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dc.contributor.author
Grillo, Sergio Daniel

dc.contributor.author
Zuccalli, Marcela

dc.date.available
2023-04-24T16:05:23Z
dc.date.issued
2012-04
dc.identifier.citation
Grillo, Sergio Daniel; Zuccalli, Marcela; Variational reduction of lagrangian systems with general constraints; American Institute of Mathematical Sciences; Journal of Geometric Mechanics; 4; 1; 4-2012; 49-88
dc.identifier.issn
1941-4889
dc.identifier.uri
http://hdl.handle.net/11336/195172
dc.description.abstract
In this paper we present an alternative procedure for reducing, in the Lagrangian formalism, the equations of motion of first order constrained mechanical systems with symmetry. The procedure involves two principal connections: one of them is used to define the reduced degrees of freedom and the other one to decompose variations into horizontal and vertical components. On the one hand, we show that this new procedure is particularly useful when the configuration space is a trivial principal bundle over the symmetry group, which is the case of many interesting examples. On the other hand, based on that procedure, we extend in a natural way the variational reduction methods to the Lagrangian systems with higher order constraints. Examples are discussed in order to illustrate the involved theorethical constructions.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Mathematical Sciences

dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Lagrangian systems
dc.subject
Variational reduction
dc.subject
Principal connections
dc.subject.classification
Matemática Aplicada

dc.subject.classification
Matemáticas

dc.subject.classification
CIENCIAS NATURALES Y EXACTAS

dc.title
Variational reduction of lagrangian systems with general constraints
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-04-24T12:59:58Z
dc.journal.volume
4
dc.journal.number
1
dc.journal.pagination
49-88
dc.journal.pais
Estados Unidos

dc.description.fil
Fil: Grillo, Sergio Daniel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
dc.description.fil
Fil: Zuccalli, Marcela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
dc.journal.title
Journal of Geometric Mechanics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.aimsciences.org/article/doi/10.3934/jgm.2012.4.49
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.3934/jgm.2012.4.49
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