Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.contributor.author	Baldomá Barraca, Inmaculada
dc.contributor.author	Fontich, Ernest
dc.contributor.author	Martín, Pau
dc.date	2017-08-01
dc.identifier.citation	Baldoma, I., Fontich, E., Martín, P. Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points. "Discrete and continuous dynamical systems. Series A", 1 Agost 2017, vol. 37, núm. 8, p. 4159-4190.
dc.identifier.citation	1078-0947
dc.identifier.citation	10.3934/dcds.2017177
dc.identifier.uri	http://hdl.handle.net/2117/105920
dc.language.iso	eng
dc.relation	http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=14028
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject	Invariant manifolds
dc.subject	Gevrey class
dc.subject	parabolic points
dc.subject	invariant manifolds
dc.subject	Varietats (Matemàtica)
dc.subject	Sistemes dinàmics diferenciables
dc.title	Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	We study the Gevrey character of a natural parameterization of one dimensional invariant manifolds associated to a parabolic direction of fixed points of analytic maps, that is, a direction associated with an eigenvalue equal to 1. We show that, under general hypotheses, these invariant manifolds are Gevrey with type related to some explicit constants. We provide examples of the optimality of our results as well as some applications to celestial mechanics, namely, the Sitnikov problem and the restricted planar three body problem.
dc.description.abstract	Peer Reviewed

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