349 citations · 677 across the 11 of their papers we have counts for
11 papers
Exact mean-field theory explains the dual role of electrical synapses in collective synchronization
Ernest Montbrió, Diego Pazó
Electrical synapses play a major role in setting up neuronal synchronization, but the precise mechanisms whereby these synapses contribute to synchrony are subtle and remain elusiv…
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…
The Probabilistic Backbone of Data-Driven Complex Networks: An example in Climate
Catharina Graafland, José M. Gutiérrez, Juan M. López +2
Correlation Networks (CNs) inherently suffer from redundant information in their network topology. Bayesian Networks (BNs), on the other hand, include only non-redundant informatio…
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…
Macroscopic description for networks of spiking neurons
Ernest Montbrió, Diego Pazó, Alex Roxin
A major goal of neuroscience, statistical physics and nonlinear dynamics is to understand how brain function arises from the collective dynamics of networks of spiking neurons. Thi…
Low-dimensional dynamics of populations of pulse-coupled oscillators
Diego Pazó, Ernest Montbrió
Large communities of biological oscillators show a prevalent tendency to self-organize in time. This cooperative phenomenon inspired Winfree to formulate a mathematical model that…
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…
Maximizing the statistical diversity of an ensemble of bred vectors by using the geometric norm
Diego Pazó, Miguel A. Rodríguez, Juan M. López
We show that the choice of the norm has a great impact on the construction of ensembles of bred vectors. The geometric norm maximizes (in comparison with other norms like the Eucli…
Stability of an [N/2]-dimensional invariant torus in the Kuramoto model at small coupling
Hayato Chiba, Diego Pazó
When the natural frequencies are allocated symmetrically in the Kuramoto model there exists an invariant torus of dimension [N/2]+1 (N is the population size). A global phase shift…