Routh reduction by stages

dc.contributor.author	Langerock, B.
dc.contributor.author	Mestdag, T.
dc.contributor.author	Vankerschaver, J.
dc.date	2011
dc.date.accessioned	2016-03-29T12:43:52Z
dc.date.available	2016-03-29T12:43:52Z
dc.identifier.uri	https://orfeo.belnet.be/handle/internal/3094
dc.description	This paper deals with the Lagrangian analogue of symplectic or point reduction by stages. We develop Routh reduction as a reduction technique that preserves the Lagrangian nature of the dynamics. To do so we heavily rely on the relation between Routh reduction and cotangent symplectic reduction. The main results in this paper are: (i) we develop a class of so called magnetic Lagrangian systems and this class has the property that it is closed under Routh reduction; (ii) we construct a transformation relating the magnetic Lagrangian system obtained after two subsequent Routh reductions and the magnetic Lagrangian system obtained after Routh reduction w.r.t. to the full symmetry group.
dc.language	eng
dc.title	Routh reduction by stages
dc.type	Article
dc.subject.frascati	Physical sciences
dc.audience	Scientific
dc.source.title	Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
dc.source.volume	7
dc.source.page	109
Orfeo.peerreviewed	Yes
dc.identifier.doi	10.3842/SIGMA.2011.109
dc.identifier.scopus	2-s2.0-84857180485