title: Community structure revealed by phase locking.
abstract: Community structure can naturally emerge in paths to synchronization, and scratching it from the paths is a tough issue that accounts for the diverse dynamics of synchronization. In this paper, with assumption that the synchronization on complex networks is made up of local and collective processes, we proposed a scheme to lock the local synchronization (phase locking) at a stable state, meanwhile, suppress the collective synchronization based on Kuramoto model. Through this scheme, the network dynamics only contains the local synchronization, which suggests that the nodes in the same community synchronize together and these synchronization clusters well reveal the community structure of network. Furthermore, by analyzing the paths to synchronization, the relations or overlaps among different communities are also obtained. Thus, the community detection based on the scheme is performed on five real networks and the observed community structures are much more apparent than modularity-based fast algorithm. Our results not only provide a deep insight to understand the synchronization dynamics on complex network but also enlarge the research scope of community detection.
authors.affiliation: Department of Electronic Science and Technology, University of Science and Technology of China, Hefei 230027, People's Republic of China.
authors.forename: Ming-Yang
authors.initials: MY
authors.lastname: Zhou
authors.affiliation: Department of Electronic Science and Technology, University of Science and Technology of China, Hefei 230027, People's Republic of China.
authors.forename: Zhao
authors.initials: Z
authors.lastname: Zhuo
authors.affiliation: Web Sciences Center, School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 611731, People's Republic of China.
authors.forename: Shi-min
authors.initials: SM
authors.lastname: Cai
authors.affiliation: Department of Electronic Science and Technology, University of Science and Technology of China, Hefei 230027, People's Republic of China.
authors.forename: Zhongqian
authors.initials: Z
authors.lastname: Fu