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Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 2020, Volume 187, Pages 68–81 (Mi into733)  

Examples of nine-order integrable dynamical systems with dissipation

M. V. Shamolin

Lomonosov Moscow State University

Abstract: In this paper, the integrability of some classes of homogeneous with respect to a part of variables ninth-order dynamical systems, in which a system on the tangent bundle to four-dimensional manifolds is distinguished. In this case, force fields have a dissipation of different signs and are generalizations of those considered earlier.

Keywords: dynamical system, nonconservative force fields, integrability, transcendental first integral

DOI: https://doi.org/10.36535/0233-6723-2020-187-68-81

Full text: PDF file (226 kB)
References: PDF file   HTML file

UDC: 517, 531.01
MSC: 58-xx, 70-xx

Citation: M. V. Shamolin, “Examples of nine-order integrable dynamical systems with dissipation”, Geometry and Mechanics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 187, VINITI, Moscow, 2020, 68–81

Citation in format AMSBIB
\Bibitem{Sha20}
\by M.~V.~Shamolin
\paper Examples of nine-order integrable dynamical systems with dissipation
\inbook Geometry and Mechanics
\serial Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 187
\pages 68--81
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into733}
\crossref{https://doi.org/10.36535/0233-6723-2020-187-68-81}


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