Third Order ODEs Systems and Its Characteristic Connections
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Third Order ODEs Systems and Its Characteristic Connections
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| Creator |
Medvedev, A.
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| Description |
We compute the characteristic Cartan connection associated with a system of third order ODEs. Our connection is different from Tanaka normal one, but still is uniquely associated with the system of third order ODEs. This allows us to find all fundamental invariants of a system of third order ODEs and, in particular, determine when a system of third order ODEs is trivializable. As application differential invariants of equations on circles in Rn are computed.
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| Date |
2019-02-14T17:35:11Z
2019-02-14T17:35:11Z 2011 |
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| Type |
Article
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| Identifier |
Third Order ODEs Systems and Its Characteristic Connections / A. Medvedev // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 12 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 34A26; 53B15 DOI:10.3842/SIGMA.2011.076 http://dspace.nbuv.gov.ua/handle/123456789/147400 |
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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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