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Higher-order mechanics: variational principles and other topics
dc.contributor.author | Prieto Martínez, Pedro Daniel |
dc.contributor.author | Román Roy, Narciso |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2014-04-03T17:35:10Z |
dc.date.available | 2014-04-03T17:35:10Z |
dc.date.created | 2013-12 |
dc.date.issued | 2013-12 |
dc.identifier.citation | Prieto, 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.issn | 1941-4889 |
dc.identifier.uri | http://hdl.handle.net/2117/22510 |
dc.description.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. |
dc.format.extent | 18 p. |
dc.language.iso | eng |
dc.publisher | American Institute of Mathematical Sciences |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria |
dc.subject.lcsh | Variational principles |
dc.subject.lcsh | Mathematical physics |
dc.subject.other | Higher-order mechanics |
dc.subject.other | Lagrangian and hamiltonian formalisms |
dc.subject.other | Non-autonomous sytems |
dc.subject.other | Skinner-rusk formulation |
dc.subject.other | Variational Principles |
dc.title | Higher-order mechanics: variational principles and other topics |
dc.type | Article |
dc.subject.lemac | Física matemàtica |
dc.contributor.group | Universitat Politècnica de Catalunya. DGDSA - Geometria Diferencial, Sistemes Dinàmics i Aplicacions |
dc.identifier.doi | 10.3934/jgm.2013.5.493 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9525 |
dc.rights.access | Open Access |
local.identifier.drac | 13062969 |
dc.description.version | Postprint (published version) |
local.citation.author | Prieto, P.; Roman-Roy, N. |
local.citation.publicationName | Journal of Geometric Mechanics |
local.citation.volume | 5 |
local.citation.number | 4 |
local.citation.startingPage | 493 |
local.citation.endingPage | 510 |
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