Third Order ODEs Systems and Its Characteristic Connections
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 an...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2011 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2011
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147400 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Third Order ODEs Systems and Its Characteristic Connections / A. Medvedev // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 12 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862700413017391104 |
|---|---|
| author | Medvedev, A. |
| author_facet | Medvedev, A. |
| citation_txt | Third Order ODEs Systems and Its Characteristic Connections / A. Medvedev // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 12 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-07T16:38:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147400 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:38:53Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Medvedev, A. 2019-02-14T17:35:11Z 2019-02-14T17:35:11Z 2011 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 https://nasplib.isofts.kiev.ua/handle/123456789/147400 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Third Order ODEs Systems and Its Characteristic Connections Article published earlier |
| spellingShingle | Third Order ODEs Systems and Its Characteristic Connections Medvedev, A. |
| title | Third Order ODEs Systems and Its Characteristic Connections |
| title_full | Third Order ODEs Systems and Its Characteristic Connections |
| title_fullStr | Third Order ODEs Systems and Its Characteristic Connections |
| title_full_unstemmed | Third Order ODEs Systems and Its Characteristic Connections |
| title_short | Third Order ODEs Systems and Its Characteristic Connections |
| title_sort | third order odes systems and its characteristic connections |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147400 |
| work_keys_str_mv | AT medvedeva thirdorderodessystemsanditscharacteristicconnections |