Routh reduction and the class of magnetic Lagrangian systems

dc.contributor.author	Langerock, B.
dc.contributor.author	García-Toraño Andrés, E.
dc.contributor.author	Cantrijn, F.
dc.date	2012
dc.date.accessioned	2016-03-29T10:07:38Z
dc.date.available	2016-03-29T10:07:38Z
dc.identifier.uri	https://orfeo.belnet.be/handle/internal/3051
dc.description	In this paper, some new aspects related to Routh reduction of Lagrangian systems with symmetry are discussed. The main result of this paper is the introduction of a new concept of transformation that is applicable to systems obtained after Routh reduction of Lagrangian systems with symmetry, so-called magnetic Lagrangian systems. We use these transformations in order to show that, under suitable conditions, the reduction with respect to a (full) semi-direct product group is equivalent to the reduction with respect to an Abelian normal subgroup. The results in this paper are closely related to the more general theory of Routh reduction by stages.
dc.language	eng
dc.title	Routh reduction and the class of magnetic Lagrangian systems
dc.type	Article
dc.subject.frascati	Mathematics
dc.audience	Scientific
dc.source.title	Journal of Mathematical Physics
dc.source.volume	53
dc.source.issue	6
dc.source.page	62902
Orfeo.peerreviewed	Yes
dc.identifier.doi	10.1063/1.4723841
dc.identifier.scopus	2-s2.0-84863522330