Existence and Stability of Standing Pulses in Neural Networks: II Stability

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dc.creatorGuo, Yixin
dc.creatorChow, Carson C.
dc.date2004-07-08
dc.date.accessioned2026-07-07T05:58:33Z
dc.date.available2026-07-07T05:58:33Z
dc.descriptionWe analyze the stability of standing pulse solutions of a neural network integro-differential equation. The network consists of a coarse-grained layer of neurons synaptically connected by lateral inhibition with a non-saturating nonlinear gain function. When two standing single-pulse solutions coexist, the small pulse is unstable, and the large pulse is stable. The large single-pulse is bistable with the ``all-off'' state. This bistable localized activity may have strong implications for the mechanism underlying working memory. We show that dimple pulses have similar stability properties to large pulses but double pulses are unstable.
dc.description31 pages, 16 figures, submitted to SIAM Journal on Applied Dynamical Systems
dc.identifierhttps://arxiv.org/abs/q-bio/0407014
dc.identifierhttp://arxiv.org/abs/q-bio/0407014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88396
dc.subjectNeurons and Cognition
dc.subjectQuantitative Methods
dc.titleExistence and Stability of Standing Pulses in Neural Networks: II Stability
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