Показати простий запис статті

dc.contributor.author Langerock, B.
dc.contributor.author Mestdag, T.
dc.contributor.author Vankerschaver, J.
dc.date.accessioned 2019-02-16T20:48:46Z
dc.date.available 2019-02-16T20:48:46Z
dc.date.issued 2011
dc.identifier.citation Routh Reduction by Stages / B. Langerock, T. Mestdag, J. Vankerschaver // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 20 назв. — англ. uk_UA
dc.identifier.issn 1815-0659
dc.identifier.other 2010 Mathematics Subject Classification: 37J05; 37J15; 52D20
dc.identifier.other DOI: http://dx.doi.org/10.3842/SIGMA.2011.109
dc.identifier.uri http://dspace.nbuv.gov.ua/handle/123456789/148086
dc.description.abstract 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. uk_UA
dc.description.sponsorship BL is an honorary postdoctoral researcher at the Department of Mathematics of Ghent University and associate academic staf f at the Department of Mathematics of K.U.Leuven. BL is sponsored by a Research Programme of the Research Foundation – Flanders (FWO). Part of this work was supported by the Sint-Lucas department of Architecture, K.U.Leuven Association. TM is a Postdoctoral Fellow of the Research Foundation – Flanders (FWO). JV is a postdoc at the Department of Mathematics of UC San Diego, partially supported by NSF CAREER award DMS-1010687 and NSF FRG grant DMS-1065972, and is on leave from a Postdoctoral Fellowship of the Research Foundation–Flanders. This work is part of the irses project geomech (nr. 246981) within the 7th European Community Framework Programme. We are indebted to F. Cantrijn, M. Crampin and E. Garc´ıa-Tora˜no Andres for many useful discussions. We thank one of the referees for pointing out reference [16] on the reduction hypothesis. uk_UA
dc.language.iso en uk_UA
dc.publisher Інститут математики НАН України uk_UA
dc.relation.ispartof Symmetry, Integrability and Geometry: Methods and Applications
dc.title Routh Reduction by Stages uk_UA
dc.type Article uk_UA
dc.status published earlier uk_UA

Файли у цій статті

Ця стаття з'являється у наступних колекціях

Показати простий запис статті


Розширений пошук


Мій обліковий запис