Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1

Research Article

Synchronization in Complex Networks with Different Sort of Communities

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_92,
        author={Ming Zhao and Tao Zhou and Hui-Jie Yang and Gang Yan and Bing-Hong Wang},
        title={Synchronization in Complex Networks with Different Sort of Communities},
        proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009. Revised Papers, Part 1},
        proceedings_a={COMPLEX PART 1},
        year={2012},
        month={5},
        keywords={complex network community structure synchronization},
        doi={10.1007/978-3-642-02466-5_92}
    }
    
  • Ming Zhao
    Tao Zhou
    Hui-Jie Yang
    Gang Yan
    Bing-Hong Wang
    Year: 2012
    Synchronization in Complex Networks with Different Sort of Communities
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_92
Ming Zhao1,*, Tao Zhou1, Hui-Jie Yang1, Gang Yan1, Bing-Hong Wang1
  • 1: University of Science and Technology of China
*Contact email: zhaom17@mail.ustc.edu.cn

Abstract

In this paper, inspired by the idea that many real networks are composed by sorts of communities, we investigate the synchronization property of oscillators on such community networks. We identify the communities by two ways, one is by the structure of individual community and the other by the intrinsic frequencies probability density () of Kuramoto oscillators on different communities. For the two sorts of community networks, when the community structure is strong, only the oscillators on the same community synchronize. With the weakening of the community strength, an interesting phenomenon appears: although the global synchronization is not achieved, oscillators on the same sort of communities will synchronize independently. Global synchronization will appear with the further weakening of community structure.