中国物理B ›› 2009, Vol. 18 ›› Issue (4): 1404-1408.doi: 10.1088/1674-1056/18/4/020

• GENERAL • 上一篇    下一篇

Synchronization of time-delay chaotic systems on small-world networks with delayed coupling

祁伟, 汪映海   

  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • 收稿日期:2008-10-18 修回日期:2008-11-07 出版日期:2009-04-20 发布日期:2009-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10775060), and in part by Doctoral Education Foundation of the Education Department of China and the Natural Science Foundation of Gansu Province.

Synchronization of time-delay chaotic systems on small-world networks with delayed coupling

Qi Wei(祁伟) and Wang Ying-Hai (汪映海)†   

  1. Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
  • Received:2008-10-18 Revised:2008-11-07 Online:2009-04-20 Published:2009-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10775060), and in part by Doctoral Education Foundation of the Education Department of China and the Natural Science Foundation of Gansu Province.

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摘要： By using the well-known Ikeda model as the node dynamics, this paper studies synchronization of time-delay systems on small-world networks where the connections between units involve time delays. It shows that, in contrast with the undelayed case, networks with delays can actually synchronize more easily. Specifically, for randomly distributed delays, time-delayed mutual coupling suppresses the chaotic behaviour by stabilizing a fixed point that is unstable for the uncoupled dynamical system.

Abstract: By using the well-known Ikeda model as the node dynamics, this paper studies synchronization of time-delay systems on small-world networks where the connections between units involve time delays. It shows that, in contrast with the undelayed case, networks with delays can actually synchronize more easily. Specifically, for randomly distributed delays, time-delayed mutual coupling suppresses the chaotic behaviour by stabilizing a fixed point that is unstable for the uncoupled dynamical system.

Key words: chaotic attractor, Ikeda model, scale-free network

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.45.Vx (Communication using chaos)