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Exponentially small splitting of invariant manifolds of parabolic points

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dc.contributor.authorBaldomá, Inmaculada
dc.contributor.authorFontich, Ernest, 1955-
dc.date.accessioned2016-04-01T11:02:57Z
dc.date.available2016-04-01T11:02:57Z
dc.date.issued2004
dc.date.updated2016-04-01T11:03:02Z
dc.description.abstractWe consider families of one and a half degrees of freedom Hamiltonians with high frequency periodic dependence on time, which are perturbations of an autonomous system. We suppose that the origin is a parabolic xed point with non-diagonalizable linear part and that the unperturbed system has a homoclinic connexion associated to it. We provide a set of hypotheses under which the splitting is exponentially small and is given by the Poincaré-Melnikov function.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec523116
dc.identifier.issn0065-9266
dc.identifier.urihttps://hdl.handle.net/2445/96849
dc.language.isoeng
dc.publisherAmerican Mathematical Society (AMS)
dc.relation.isformatofReproducció del document publicat a: http://dx.doi.org/10.1090/memo/0792
dc.relation.ispartofMemoirs of the American Mathematical Society, 2004, vol. 167, num. 792
dc.relation.urihttp://dx.doi.org/10.1090/memo/0792
dc.rights(c) American Mathematical Society (AMS), 2004
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationSistemes hamiltonians
dc.subject.classificationTeoria ergòdica
dc.subject.classificationSistemes dinàmics diferenciables
dc.subject.classificationEquacions diferencials ordinàries
dc.subject.otherHamiltonian systems
dc.subject.otherErgodic theory
dc.subject.otherDifferentiable dynamical systems
dc.subject.otherOrdinary differential equations
dc.titleExponentially small splitting of invariant manifolds of parabolic points
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion

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