349 citations · 354 across the 2 of their papers we have counts for
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The Winfree model with non-infinitesimal phase-response curve: Ott-Antonsen theory
Diego Pazó, Rafael Gallego
A novel generalization of the Winfree model of globally coupled phase oscillators, representing phase reduction under finite coupling, is studied analytically. We consider interact…
Quasi phase reduction of all-to-all strongly coupled oscillators near incoherent states
Iván León, Diego Pazó
The dynamics of an ensemble of weakly coupled limit-cycle oscillators can be captured by their phases using standard phase reduction techniques. However, it is a phenomenol…
Dynamics of a large system of spiking neurons with synaptic delay
Federico Devalle, Ernest Montbrió, Diego Pazó
We analyze a large system of heterogeneous quadratic integrate-and-fire (QIF) neurons with time delayed, all-to-all synaptic coupling. The model is exactly reduced to a system of f…
The Winfree model with heterogeneous phase-response curves: Analytical results
Diego Pazó, Ernest Montbrió, Rafael Gallego
We study an extension of the Winfree model of coupled phase oscillators in which both natural frequencies and phase-response curves (PRCs) are heterogeneous. In the first part of t…