Arnold diffusion for a complete family of perturbations with two independent harmonics

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Title:	Arnold diffusion for a complete family of perturbations with two independent harmonics
Author:	Delshams Valdés, Amadeu; Gonçalves Schaefer, Rodrigo
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
Abstract:	We prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete computation of several scattering maps. A complete description of the different kinds of scattering maps taking place as well as the existence of piecewise smooth global scattering maps is also provided
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística -Hamiltonian systems -Arnold diffusion -normally hyperbolic invariant manifolds -scattering maps -Sistemes hamiltonians
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Submitted version Article
Published by:	American Institute of Mathematical Sciences
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