Third Order ODEs Systems and Its Characteristic Connections

dc.contributor.author	Medvedev, A.
dc.date.accessioned	2019-02-14T17:35:11Z
dc.date.available	2019-02-14T17:35:11Z
dc.date.issued	2011
dc.identifier.citation	Third Order ODEs Systems and Its Characteristic Connections / A. Medvedev // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 12 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 34A26; 53B15
dc.identifier.other	DOI:10.3842/SIGMA.2011.076
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147400
dc.description.abstract	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Third Order ODEs Systems and Its Characteristic Connections	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA