Calculus of Variations and Geometric Measure Theory
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An introduction to the Kuramoto model for synchronization

Debora Amadori

created by gelli on 22 Mar 2017

5 apr 2017 -- 17:00   [open in google calendar]

Sala Seminari (Dipartimento di Matematica di Pisa)

Abstract.

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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