Geometric Hamilton-Jacobi theory for higher-order autonomous systems

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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 ambient of higher-order mechanical systems, both in 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.
Abstract:	Peer Reviewed
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria -Hamilton-Jacobi equations -Mathematical physics -Hamilton–Jacobi equation -Higher–order -Lagrangian and Hamiltonian systems -Symplectic geometry -Equacions de Hamilton-Jacobi -Física matemàtica
Rights:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Document type:	Article - Draft Report
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