5 apr 2017 -- 17:00 [open in google calendar]
Sala Seminari (Dipartimento di Matematica di Pisa)
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