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Pattern and waves on 2D-Kuramoto model with many-body interactions

Author

Listed:
  • Luo, Hao-jie
  • Xue, Yu
  • Huang, Mu-yang
  • Zhang, Qiang
  • Zhang, Kun

Abstract

In this paper, the 2D-Kuramoto model with many-body interactions is studied. The study found that a certain oscillator will generate a spiral spin wave centered on itself after a natural frequency mutation occurs. The interaction of spiral spin waves produced by multiple such oscillators will produce a new waveform. In order to analyze the cause of this spiral spin wave, we constructed a minimal model. In this minimal model, the nature of the fixed point is analyzed, and the saddle-node bifurcation will occur in the system. We describe the process of this saddle-node bifurcation in detail. Finally, it is concluded that the many-body interactions promote the generation of spiral spin waves.

Suggested Citation

  • Luo, Hao-jie & Xue, Yu & Huang, Mu-yang & Zhang, Qiang & Zhang, Kun, 2024. "Pattern and waves on 2D-Kuramoto model with many-body interactions," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    • Handle: RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077923013048
    DOI: 10.1016/j.chaos.2023.114402
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