Higher-order mechanics: variational principles and other topics

Prieto Martínez, Pedro Daniel; Román Roy, Narciso

doi:10.3934/jgm.2013.5.493

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Prieto Martínez, Pedro Daniel

Román Roy, Narciso

Document typeArticle

Defense date2013-12

PublisherAmerican Institute of Mathematical Sciences

Rights accessOpen Access

Abstract

After reviewing the Lagrangian-Hamiltonian unified formalism (i.e, the Skinner-Rusk formalism) for higher-order (non-autonomous) dynamical systems, we state a unified geometrical version of the Variational Principles which allows us to derive the Lagrangian and Hamiltonian equations for these kinds of systems. Then, the standard Lagrangian and Hamiltonian formulations of these principles and the corresponding dynamical equations are recovered from this unified framework.. © American Institute of Mathematical Sciences.

CitationPrieto, P.; Roman-Roy, N. Higher-order mechanics: variational principles and other topics. "Journal of Geometric Mechanics", Desembre 2013, vol. 5, núm. 4, p. 493-510.

URIhttp://hdl.handle.net/2117/22510

DOI10.3934/jgm.2013.5.493

ISSN1941-4889

Publisher versionhttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9525

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