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Chin. Phys. B, 2009, Vol. 18(4): 1404-1408    DOI: 10.1088/1674-1056/18/4/020
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Synchronization of time-delay chaotic systems on small-world networks with delayed coupling

Qi Wei(祁伟) and Wang Ying-Hai (汪映海)
Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China
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.
Keywords:  chaotic attractor      Ikeda model      scale-free network  
Received:  18 October 2008      Revised:  07 November 2008      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Vx (Communication using chaos)  
Fund: 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.

Cite this article: 

Qi Wei(祁伟) and Wang Ying-Hai (汪映海) Synchronization of time-delay chaotic systems on small-world networks with delayed coupling 2009 Chin. Phys. B 18 1404

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