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Does the eigenratio λ2/λN represent the synchronizability of a complex network?

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【作者】 段志生； 陈关荣；

【Author】 Duan Zhi-Sheng a) and Chen Guan-Rong b) a) State Key Laboratory for Turbulence and Complex Systems,Department of Mechanics and Aerospace Engineering,College of Engineering,Peking University,Beijing 100871,China b) Department of Electronic Engineering,City University of Hong Kong,Hong Kong,SAR,China

【机构】 State Key Laboratory for Turbulence and Complex Systems,Department of Mechanics and Aerospace Engineering, College of Engineering,Peking University； Department of Electronic Engineering,City University of Hong Kong；

【摘要】 In the study of complex networks,it is commonly believed that the eigenratio λ2/λ N of the Laplacian matrix of a network represents the network synchronizability,especially for symmetric networks.This paper gives two counterexamples to show that this is not true for the case where the network has a disconnected synchronized region.Consequently,a simple answer is presented to the question of when the eigenratio λ2/λ N does represent the network synchronizability.

【Abstract】 In the study of complex networks,it is commonly believed that the eigenratio λ2/λ N of the Laplacian matrix of a network represents the network synchronizability,especially for symmetric networks.This paper gives two counterexamples to show that this is not true for the case where the network has a disconnected synchronized region.Consequently,a simple answer is presented to the question of when the eigenratio λ2/λ N does represent the network synchronizability.

【关键词】 synchronizability； synchronized region； Laplacian eigenratio； complex network；
【Key words】 synchronizability； synchronized region； Laplacian eigenratio； complex network；
【基金】 Project supported by the National Natural Science Foundation of China (Grant Nos. 60974078 and 10832006)
  • 【文献出处】 Chinese Physics B ,中国物理B , 编辑部邮箱 ,2012年08期
  • 【分类号】O157.5;O231
  • 【被引频次】1
  • 【下载频次】41
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