SYNCHRONIZATION IN A LATTICE MODEL OF PULSE-COUPLED OSCILLATORS

We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By means of computer simulations we find the relation be tween the intrinsic dynamics of each member of the population and thei r mutual interactions that ensures, in a general context, the existenc e of a fully synchronized regime. This condition turns out to be the s ame as that obtained for the globally coupled population. When the con dition is not completely satisfied we find different spatial structure s. This also gives some hints about self-organized criticality.