MECHANISMS OF SYNCHRONIZATION AND PATTERN-FORMATION IN A LATTICE OF PULSE-COUPLED OSCILLATORS

Authors
DIAZGUILERA A PEREZ CJ ARENAS A
Citation
A. Diazguilera et al., MECHANISMS OF SYNCHRONIZATION AND PATTERN-FORMATION IN A LATTICE OF PULSE-COUPLED OSCILLATORS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(4), 1998, pp. 3820-3828
Citations number
16
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
4
Year of publication
1998
Pages
3820 - 3828
Database
ISI
SICI code
1063-651X(1998)57:4<3820:MOSAPI>2.0.ZU;2-N
Abstract
We analyze the physical mechanisms leading either to synchronization o r to the formation of spatiotemporal patterns in a lattice model of pu lse-coupled oscillators. In order to make the system tractable from a mathematical point of view we study a one-dimensional ring with unidir ectional coupling. In such a situation, exact results concerning the s tability of the fixed of the dynamic evolution of the lattice can be o btained. Furthermore, we show that this stability is the responsible f or the different behaviors.