Effects of multiplicative noises on synchronization in finite $N$-unit stochastic ensembles: Augmented moment approach

dc.creatorHasegawa, Hideo
dc.date2006-01-17
dc.date.accessioned2026-07-07T06:57:36Z
dc.date.available2026-07-07T06:57:36Z
dc.descriptionWe have studied the synchronization in finite $N$-unit FitzHugh-Nagumo neuron ensembles subjected to additive and multiplicative noises, by using the augmented moment method (AMM) which is reformulated with the use of the Fokker-Planck equation. It has been shown that for diffusive couplings, the synchronization may be enhanced by multiplicative noises while additive noises are detrimental to the synchronization. In contrast, for sigmoid coupling, both additive and multiplicative noises deteriorate the synchronization. The synchronization depends not only on the type of noises but also on the kind of couplings.
dc.description15 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0601358
dc.identifierhttp://arxiv.org/abs/cond-mat/0601358
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107029
dc.subjectDisordered Systems and Neural Networks
dc.titleEffects of multiplicative noises on synchronization in finite $N$-unit stochastic ensembles: Augmented moment approach
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