Enhancement of Synchronizability of the Kuramoto Model with Assortative Degree-Frequency Mixing

Jin Fan; David Hill

Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2

Research Article

Enhancement of Synchronizability of the Kuramoto Model with Assortative Degree-Frequency Mixing

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@INPROCEEDINGS{10.1007/978-3-642-02469-6_73,
    author={Jin Fan and David Hill},
    title={Enhancement of Synchronizability of the Kuramoto Model with Assortative Degree-Frequency Mixing},
    proceedings={Complex Sciences. First International Conference, Complex 2009, Shanghai, China, February 23-25, 2009, Revised Papers, Part 2},
    proceedings_a={COMPLEX PART 2},
    year={2012},
    month={5},
    keywords={synchronization Kuramoto model correlation assortative},
    doi={10.1007/978-3-642-02469-6_73}
}

Jin Fan
David Hill
Year: 2012
Enhancement of Synchronizability of the Kuramoto Model with Assortative Degree-Frequency Mixing
COMPLEX PART 2
Springer
DOI: 10.1007/978-3-642-02469-6_73

Jin Fan¹^,*, David Hill¹

1: Australian National University

*Contact email: Jin.Fan@anu.edu.au

Abstract

Assortative mixing feature is an important topological property in complex networks. In this paper, we extend degree-degree mixing feature to non-identical nodes networks. We propose the degree-frequency correlation coefficient to measure the correlations between the degree and the natural frequency of oscillators. We find that the perfect assortative degree-frequency network is quite easy to synchronize. We also investigate the synchronization of complex networks with different degree-frequency coefficient.

Keywords: synchronization Kuramoto model correlation assortative

Published: 2012-05-11

: http://dx.doi.org/10.1007/978-3-642-02469-6_73