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Dynamics in the Sakaguchi-Kuramoto model with bimodal frequency distribution

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  • Shuangjian Guo
  • Yuan Xie
  • Qionglin Dai
  • Haihong Li
  • Junzhong Yang

Abstract

In this work, we study the Sakaguchi-Kuramoto model with natural frequency following a bimodal distribution. By using Ott-Antonsen ansatz, we reduce the globally coupled phase oscillators to low dimensional coupled ordinary differential equations. For symmetrical bimodal frequency distribution, we analyze the stabilities of the incoherent state and different partial synchronous states. Different types of bifurcations are identified and the effect of the phase lag on the dynamics is investigated. For asymmetrical bimodal frequency distribution, we observe the revival of the incoherent state, and then the conditions for the revival are specified.

Suggested Citation

  • Shuangjian Guo & Yuan Xie & Qionglin Dai & Haihong Li & Junzhong Yang, 2020. "Dynamics in the Sakaguchi-Kuramoto model with bimodal frequency distribution," PLOS ONE, Public Library of Science, vol. 15(12), pages 1-13, December.
    • Handle: RePEc:plo:pone00:0243196
    DOI: 10.1371/journal.pone.0243196
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