45 citations · 105 across the 4 of their papers we have counts for
4 papers
Universality in the spectral and eigenfunction properties of random networks
J. A. Mendez-Bermudez, A. Alcazar-Lopez, A. J. Martinez-Mendoza +2
By the use of extensive numerical simulations we show that the nearest-neighbor energy level spacing distribution and the entropic eigenfunction localization length of the a…
Cooperative behavior between oscillatory and excitable units: the peculiar role of positive coupling-frequency correlations
Bernard Sonnenschein, Thomas K. DM. Peron, Francisco A. Rodrigues +2
We study the collective dynamics of noise-driven excitable elements, so-called active rotators. Crucially here, the natural frequencies and the individual coupling strengths are dr…
Low-dimensional behavior of Kuramoto model with inertia in complex networks
Peng Ji, Thomas K. DM. Peron, Francisco A. Rodrigues +1
Low-dimensional behavior of large systems of globally coupled oscillators has been intensively investigated since the introduction of the Ott-Antonsen ansatz. In this report, we ge…
Determining the critical coupling of explosive synchronization transitions in scale-free networks by mean-field approximations
Thomas Kauê Dal'Maso Peron, Francisco Aparecido Rodrigues
Explosive synchronization can be observed in scale-free networks when Kuramoto oscillators have natural frequencies equal to their number of connections. In the current work, we to…