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On One Integrable System With a Cubic First Integral

✍ Scribed by Vershilov, Alexander Vladimirovich; Tsiganov, Andrey Vladimirovich


Book ID
113075136
Publisher
Springer
Year
2012
Tongue
English
Weight
184 KB
Volume
101
Category
Article
ISSN
0377-9017

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Reversible systems with first integrals
✍ Mikhail V. Matveyev πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 640 KB

A reversible system of ordinary differential equations (ODE) possessing some first integrals is considered. A simple description of the first integral space is given. It is shown that, under the auxiliary assumption that the integrals are symmetric (i.e., they do not change sign under the action of