Geometric Hamilton-Jacobi theory for higher-order autonomous systems

Colombo, Leonardo; De León, Manuel; Prieto Martínez, Pedro Daniel; Román Roy, Narciso

doi:10.1088/1751-8113/47/23/235203

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Colombo, Leonardo

De León, Manuel

Prieto Martínez, Pedro Daniel

Román Roy, Narciso

Document typeArticle

Defense date2014-06-13

Rights accessRestricted access - publisher's policy

European Commission's projectGEOMECH - Geometric Mechanics (EC-FP7-246981)

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.

CitationColombo, L. [et al.]. Geometric Hamilton-Jacobi theory for higher-order autonomous systems. "Journal of physics A. Mathematical and theoretical", 13 Juny 2014, vol. 47, núm. 23.

URIhttp://hdl.handle.net/2117/27514

DOI10.1088/1751-8113/47/23/235203

ISSN1751-8113

Publisher versionhttp://arxiv.org/abs/1309.2166

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