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

All of RECERCAT

To access the full text documents, please follow this link: http://hdl.handle.net/2117/105920

Title:	Gevrey estimates for one dimensional parabolic invariant manifolds of non-hyperbolic fixed points
Author:	Baldomá Barraca, Inmaculada; Fontich, Ernest; Martín, Pau
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
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.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Invariant manifolds -Gevrey class -parabolic points -invariant manifolds -Varietats (Matemàtica) -Sistemes dinàmics diferenciables
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
Share: