Synchronization on star graph with noise

Artem Alexandrov

Chaos, Solitons & Fractals, 2023, vol. 167, issue C

Abstract: We investigate synchronization in the Kuramoto model with noise on a star graph. By revising the case of a complete graph, we propose a closed form of self-consistency equation for the conventional order parameter and generalize it for a star graph. Using the obtained self-consistency equation, we demonstrate that there is a crossover between the abrupt synchronization at small noise and the continuous phase transition for quite large noise. We probe this crossover numerically and analytically.

Keywords: Synchronization; Phase transition; Kuramoto model; Fokker–Planck equation (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:167:y:2023:i:c:s0960077922012358

DOI: 10.1016/j.chaos.2022.113056

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