An introduction to the Kuramoto model for synchronization – Debota Amadori (universita’ de L’Aquila)


Sala Seminari (Dip. Matematica).


We consider the Kuramoto model, originally proposed to describe a set of N oscillators coupled through their phase, and its kinetic version obtained in the mean-field limit. After a review of the basic properties of the discrete system, we will address some results from the literature about the large-time behavior of solutions for the kinetic equation. In the case of identical oscillators, a full description is available ([1]). For the case of non-identical oscillators, sufficient conditions lead to the phase concentration (see for instance [2]). [1] Benedetto, Caglioti, Montemagno. CMS 2015 [2] Ha, Kim, Morales, Park. Preprint 2016

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