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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 491, Pages 95–101
DOI: https://doi.org/10.31857/S268695432002023X (Mi danma58) 		 
This article is cited in 34 scientific papers (total in 34 papers)

MATHEMATICS

New cases of integrable odd-order systems with dissipation

M. V. Shamolin

Lomonosov Moscow State University, Moscow, Russian Federation
Full-text PDF (221 kB) Citations (34)
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DOI: https://doi.org/10.31857/S268695432002023X
Abstract: This paper shows the integrability of certain classes of odd-order dynamical systems that are homogeneous with respect to some of the variables and in which a system on the tangent bundle of smooth manifolds is distinguished. In this case, the force fields have dissipation of different signs and generalize previously considered cases.
Keywords: dynamical system, integrability, dissipation, transcendental first integral.
Presented: V. V. Kozlov
Received: 20.01.2020
Revised: 20.01.2020
Accepted: 23.01.2020
English version:
Doklady Mathematics, 2020, Volume 101, Issue 2, Pages 158–164
DOI: https://doi.org/10.1134/S1064562420020234
Bibliographic databases:
Document Type: Article
UDC: 517+531.01
Language: Russian
Citation: M. V. Shamolin, “New cases of integrable odd-order systems with dissipation”, Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020), 95–101; Dokl. Math., 101:2 (2020), 158–164
Citation in format AMSBIB
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\paper New cases of integrable odd-order systems with dissipation
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\vol 491
\pages 95--101
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\crossref{https://doi.org/10.31857/S268695432002023X}
\zmath{https://zbmath.org/?q=an:7424578}
\elib{https://elibrary.ru/item.asp?id=42860673}
\transl
\jour Dokl. Math.
\yr 2020
\vol 101
\issue 2
\pages 158--164
\crossref{https://doi.org/10.1134/S1064562420020234}
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    • This publication is cited in the following 34 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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