| Does the eigenratio λ<sub>2</sub>/λ<sub>N</sub> represent the synchronizability of a complex network? |
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| 引用本文： | 段志生,;陈关荣.Does the eigenratio λ2/λN represent the synchronizability of a complex network?[J].中国物理 B,2012(8):107-111. |
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| 作者姓名： | 段志生 ;陈关荣 |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos. 60974078 and 10832006) |
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| 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.
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| 关 键 词： | synchronizability synchronized region Laplacian eigenratio complex network |
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