The classical KAM theorem for Hamiltonian systems via rational approximations

dc.contributor.author	Fischler, Stephane
dc.contributor.author	Bounemoura, Abed
dc.date.accessioned	2014-02-24T09:17:50Z
dc.date.available	2014-02-24T09:17:50Z
dc.date.issued	2014
dc.identifier.uri	https://basepub.dauphine.fr/handle/123456789/12736
dc.language.iso	en	en
dc.subject	Hamiltonian systems	en
dc.subject	KAM theorem	en
dc.subject.ddc	520	en
dc.title	The classical KAM theorem for Hamiltonian systems via rational approximations	en
dc.type	Article accepté pour publication ou publié
dc.description.abstracten	In this paper, we give a new proof of the classical KAM theorem on the persistence of an invariant quasi-periodic torus, whose frequency vector satisfies the Bruno-Rüssmann condition, in real-analytic non-degenerate Hamiltonian systems close to integrable. The proof, which uses rational approximations instead of small divisors estimates, is an adaptation to the Hamiltonian setting of the method we introduced in a previous work for perturbations of constant vector fields on the torus.	en
dc.relation.isversionofjnlname	Regular and Chaotic Dynamics
dc.relation.isversionofjnlvol	19
dc.relation.isversionofjnlissue	2
dc.relation.isversionofjnldate	2014
dc.relation.isversionofjnlpages	251-265
dc.relation.isversionofdoi	http://dx.doi.org/10.1134/S1560354714020087
dc.identifier.urlsite	http://hal.archives-ouvertes.fr/hal-00937185	en
dc.relation.isversionofjnlpublisher	Springer
dc.subject.ddclabel	Sciences connexes (physique, astrophysique)	en
dc.description.submitted	non	en
dc.relation.Isversionofjnlpeerreviewed	Springer

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