239 citations · 1.1k across the 28 of their papers we have counts for
28 papers
Nonuniversal large-size asymptotics of the Lyapunov exponent in turbulent globally coupled maps
David Velasco, Juan M. López, Diego Pazó
Globally coupled maps (GCMs) are prototypical examples of high-dimensional dynamical systems. Interestingly, GCMs formed by an ensemble of weakly coupled identical chaotic units ge…
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…
Diverging fluctuations of the Lyapunov exponents
Diego Pazo, Juan M. Lopez, Antonio Politi
We show that in generic one-dimensional Hamiltonian lattices the diffusion coefficient of the maximum Lyapunov exponent diverges in the thermodynamic limit. We trace this back to t…