Effective stability in reversible systems

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Title:	Effective stability in reversible systems
Author:	Delshams Valdés, Amadeu; Lázaro Ochoa, José Tomás
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	In this paper we present a procedure to put in normal form a nearly-integrable reversible system, not necessarily a Hamiltonian system. Furthermore, non-resonant stability estimates are obtained. As an application we discuss the case of $n$ harmonic oscillators with frequencies satisfying Diophantine conditions.
Subject(s):	-Dynamical systems -Sistemes dinàmics -Sistemes dinàmics -Classificació AMS::37 Dynamical systems and ergodic theory::37J Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -Classificació AMS::70 Mechanics of particles and systems::70H Hamiltonian and Lagrangian mechanics
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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