Action-angle variables and a KAM theorem for b-Poisson manifolds

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Title:	Action-angle variables and a KAM theorem for b-Poisson manifolds
Author:	Miranda Galcerán, Eva; Kiesenhofer, Anna; Scott, Geoffrey
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtiques; Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions
Abstract:	In this article we prove an action-angle theorem for b-integrable systems on b-Poisson manifolds improving the action-angle theorem contained in [14] for general Poisson manifolds in this setting. As an application, we prove a KAM-type theorem for b-Poisson manifolds. (C) 2015 Elsevier Masson SAS. All rights reserved.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria -Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics -Differential equations -Symplectic manifolds -Poisson manifolds -Integrable systems -Action-angle variables -KAM theorem -DEFORMATIONS -SYSTEMS -Sistmes dinàmics
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Published version Article
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