中国物理B ›› 2010, Vol. 19 ›› Issue (2): 20501-020501.doi: 10.1088/1674-1056/19/2/020501
焦李成1, 吴建设1, 王晓华2
Wang Xiao-Hua(王晓华)a)b), Jiao Li-Cheng(焦李成) a)†, and Wu Jian-She(吴建设)a)
摘要: In this paper, we propose a simple model that can generate small-world network with community structure. The network is introduced as a tunable community organization with parameter r, which is directly measured by the ratio of inter- to intra-community connectivity, and a smaller r corresponds to a stronger community structure. The structure properties, including the degree distribution, clustering, the communication efficiency and modularity are also analysed for the network. In addition, by using the Kuramoto model, we investigated the phase synchronization on this network, and found that increasing the fuzziness of community structure will markedly enhance the network synchronizability; however, in an abnormal region (r ≤ 0.001), the network has even worse synchronizability than the case of isolated communities (r = 0). Furthermore, this network exhibits a remarkable synchronization behaviour in topological scales: the oscillators of high densely interconnected communities synchronize more easily, and more rapidly than the whole network.
中图分类号: (Networks and genealogical trees)