368 citations · 839 across the 38 of their papers we have counts for
4 papers · 1 filter
Exponential dephasing of oscillators in the Kinetic Kuramoto Model
Dario Benedetto, Emanuele Caglioti, Umberto Montemagno
We study the kinetic Kuramoto model for coupled oscillators with coupling constant below the synchronization threshold. We manage to prove that, for any analytic initial datum, if…
A gradient flow approach to quantization of measures
Emanuele Caglioti, François Golse, Mikaela Iacobelli
In this paper we study a gradient flow approach to the problem of quantization of measures in one dimension. By embedding our problem in , we find a continuous version of it t…
Dephasing of Kuramoto oscillators in kinetic regime towards a fixed asymptotically free state
Dario Benedetto, Emanuele Caglioti, Umberto Montemagno
We study the kinetic Kuramoto model for coupled oscillators. We prove that for any regular asymptotically free state, if the interaction is small enough, it exists a solution which…
On the complete phase synchronization for the Kuramoto model in the mean-field limit
Dario Benedetto, Emanuele Caglioti, Umberto Montemagno
We study the Kuramoto model for coupled oscillators. For the case of identical natural frequencies, we give a new proof of the complete frequency synchronization for all initial da…