113 citations · 490 across the 12 of their papers we have counts for
3 papers · 1 filter
Mechanisms of synchronization and pattern formation in a lattice of pulse-coupled oscillators
Albert Diaz-Guilera, Conrad J. Perez, Alex Arenas
We analyze the physical mechanisms leading either to synchronization or to the formation of spatio-temporal patterns in a lattice model of pulse-coupled oscillators. In order to ma…
A moment based approach to the dynamical solution of the Kuramoto model
C. J. Perez, F. Ritort
We examine the dynamics of the Kuramoto model with a new analytical approach. By defining an appropriate set of moments the dynamical equations can be exactly closed. We discuss so…
Self-Organized Criticality Induced by Diversity
Alvaro Corral, Conrad J. Perez, Albert Diaz-Guilera
We have studied the collective behavior of a population of integrate-and-fire oscillators. We show that diversity, introduced in terms of a random distribution of natural periods,…