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dc.contributor.authorBounemoura, Abed
dc.contributor.authorFayad, Bassam
dc.contributor.authorNiederman, Laurent
dc.date.accessioned2017-12-05T10:48:55Z
dc.date.available2017-12-05T10:48:55Z
dc.date.issued2015
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17158
dc.language.isoenen
dc.subjectelliptic equilibrium points
dc.subject.ddc515en
dc.titleDouble exponential stability for generic real-analytic elliptic equilibrium points
dc.typeDocument de travail / Working paper
dc.description.abstractenWe consider the dynamics in a neighborhood of an elliptic equilibrium point with a Diophantine frequency of a symplectic real analytic vector field and we prove the following result of effective stability. Generically, both in a topological and measure-theoretical sense, any solution starting sufficiently close to the equilibrium point remains close to it for an interval of time which is doubly exponentially large with respect to the inverse of the distance to the equilibrium point. We actually prove a more general statement assuming the frequency is only non-resonant. This improves previous results where much stronger non-generic assumptions were required.
dc.identifier.citationpages51
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphine
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01188980
dc.subject.ddclabelAnalyseen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-12-20T15:26:27Z


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