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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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    References listed on IDEAS

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    1. Arun V. Holden, 1998. "A last wave from the dying heart," Nature, Nature, vol. 392(6671), pages 20-21, March.
    2. Yuan, Guoyong & Liu, Pengwei & Shi, Jifang & Wang, Guangrui, 2023. "Dynamics and control of spiral waves under feedback derived from a moving measuring point," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    3. Francis X. Witkowski & L. Joshua Leon & Patricia A. Penkoske & Wayne R. Giles & Mark L. Spano & William L. Ditto & Arthur T. Winfree, 1998. "Spatiotemporal evolution of ventricular fibrillation," Nature, Nature, vol. 392(6671), pages 78-82, March.
    4. Li, Xueqi & Ghosh, Dibakar & Lei, Youming, 2023. "Chimera states in coupled pendulum with higher-order interaction," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    5. Guo, Shuangjian & Dai, Qionglin & Cheng, Hongyan & Li, Haihong & Xie, Fagen & Yang, Junzhong, 2018. "Spiral wave chimera in two-dimensional nonlocally coupled Fitzhugh–Nagumo systems," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 394-399.
    6. G. Filatrella & A. H. Nielsen & N. F. Pedersen, 2008. "Analysis of a power grid using a Kuramoto-like model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(4), pages 485-491, February.
    7. Shepelev, I.A. & Bukh, A.V. & Strelkova, G.I., 2022. "Anti-phase synchronization of waves in a multiplex network of van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
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