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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Bibliographic Details
Main Author: Alexandr Medvedev
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-08-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.076