337 citations · 858 across the 6 of their papers we have counts for
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nlin.PS2008★ 337 cited
Exact Results for the Kuramoto Model with a Bimodal Frequency Distribution
E. A. Martens, E. Barreto, S. H. Strogatz +3
We analyze a large system of globally coupled phase oscillators whose natural frequencies are bimodally distributed. The dynamics of this system has been the subject of long-standi…
nlin.PS2008★ 190 cited
Stability diagram for the forced Kuramoto model
Lauren M. Childs, Steven H. Strogatz
We analyze the periodically forced Kuramoto model. This system consists of an infinite population of phase oscillators with random intrinsic frequencies, global sinusoidal coupling…
nlin.PS2007★ 122 cited
The Spectrum of the Partially Locked State for the Kuramoto Model
Renato Mirollo, Steven H. Strogatz
We solve a longstanding stability problem for the Kuramoto model of coupled oscillators. This system has attracted mathematical attention, in part because of its applications in fi…