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

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Complex Sciences (Complex 2009)

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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.

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Author information

Authors and Affiliations

  1. Australian National University, Canberra ACT, 0200, Australia

    Jin Fan & David J. Hill

Authors
  1. Jin Fan
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  2. David J. Hill
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Editor information

Editors and Affiliations

  1. Network Technology Research Centre, Research Techno Plaza, Nanyang Technology University, 4th story X‘Frontiers, Block 50 Nanyang Drive, 637553, Singapore

    Jie Zhou

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© 2009 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering

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Fan, J., Hill, D.J. (2009). Enhancement of Synchronizability of the Kuramoto Model with Assortative Degree-Frequency Mixing. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02469-6_73

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  • DOI: https://doi.org/10.1007/978-3-642-02469-6_73

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02468-9

  • Online ISBN: 978-3-642-02469-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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