Phase synchronization on scale-free networks with community structure |
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Authors: | Tao Zhou Ming Zhao Guanrong Chen Gang Yan Bing-Hong Wang |
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Affiliation: | 1. Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, PR China;2. Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, PR China;3. Department of Electronic Science and Technology, University of Science and Technology of China, Hefei 230026, PR China;4. Shanghai Academy of System Science, Shanghai 200093, PR China |
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Abstract: | In this Letter, we propose a growing network model that can generate scale-free networks with a tunable community strength. The community strength, C, is directly measured by the ratio of the number of external edges to that of the internal ones; a smaller C corresponds to a stronger community structure. By using the Kuramoto model, we investigated the phase synchronization on this network and found an abnormal region (C?0.002), in which the network has even worse synchronizability than the unconnected case (C=0). On the other hand, the community effect will vanish when C exceeds 0.1. Between these two extreme regions, a stronger community structure will hinder global synchronization. |
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Keywords: | 89.75.Hc 05.45.Xt |
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