231 citations · 909 across the 14 of their papers we have counts for
8 papers · 1 filter
Kuramoto model for populations of quadratic integrate-and-fire neurons with chemical and electrical coupling
Pau Clusella, Bastian Pietras, Ernest Montbrió
We derive the Kuramoto model (KM) corresponding to a population of weakly coupled, nearly identical quadratic integrate-and-fire (QIF) neurons with both electrical and chemical cou…
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…
Time delay in the Kuramoto model with bimodal frequency distribution
Ernest Montbrio, Diego Pazo, Juergen Schmidt
We investigate the effects of a time-delayed all-to-all coupling scheme in a large population of oscillators with natural frequencies following a bimodal distribution. The regions…