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dc.contributor.authorMischler, Stéphane*
dc.contributor.authorQuiñinao, Cristóbal*
dc.contributor.authorWeng, Qilong*
dc.date.accessioned2018-09-04T09:38:16Z
dc.date.available2018-09-04T09:38:16Z
dc.date.issued2018
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17936
dc.language.isoenen
dc.subjectneuron networken
dc.subject.ddc515en
dc.titleWeak and strong connectivity regimes for a general time elapsed neuron network modelen
dc.typeDocument de travail / Working paper
dc.description.abstractenFor large fully connected neuron networks, we study the dynamics of homogenous assemblies of interacting neurons described by time elapsed models. Under general assumptions on the firing rate which include the ones made in previous works [7, 8, 6], we establish accurate estimate on the long time behavior of the solutions in the weak and the strong connectivity regime both in the case with and without delay. Our results improve [7, 8] where a less accurate estimate was established and [6] where only smooth firing rates were considered. Our approach combines several arguments introduced in the above previous works as well as a slightly refined version of the Weyl's and spectral mapping theorems presented in [13, 4].en
dc.identifier.citationpages20en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal-univ-diderot.archives-ouvertes.fr/hal-01703349en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2018-03
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2018-09-04T09:33:26Z
hal.person.labIds60*
hal.person.labIds18014*
hal.person.labIds60*


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