Un-Reduction of Systems of Second-Order Ordinary Differential Equations
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Un-Reduction of Systems of Second-Order Ordinary Differential Equations
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| Creator |
García-Toraño Andrés, E.
Mestdag, T. |
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| Description |
In this paper we consider an alternative approach to ''un-reduction''. This is the process where one associates to a Lagrangian system on a manifold a dynamical system on a principal bundle over that manifold, in such a way that solutions project. We show that, when written in terms of second-order ordinary differential equations (SODEs), one may associate to the first system a (what we have called) ''primary un-reduced SODE'', and we explain how all other un-reduced SODEs relate to it. We give examples that show that the considered procedure exceeds the realm of Lagrangian systems and that relate our results to those in the literature.
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| Date |
2019-02-18T15:23:16Z
2019-02-18T15:23:16Z 2016 |
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| Type |
Article
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| Identifier |
Un-Reduction of Systems of Second-Order Ordinary Differential Equations / E. García-Toraño Andrés, T. Mestdag // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 19 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 34A26; 37J15; 70H33; 70G65 DOI:10.3842/SIGMA.2016.115 http://dspace.nbuv.gov.ua/handle/123456789/148551 |
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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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