21 citations · 54 across the 6 of their papers we have counts for
6 papers
Dynamics and chaotic properties of the fully disordered Kuramoto model
Iván León, Diego Pazó
Frustrated random interactions are a key ingredient of spin glasses. From this perspective, we study the dynamics of the Kuramoto model with quenched random couplings: the simplest…
Low Dimensional Dynamics of Globally Coupled Complex Riccati Equations: Exact Firing-rate Equations for Spiking Neurons with Clustered Substructure
Diego Pazó, Rok Cestnik
We report on an exact theory for ensembles of globally coupled, heterogeneous complex Riccati equations. A drastic dimensionality reduction to a few ordinary differential equations…
Volcano transition in populations of phase oscillators with random nonreciprocal interactions
Diego Pazó, Rafael Gallego
Populations of heterogeneous phase oscillators with frustrated random interactions exhibit a quasi-glassy state in which the distribution of local fields is volcano-shaped. In a re…
Efficient moment-based approach to the simulation of infinitely many heterogeneous phase oscillators
Iván León, Diego Pazó
The dynamics of ensembles of phase oscillators are usually described considering their infinite-size limit. In practice, however, this limit is fully accessible only if the Ott-Ant…
Enlarged Kuramoto Model: Secondary Instability and Transition to Collective Chaos
Iván León, Diego Pazó
The emergence of collective synchrony from an incoherent state is a phenomenon essentially described by the Kuramoto model. This canonical model was derived perturbatively, by appl…
Data-assimilation by delay-coordinate nudging
D. Pazó, A. Carrassi, J. M. López
A new nudging method for data assimilation, delay-coordinate nudging, is presented. Delay-coordinate nudging makes explicit use of present and past observations in the formulation…