中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2184-2187.doi: 10.1088/1674-1056/18/6/012

• GENERAL • 上一篇    下一篇

Random shortcuts induce phase synchronization in complex Chua systems

韦笃取, 罗晓曙, 覃英华   

  1. College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 541004, China
  • 收稿日期:2008-11-14 修回日期:2008-12-19 出版日期:2009-06-20 发布日期:2009-06-20

Random shortcuts induce phase synchronization in complex Chua systems

Wei Du-Qu(韦笃取), Luo Xiao-Shu(罗晓曙)†, and Qin Ying-Hua(覃英华)   

  1. College of Physics and Electronic Engineering, Guangxi Normal University, Guilin 541004, China
  • Received:2008-11-14 Revised:2008-12-19 Online:2009-06-20 Published:2009-06-20

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摘要： 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.

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.

Key words: phase synchronization, random shortcuts, Chua systems

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 89.75.Hc (Networks and genealogical trees)