Geodesic
On the continuability of solutions of autonomous differential systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2020), pp. 15-28 Cet article a éte moissonné depuis la source Math-Net.Ru

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Problems about a continuability of solutions of real autonomous systems of equations in total differentials and about a reducibility of such systems to many-dimensional dynamical systems are investigated. The reducibility criterion is proved. Conditions at which realisation the reducible system of exact differential equations has orbits–torus-cylinders, are received. Examples are given. When the received outcomes can be transferred on a complex case is noted.
Keywords: autonomous system, quite solvable system of the exact equations, continuability of the solutions, many-dimensional dynamical system
Mots-clés : orbit. 
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V. V. Amel'kin; V. Yu. Tyshchenko. On the continuability of solutions of autonomous differential systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2020), pp. 15-28. http://geodesic.mathdoc.fr/item/IVM_2020_11_a1/

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