Third Order ODEs Systems and Its Characteristic Connections

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2011
• Автор: Medvedev, A.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2011
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147400
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Third Order ODEs Systems and Its Characteristic Connections / A. Medvedev // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 12 назв. — англ.

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...