Routh Reduction by Stages
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Routh Reduction by Stages
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| Creator |
Langerock, B.
Mestdag, T. Vankerschaver, J. |
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| 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.
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| Date |
2019-02-16T20:48:46Z
2019-02-16T20:48:46Z 2011 |
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| Type |
Article
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| Identifier |
Routh Reduction by Stages / B. Langerock, T. Mestdag, J. Vankerschaver // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 20 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 37J05; 37J15; 52D20 DOI: http://dx.doi.org/10.3842/SIGMA.2011.109 http://dspace.nbuv.gov.ua/handle/123456789/148086 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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