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dc.contributor.authorPrieto Martínez, Pedro Daniel
dc.contributor.authorRomán Roy, Narciso
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.date.accessioned2014-04-03T17:35:10Z
dc.date.available2014-04-03T17:35:10Z
dc.date.created2013-12
dc.date.issued2013-12
dc.identifier.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.
dc.identifier.issn1941-4889
dc.identifier.urihttp://hdl.handle.net/2117/22510
dc.description.abstractAfter 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.
dc.format.extent18 p.
dc.language.isoeng
dc.publisherAmerican Institute of Mathematical Sciences
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Geometria
dc.subject.lcshVariational principles
dc.subject.lcshMathematical physics
dc.subject.otherHigher-order mechanics
dc.subject.otherLagrangian and hamiltonian formalisms
dc.subject.otherNon-autonomous sytems
dc.subject.otherSkinner-rusk formulation
dc.subject.otherVariational Principles
dc.titleHigher-order mechanics: variational principles and other topics
dc.typeArticle
dc.subject.lemacFísica matemàtica
dc.contributor.groupUniversitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions
dc.identifier.doi10.3934/jgm.2013.5.493
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9525
dc.rights.accessOpen Access
drac.iddocument13062969
dc.description.versionPostprint (published version)
upcommons.citation.authorPrieto, P.; Roman-Roy, N.
upcommons.citation.publishedtrue
upcommons.citation.publicationNameJournal of Geometric Mechanics
upcommons.citation.volume5
upcommons.citation.number4
upcommons.citation.startingPage493
upcommons.citation.endingPage510


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