Synchronization on star graph with noise
arXiv:2204.05581 · doi:10.1016/j.chaos.2022.113056
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.
arXiv commentTwo minor typos were fixed
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