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

Hao-jie Luo, Yu Xue, Mu-yang Huang, Qiang Zhang and Kun Zhang

Chaos, Solitons & Fractals, 2024, vol. 179, issue C

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.

Keywords: Spiral spin wave; 2D-Kuramoto model; Many-body interactions; Saddle-node bifurcation (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077923013048

DOI: 10.1016/j.chaos.2023.114402

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