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Penrose method for Kuramoto model with inertia and noise

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  • Alexandrov, Artem
  • Gorsky, Alexander

Abstract

Using the Penrose method of instability analysis, we consider the synchronization transition in the Kuramoto model with inertia and noise with all-to-all couplings. Analyzing the Penrose curves, we identify the appearance of cluster and chimera states in the presence of noise. We observe that noise can destroy chimera and biclusters states. The critical coupling describing bifurcation from incoherent to coherent state is found analytically. To confirm our propositions based on the Penrose method, we perform numerical simulations.

Suggested Citation

  • Alexandrov, Artem & Gorsky, Alexander, 2024. "Penrose method for Kuramoto model with inertia and noise," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    • Handle: RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004909
    DOI: 10.1016/j.chaos.2024.114938
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    References listed on IDEAS

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    1. Alexandrov, Artem, 2023. "Synchronization on star graph with noise," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
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