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Random shortcuts induce phase synchronization in complex Chua systems
Authors:Wei Du-Qu  Luo Xiao-Shu and Qin Ying-Hua
Affiliation:College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 541004, China
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.
Keywords:phase synchronization  random shortcuts  Chua systems
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