We compute the characteristic Cartan connection associated with a system of third order ODEs. Our connection is different from Tanaka normal one, but sill 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 R-n are computed.
Third Order ODEs Systems and Its Characteristic Connections / Medvedev, Alexandr. - In: SYMMETRY, INTEGRABILITY AND GEOMETRY: METHODS AND APPLICATIONS. - ISSN 1815-0659. - 7:(2011), pp. 1-15. [10.3842/SIGMA.2011.076]
Third Order ODEs Systems and Its Characteristic Connections
MEDVEDEV, Alexandr
2011-01-01
Abstract
We compute the characteristic Cartan connection associated with a system of third order ODEs. Our connection is different from Tanaka normal one, but sill 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 R-n are computed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
