Unified formalism for the generalized kth-order Hamilton-Jacobi problem

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Title:	Unified formalism for the generalized kth-order Hamilton-Jacobi problem
Author:	Colombo, Leonardo; León, Manuel de; 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 formulation of the Hamilton-Jacobi theory enables u s to generalize it to systems of higher-order ordinary differential equations. In this w ork we introduce the unified Lagrangian-Hamiltonian formalism for the geometric Hamilton-Jacob i theory on higher-order autonomous dynamical systems described by regular Lagrangian f unctions.
Subject(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions diferencials ordinàries -Hamilton-Jacobi equations -Anàlisi matemàtica -49L Hamilton-Jacobi theories, including dynamic programming
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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