22 citations · 28 across the 4 of their papers we have counts for
4 papers
Synchronization modes in bipartite oscillator networks
Pau Pomés, Bastian Pietras, Ernest Montbrió
Collective oscillations in neuronal systems often arise from interactions between excitatory and inhibitory populations rather than from recurrent coupling within a single ensemble…
Low-dimensional model for adaptive networks of spiking neurons
Bastian Pietras, Pau Clusella, Ernest Montbrió
We investigate a large ensemble of Quadratic Integrate-and-Fire (QIF) neurons with heterogeneous input currents and adaptation variables. Our analysis reveals that for a specific c…
Heterogeneous populations of quadratic integrate-and-fire neurons: on the generality of Lorentzian distributions
Bastian Pietras, Ernest Montbrió
Over the last decade, next-generation neural mass models have become increasingly prominent in mathematical neuroscience. These models link microscopic dynamics with low-dimensiona…
The Kuramoto model with distributed shear
Diego Pazó, Ernest Montbrió
We uncover a solvable generalization of the Kuramoto model in which shears (or nonisochronicities) and natural frequencies are distributed and statistically dependent. We show that…