Penrose method for Kuramoto model with inertia and noise

Artem Alexandrov and Alexander Gorsky

Chaos, Solitons & Fractals, 2024, vol. 183, issue C

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.

Keywords: Synchronization; Kuramoto model; Noise; Bifurcations; Phase transitions; Graphons (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004909

DOI: 10.1016/j.chaos.2024.114938

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