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arXiv · 2204.05581

Synchronization on star graph with noise

Artem Alexandrov
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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.

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Artem Alexandrov. 2022-04-12. Synchronization on star graph with noise. https://doi.org/10.1016/j.chaos.2022.113056

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