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A note on micro-instability for Hamiltonian systems close to integrable

hal.structure.identifier
dc.contributor.authorBounemoura, Abed*
hal.structure.identifier
dc.contributor.authorKaloshin, Vadim*
dc.date.accessioned2015-01-07T15:40:41Z
dc.date.available2015-01-07T15:40:41Z
dc.date.issued2016
dc.identifier.issn0002-9939
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/14498
dc.language.isoenen
dc.subjectDynamical Systems
dc.subject.ddc515en
dc.titleA note on micro-instability for Hamiltonian systems close to integrable
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversity of Maryland at College Park;États-Unis
dc.description.abstractenIn this note, we consider the dynamics associated to a perturbation of an integrableHamiltonian system in action-angle coordinates in any number of degrees of freedom andwe prove the following result of “micro-diffusion”: under generic assumptions onhandf,there exists an orbit of the system for which the drift of its action variables is at least oforder√ε, after a time of order√ε−1. The assumptions, which are essentially minimal, arethat there exists a resonant point forhand that the corresponding averaged perturbationis non-constant. The conclusions, although very weak when compared to usual instabilityphenomena, are also essentially optimal within this setting.
dc.relation.isversionofjnlnameProceedings of the American Mathematical Society
dc.relation.isversionofjnlvol144
dc.relation.isversionofjnldate2016
dc.relation.isversionofjnlpages1553-1560
dc.relation.isversionofdoi10.1090/proc/12796
dc.identifier.urlsitehttps://arxiv.org/abs/1412.7455v2
dc.relation.isversionofjnlpublisherAmerican Mathematical Society
dc.subject.ddclabelAnalyseen
dc.description.submittednonen
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dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2018-07-23T12:54:36Z
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