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Title:	Geometric Hamilton-Jacobi theory for higher-order autonomous systems
Author:	Colombo, Leonardo; De León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV; Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
Abstract:	The geometric framework for the Hamilton-Jacobi theory is used to study this theory in the background of higher-order mechanical systems, in both the Lagrangian and Hamiltonian formalisms. Thus, we state the corresponding Hamilton-Jacobi equations in these formalisms and apply our results to analyze some particular physical examples.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria diferencial -Differential geometry -Hamilton-Jacobi equation -higher-order Lagrangian and Hamiltonian systems -Symplectic geometry -Field-theories -Mechanics -Constraints -Equation -Dynamics -Geometria diferencial
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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