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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorBounemoura, Abed
hal.structure.identifier
dc.contributor.authorBounemoura, Abed
dc.date.accessioned2018-03-09T10:46:31Z
dc.date.available2018-03-09T10:46:31Z
dc.date.issued2018
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17521
dc.language.isoenen
dc.subjectBruno-Rüssmann conditionen
dc.subjectSystèmes dynamiquesen
dc.subject.ddc515en
dc.titleSome remarks on the optimality of the Bruno-Rüssmann conditionen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe prove that the Bruno-Rüssmann condition is optimal for the analytic preservation of a quasi-periodic invariant curve for an analytic twist map. The proof is based on Yoccoz's corresponding result for analytic circle diffeomorphisms and the uniqueness of invariant curves with a given irrational rotation number. We also prove a similar result for analytic Tonelli Hamiltonian flow with n = 2 degrees of freedom; for n ≥ 3 we only obtain a weaker result which recovers and slightly improves a theorem of Bessi.en
dc.identifier.citationpages12en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01679497en
dc.subject.ddclabelAnalyseen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2018-03-09T10:38:39Z
hal.author.functionaut
hal.author.functionaut


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