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.
Received: 18 October 2008
Revised: 07 November 2008
Accepted manuscript online:
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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