Modular Synchronization in Complex Network with a Gauge Kuramoto Model

Chulho Choi; Eulsik Oh; Byungnam Kahng; Doochul Kim

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.

Keywords: synchronization module identification modular complex network Kuramoto model

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02466-5_41