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

Research Article

Modular Synchronization in Complex Network with a Gauge Kuramoto Model

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  • @INPROCEEDINGS{10.1007/978-3-642-02466-5_41,
        author={Chulho Choi and Eulsik Oh and Byungnam Kahng and Doochul Kim},
        title={Modular Synchronization in Complex Network with a Gauge Kuramoto Model},
        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={synchronization module identification modular complex network Kuramoto model},
        doi={10.1007/978-3-642-02466-5_41}
    }
    
  • Chulho Choi
    Eulsik Oh
    Byungnam Kahng
    Doochul Kim
    Year: 2012
    Modular Synchronization in Complex Network with a Gauge Kuramoto Model
    COMPLEX PART 1
    Springer
    DOI: 10.1007/978-3-642-02466-5_41
Chulho Choi1, Eulsik Oh, Byungnam Kahng1,*, Doochul Kim1
  • 1: Seoul National University
*Contact email: bkahng@snu.ac.kr

Abstract

We modify the Kuramoto equation(KE) by introducing a gauge term which is a function of link betweenness centrality(BC). The gauge term induces the phase difference from 0 to between two nodes that belong to different modules. Therefore, a synchronization occurs in each module individually even though the whole network is not synchronized globally. By measuring the phase similarity of all pairs of connected nodes, we can detect the modular structure of complex networks. This algorithm requires relatively little computational time () for network with nodes and links.