稿日期:2013-05-19 修回日期:2013-07-25 出版日期:2014-03-15 发布日期:2014-03-15
  • 基金资助:
    Project supported by the Key Program of the National Natural Science of China (Grant No. 11232009) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).

Periodic synchronization of community networks with non-identical nodes uncertain parameters and adaptive coupling strength

Chai Yuan (柴元)a, Chen Li-Qun (陈立群)a b c   

  1. a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    b Department of Mechanics, Shanghai University, Shanghai 200444, China;
    c Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China
  • Received:2013-05-19 Revised:2013-07-25 Online:2014-03-15 Published:2014-03-15
  • Contact: Chen Li-Qun E-mail:lqchen@straff.shu.edu.cn
  • Supported by:
    Project supported by the Key Program of the National Natural Science of China (Grant No. 11232009) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30106).

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摘要： In this paper, we propose a novel approach for simultaneously identifying unknown parameters and synchronizing time-delayed complex community networks with nonidentical nodes. Based on the LaSalle’s invariance principle, a criterion is established by constructing an effective control identification scheme and adjusting automatically the adaptive coupling strength. The proposed control law is applied to a complex community network which is periodically synchronized with different chaotic states. Numerical simulations are conducted to demonstrate the feasibility of the proposed method.

关键词: community networks, periodic synchronization, adaptive coupling strength, uncertain parameters

Abstract: In this paper, we propose a novel approach for simultaneously identifying unknown parameters and synchronizing time-delayed complex community networks with nonidentical nodes. Based on the LaSalle’s invariance principle, a criterion is established by constructing an effective control identification scheme and adjusting automatically the adaptive coupling strength. The proposed control law is applied to a complex community network which is periodically synchronized with different chaotic states. Numerical simulations are conducted to demonstrate the feasibility of the proposed method.

Key words: community networks, periodic synchronization, adaptive coupling strength, uncertain parameters

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Pq (Numerical simulations of chaotic systems)