Geodesic
On the continuability of solutions of autonomous differential systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2020), pp. 15-28

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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. 
@article{IVM_2020_11_a1,
     author = {V. V. Amel'kin and V. Yu. Tyshchenko},
     title = {On the continuability of solutions of autonomous differential systems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {15--28},
     publisher = {mathdoc},
     number = {11},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2020_11_a1/}
}
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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/