82 citations · 552 across the 32 of their papers we have counts for
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math.DS2017★ 2 cited
The mean field analysis of the Kuramoto model on graphs II. Asymptotic stability of the incoherent state, center manifold reduction, and bifurcations
Hayato Chiba, Georgi S. Medvedev
In our previous work [Chiba, Medvedev, arXiv:1612.06493], we initiated a mathematical investigation of the onset of synchronization in the Kuramoto model (KM) of coupled phase osci…
math.DS2017
The mean field equation for the Kuramoto model on graph sequences with non-Lipschitz limit
Dmitry Kaliuzhnyi-Verbovetskyi, Georgi S. Medvedev
The Kuramoto model (KM) of coupled phase oscillators on graphs provides the most influential framework for studying collective dynamics and synchronization. It exhibits a rich repe…