Afficher la notice abrégée

dc.contributor.authorWeng, Qilong
dc.date.accessioned2017-12-01T10:41:36Z
dc.date.available2017-12-01T10:41:36Z
dc.date.issued2016
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17139
dc.language.isoenen
dc.subjectsemigroup spectral analysis
dc.subjectNeuron networks
dc.subjecttime elapsed dynamics
dc.subjectstrong connectivity
dc.subjectexponential asymptotic stability
dc.subject.ddc515en
dc.titleGeneral time elapsed neuron network model: well-posedness and strong connectivity regime
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, indicating how the time elapsed since the last discharge construct the probability density of neurons. Through the spectral analysis theory for semigroups in Banach spaces developed recently in [6, 9], on the one hand, we prove the existence and the uniqueness of the weak solution in the whole connectivity regime as well as the parallel results on the long time behavior of solutions obtained in [10] under general assumptions on the ring rate and the delay distribution. On the other hand, we extend those similar results obtained in [11, 12] in the case without delay to the case taking delay into account and both in the weak and the strong connectivity regime with a particular step function ring rate. Our approach uses the spectral analysis theory for semigroups in Banach spaces developed recently by the first author and collaborators.
dc.identifier.citationpages25
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphine
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01243163
dc.subject.ddclabelAnalyseen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-12-19T16:52:09Z
hal.person.labIds60


Fichiers attachés à cette notice

FichiersTailleFormatConsulter

Il n'y a pas de fichiers associés à cette notice.

Ce document fait partie de la (des) collection(s) suivante(s)

Afficher la notice abrégée