239 citations · 1.1k across the 28 of their papers we have counts for
9 papers · 1 filter
Comment on "The Winfree model with non-infinitesimal phase-response curve: Ott-Antonsen theory" [Chaos 30, 073139 (2020)]
Diego Pazó, Rafael Gallego
In a recent paper [Chaos 30, 073139 (2020)] we analyzed an extension of the Winfree model with nonlinear interactions. The nonlinear coupling function Q was mistakenly identified w…
Phase reduction beyond the first order: the case of the mean-field complex Ginzburg-Landau equation
Iván León, Diego Pazó
Phase reduction is a powerful technique that makes possible describe the dynamics of a weakly perturbed limit-cycle oscillator in terms of its phase. For ensembles of oscillators,…
Kuramoto model for excitation-inhibition-based oscillations
Ernest Montbrió, Diego Pazó
The Kuramoto model (KM) is a theoretical paradigm for investigating the emergence of rhythmic activity in large populations of oscillators. A remarkable example of rhythmogenesis i…
Synchronization scenarios in the Winfree model of coupled oscillators
Rafael Gallego, Ernest Montbrió, Diego Pazó
The emergence of collective synchronization was reproduced long ago by Winfree in a classical model consisting of an ensemble of pulse-coupled phase oscillators. By means of the Ot…
Shear diversity prevents collective synchronization
Ernest Montbrió, Diego Pazó
Large ensembles of heterogeneous oscillators often exhibit collective synchronization as a result of mutual interactions. If the oscillators have distributed natural frequencies an…
Existence of hysteresis in the Kuramoto model with bimodal frequency distributions
Diego Pazó, Ernest Montbrió
We investigate the transition to synchronization in the Kuramoto model with bimodal distributions of the natural frequencies. Previous studies have concluded that the model exhibit…