82 citations · 552 across the 32 of their papers we have counts for
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math.DS2018★ 38 cited
Bifurcations in the Kuramoto model on graphs
Hayato Chiba, Georgi S. Medvedev, Matthew S. Mizuhara
In his classical work, Kuramoto analytically described the onset of synchronization in all-to-all coupled networks of phase oscillators with random intrinsic frequencies. Specifica…
math.DS2018★ 54 cited
The continuum limit of the Kuramoto model on sparse random graphs
Georgi S. Medvedev
In this paper, we study convergence of coupled dynamical systems on convergent sequences of graphs to a continuum limit. We show that the solutions of the initial value problem for…