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
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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