Phase synchronization on small-world networks with community structure |
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| Authors: | Wang Xiao-Hu Jiao Li-Cheng Wu Jian-She |
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| Affiliation: | Key Laboratory of Intelligent Perception and Image Understanding of Ministry of Education of China, Xidian University, Xi'an 710071, China; Aeronautical Computing Technique Research Institute, Xi'an 710068, China |
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| Abstract: | In this paper, we propose a simple model that can generatesmall-world network with community structure. The network isintroduced as a tunable community organization with parameter r,which is directly measured by the ratio of inter- to intra-communityconnectivity, and a smaller r corresponds to a stronger communitystructure. The structure properties, including the degreedistribution, clustering, the communication efficiency andmodularity are also analysed for the network. In addition, by usingthe Kuramoto model, we investigated the phase synchronization onthis network, and found that increasing the fuzziness of communitystructure will markedly enhance the network synchronizability;however, in an abnormal region (r ≤ 0.001), the network has evenworse synchronizability than the case of isolated communities (r =0). Furthermore, this network exhibits a remarkablesynchronization behaviour in topological scales: the oscillators ofhigh densely interconnected communities synchronize more easily, andmore rapidly than the whole network. |
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| Keywords: | complex networks small-world community structure phasesynchronization |
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