Generic super-exponential stability of invariant tori in Hamiltonian systems

In this article, we consider solutions starting close to some linearly stable invariant tori in an analytic Hamiltonian system and we prove results of stability for a super-exponentially long interval of time, under generic conditions. The proof combines classical Birkhoff normal forms and a new met...

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Detalles Bibliográficos
Autor: Bounemoura, Abed
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:60914
Acceso en línea:https://ddd.uab.cat/record/60914
Access Level:acceso abierto
Palabra clave:Hamilton, Sistemes de
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spelling Generic super-exponential stability of invariant tori in Hamiltonian systemsBounemoura, AbedHamilton, Sistemes deIn this article, we consider solutions starting close to some linearly stable invariant tori in an analytic Hamiltonian system and we prove results of stability for a super-exponentially long interval of time, under generic conditions. The proof combines classical Birkhoff normal forms and a new method to obtain generic Nekhoroshev estimates developed by the author and L. Niederman in another paper. We will mainly focus on the neighbourhood of elliptic fixed points, the other cases being completely similar.Centre de Recerca MatemàticaCentre de Recerca Matemàtica 22009-01-0120092009-01-01Articlehttp://purl.org/coar/resource_type/c_6501AOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/60914reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/2.5/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:609142026-06-06T12:50:31Z
dc.title.none.fl_str_mv Generic super-exponential stability of invariant tori in Hamiltonian systems
title Generic super-exponential stability of invariant tori in Hamiltonian systems
spellingShingle Generic super-exponential stability of invariant tori in Hamiltonian systems
Bounemoura, Abed
Hamilton, Sistemes de
title_short Generic super-exponential stability of invariant tori in Hamiltonian systems
title_full Generic super-exponential stability of invariant tori in Hamiltonian systems
title_fullStr Generic super-exponential stability of invariant tori in Hamiltonian systems
title_full_unstemmed Generic super-exponential stability of invariant tori in Hamiltonian systems
title_sort Generic super-exponential stability of invariant tori in Hamiltonian systems
dc.creator.none.fl_str_mv Bounemoura, Abed
author Bounemoura, Abed
author_facet Bounemoura, Abed
author_role author
dc.contributor.none.fl_str_mv Centre de Recerca Matemàtica
dc.subject.none.fl_str_mv Hamilton, Sistemes de
topic Hamilton, Sistemes de
description In this article, we consider solutions starting close to some linearly stable invariant tori in an analytic Hamiltonian system and we prove results of stability for a super-exponentially long interval of time, under generic conditions. The proof combines classical Birkhoff normal forms and a new method to obtain generic Nekhoroshev estimates developed by the author and L. Niederman in another paper. We will mainly focus on the neighbourhood of elliptic fixed points, the other cases being completely similar.
publishDate 2009
dc.date.none.fl_str_mv 2
2009-01-01
2009
2009-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/60914
url https://ddd.uab.cat/record/60914
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by-nc-nd/2.5/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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https://creativecommons.org/licenses/by-nc-nd/2.5/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Centre de Recerca Matemàtica
publisher.none.fl_str_mv Centre de Recerca Matemàtica
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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