中国物理B ›› 2012, Vol. 21 ›› Issue (11): 110506-110506.doi: 10.1088/1674-1056/21/11/110506

• GENERAL • 上一篇    下一篇

Cluster projective synchronization of complex networks with nonidentical dynamical nodes

姚洪兴a b, 王树国b c   

  1. a School of Finance & Economics, Jiangsu University, Zhenjiang 212013, China;
    b Faculty of Science, Jiangsu University, Zhenjiang 212013, China;
    c Department of Mathematics and Physics, Changzhou Campus Hohai University, Changzhou 213022, China
  • 收稿日期:2012-02-16 修回日期:2012-05-20 出版日期:2012-10-01 发布日期:2012-10-01
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 70871056 and 71271103) and the Six Talents Peak Foundation of Jiangsu Province, China.

Cluster projective synchronization of complex networks with nonidentical dynamical nodes

Yao Hong-Xing (姚洪兴)a b, Wang Shu-Guo (王树国 )b c   

  1. a School of Finance & Economics, Jiangsu University, Zhenjiang 212013, China;
    b Faculty of Science, Jiangsu University, Zhenjiang 212013, China;
    c Department of Mathematics and Physics, Changzhou Campus Hohai University, Changzhou 213022, China
  • Received:2012-02-16 Revised:2012-05-20 Online:2012-10-01 Published:2012-10-01
  • Contact: Yao Hong-Xing E-mail:hxyao@ujs.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 70871056 and 71271103) and the Six Talents Peak Foundation of Jiangsu Province, China.

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摘要： We investigate a new cluster projective synchronization (CPS) scheme in the time-varying delay coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently for the nodes in one community which have direct connections to the nodes in the other communities and the nodes without direct connections to the nodes in the other communities. Some sufficient criteria are derived to ensure the nodes in the same group projective synchronize and there is also projective synchronization between nodes in different groups. Particularly, the weight configuration matrix is not assumed to be symmetric or irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.

关键词: cluster projective synchronization, complex network, time-varying delay adaptive controller

Abstract: We investigate a new cluster projective synchronization (CPS) scheme in the time-varying delay coupled complex dynamical networks with nonidentical nodes. Based on the community structure of the networks, the controllers are designed differently for the nodes in one community which have direct connections to the nodes in the other communities and the nodes without direct connections to the nodes in the other communities. Some sufficient criteria are derived to ensure the nodes in the same group projective synchronize and there is also projective synchronization between nodes in different groups. Particularly, the weight configuration matrix is not assumed to be symmetric or irreducible. The numerical simulations are performed to verify the effectiveness of the theoretical results.

Key words: cluster projective synchronization, complex network, time-varying delay adaptive controller

中图分类号:  (Synchronization; coupled oscillators)

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