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The class of solutions and algebraic integrability of algebraic differential equations. trajectories of dynamical systems

✍ Scribed by S. L. Sobolevskii

Book ID
110661817
Publisher
Springer
Year
2000
Tongue
English
Weight
894 KB
Volume
36
Category
Article
ISSN
0012-2661

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πŸ“œ SIMILAR VOLUMES

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✍ G. Ünal πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 79 KB

It has been shown that when an n-dimensional dynamical system admits a generalized symmetry vector field which Ε½ involves a divergence-free Liouville vector field, then it possesses n y 1 independent first integrals i.e., it is algebraically . integrable . Furthermore, the Liouville vector field can

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✍ Andrzej J. Maciejewski πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 596 KB

Abstrael--In this paper I describe some effective methods that can be applied to the study of the problem of existence of a polynomial or rational first integral of an arbitrary system of ordinary differential equations with polynomial right hand sides. I present an extension of the method of compat