Recent Applications of the Theory of Lie Systems in Ermakov Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Recent Applications of the Theory of Lie Systems in Ermakov Systems
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| Creator |
Cariñena, J.F.
de Lucas, J. Rañada, M.F. |
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| Description |
We review some recent results of the theory of Lie systems in order to apply such results to study Ermakov systems. The fundamental properties of Ermakov systems, i.e. their superposition rules, the Lewis-Ermakov invariants, etc., are found from this new perspective. We also obtain new results, such as a new superposition rule for the Pinney equation in terms of three solutions of a related Riccati equation.
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| Date |
2019-02-19T12:56:34Z
2019-02-19T12:56:34Z 2008 |
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| Type |
Article
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| Identifier |
Recent Applications of the Theory of Lie Systems in Ermakov Systems / J.F. Cariñena, J. de Lucas, M.F. Rañada // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 52 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 34A26; 34A05 http://dspace.nbuv.gov.ua/handle/123456789/149010 |
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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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