368 citations · 558 across the 22 of their papers we have counts for
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math-ph2014★ 22 cited
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…
math-ph2014
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…