On Synchronization in a Lattice Model of Pulse-Coupled Oscillators

Details On Synchronization in a Lattice Model of Pulse-Coupled Oscillators On Synchronization in a Lattice Model of Pulse-Coupled Oscillators

1995-10-05

arxiv.org/abs/cond-mat/9510029v1

Physics

Condensed Matter

4 pages, RevTex, 1 PostScript available upon request, To appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.75.3697

We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By means of computer simulations we find the relation between the intrinsic dynamics of each member of the population and their mutual interaction that ensures, in a general context, the existence of a fully synchronized regime. This condition turns out to be the same than the obtained for the globally coupled population. When the condition is not completely satisfied we find different spatial structures. This also gives some hints about self-organized criticality.

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