A novel approach to synchronization in coupled excitable systems

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dc.creatorNaundorf, B.
dc.creatorPrager, T.
dc.creatorSchimansky-Geier, L.
dc.date2002-11-01
dc.date.accessioned2026-07-07T02:48:02Z
dc.date.available2026-07-07T02:48:02Z
dc.descriptionWe consider networks of coupled stochastic oscillators. When coupled we find strong collective oscillations, while each unit remains stochastic. In the limit (N\to \infty) we derive a system of integro-delay equations and show analytically that the collective oscillations persist in a large region in parameter. For a regular topology with \emph{few} connections between the oscillators, islands of coherent oscillations are formed, which merge as the amount of topological disorder increases. We link this transition to typical network quantities in the framework of small-world networks.
dc.description4 pages, 8 figures. Submitted to PRL
dc.identifierhttps://arxiv.org/abs/cond-mat/0211011
dc.identifierhttp://arxiv.org/abs/cond-mat/0211011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20239
dc.subjectStatistical Mechanics
dc.titleA novel approach to synchronization in coupled excitable systems
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