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arXiv · 2210.05011

Density of instantaneous frequencies in the Kuramoto-Sakaguchi model

Julio D. da Fonseca·Edson D. Leonel·Rene O. Medrano-T
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Abstract

We obtain a formula for the statistical distribution of instantaneous frequencies in the Kuramoto-Sakaguchi model. This work is based on the Kuramoto-Sakaguchi's theory of globally coupled phase oscillators, which we review in full detail by discussing its assumptions and showing all steps behind the derivation of its main results. Our formula is a stationary probability density function with a complex mathematical structure, is consistent with numerical simulations and gives a description of the stationary collective states of the Kuramoto-Sakaguchi model.

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Julio D. da Fonseca, Edson D. Leonel, Rene O. Medrano-T. 2022-10-10. Density of instantaneous frequencies in the Kuramoto-Sakaguchi model. https://doi.org/10.1016/j.chaos.2023.113553

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