Abstract This paper studies how phase synchronization in complex networks depends on random shortcuts, using the piecewise-continuous chaotic Chua system as the nodes of the networks. It is found that for a given coupling strength, when the number of random shortcuts is greater than a threshold the phase synchronization is induced. Phase synchronization becomes evident and reaches its maximum as the number of random shortcuts is further increased. These phenomena imply that random shortcuts can induce and enhance the phase synchronization in complex Chua systems. Furthermore, the paper also investigates the effects of the coupling strength and it is found that stronger coupling makes it easier to obtain the complete phase synchronization.
Received: 14 November 2008
Revised: 19 December 2008
Accepted manuscript online:
Wei Du-Qu(韦笃取), Luo Xiao-Shu(罗晓曙), and Qin Ying-Hua(覃英华) Random shortcuts induce phase synchronization in complex Chua systems 2009 Chin. Phys. B 18 2184
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