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Phase Transition of Active Rotators in Complex Networks

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Complex Sciences (Complex 2009)

Abstract

We study the nonequilibrium phenomena of a coupled active rotator model in complex networks. From a numerical Langevin simulation, we find the peculiar phase transition not only on globally connected network but also on other complex networks and reveal the corresponding phase diagram. In this model, two phases — stationary and quasi-periodic moving phases — are observed, in which microscopic dynamics are thoroughly investigated. We extend our study to the non-identical oscillators and the more heterogeneous degree distribution of complex networks.

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

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Son, SW., Jeong, H., Hong, H. (2009). Phase Transition of Active Rotators in Complex Networks. In: Zhou, J. (eds) Complex Sciences. Complex 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-02466-5_22

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  • DOI: https://doi.org/10.1007/978-3-642-02466-5_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-02465-8

  • Online ISBN: 978-3-642-02466-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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