Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio

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Title:	Exponentially small splitting of separatrices and transversality associated to whiskered tori with quadratic frequency ratio
Author:	Delshams Valdés, Amadeu; Gonchenko, Marina; Gutiérrez Serrés, Pere
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
Abstract:	The splitting of invariant manifolds of whiskered (hyperbolic) tori with two frequencies in a nearly-integrable Hamiltonian system, whose hyperbolic part is given by a pendulum, is studied.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Splitting of separatrices -transverse homoclinic orbits -Melnikov integrals -quadratic frequency ratio. -Sistemes dinàmics diferenciables
Rights:	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Draft Report
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