Phase diagram of a generalized Winfree model

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dc.creatorGiannuzzi, F.
dc.creatorMarinazzo, D.
dc.creatorNardulli, G.
dc.creatorPellicoro, M.
dc.creatorStramaglia, S.
dc.date2008-07-24
dc.date.accessioned2026-07-07T09:52:34Z
dc.date.available2026-07-07T09:52:34Z
dc.descriptionWe study the phase diagram of a generalized Winfree model. The modification is such that the coupling depends on the fraction of synchronized oscillators, a situation which has been noted in some experiments on coupled Josephson junctions and mechanical systems. We let the global coupling k be a function of the Kuramoto order parameter r through an exponent z such that z=1 corresponds to the standard Winfree model, z<1 strengthens the coupling at low r (low amount of synchronization) and, at z>1, the coupling is weakened for low r. Using both analytical and numerical approaches, we find that z controls the size of the incoherent phase region, and one may make the incoherent behavior less typical by choosing z<1. We also find that the original Winfree model is a rather special case, indeed the partial locked behavior disappears for z>1. At fixed k and varying gamma, the stability boundary of the locked phase corresponds to a transition that is continuous for z<1 and first-order for z>1. This change in the nature of the transition is in accordance with a previous study on a similarly modified Kuramoto model.
dc.description9 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0807.3823
dc.identifierhttp://arxiv.org/abs/0807.3823
dc.identifierPhysical Review E 75, 051104 (2007)
dc.identifierdoi:10.1103/PhysRevE.75.051104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165642
dc.subjectDisordered Systems and Neural Networks
dc.titlePhase diagram of a generalized Winfree model
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