207 citations · 425 across the 7 of their papers we have counts for
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cond-mat.stat-mech2007★ 7 cited
Dynamical Phase Transitions In Driven Integrate-And-Fire Neurons
Jan R. Engelbrecht, Renato Mirollo
We explore the dynamics of an integrate-and-fire neuron with an oscillatory stimulus. The frustration due to the competition between the neuron's natural firing period and that of…
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…