Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevE.77.046211
Title: Transition to global synchronization in clustered networks
Authors: Guan, S. 
Wang, X. 
Lai, Y.-C.
Lai, C.-H. 
Issue Date: 15-Apr-2008
Source: Guan, S., Wang, X., Lai, Y.-C., Lai, C.-H. (2008-04-15). Transition to global synchronization in clustered networks. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 77 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevE.77.046211
Abstract: A clustered network is characterized by a number of distinct sparsely linked subnetworks (clusters), each with dense internal connections. Such networks are relevant to biological, social, and certain technological networked systems. For a clustered network the occurrence of global synchronization, in which nodes from different clusters are synchronized, is of interest. We consider Kuramoto-type dynamics and obtain an analytic formula relating the critical coupling strength required for global synchronization to the probabilities of intracluster and intercluster connections, and provide numerical verification. Our work also provides direct support for a previous spectral-analysis-based result concerning the role of random intercluster links in enhancing the synchronizability of a clustered network. © 2008 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
URI: http://scholarbank.nus.edu.sg/handle/10635/116009
ISSN: 15393755
DOI: 10.1103/PhysRevE.77.046211
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