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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 495, Pages 84–90
DOI: https://doi.org/10.31857/S2686954320060247 (Mi danma140) 		 
This article is cited in 25 scientific papers (total in 25 papers)

MATHEMATICS

New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds

M. V. Shamolin

Lomonosov Moscow State University, Moscow, Russian Federation
Full-text PDF (166 kB) Citations (25)
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DOI: https://doi.org/10.31857/S2686954320060247
Abstract: The integrability of certain classes of homogeneous dynamical systems on the tangent bundles of three-dimensional manifolds is shown. The force fields involved in the systems lead to dissipation of variable sign and generalize previously considered fields.
Keywords: dynamical system, integrability, dissipation, transcendental first integral.
Presented: V. V. Kozlov
Received: 20.10.2020
Revised: 20.10.2020
Accepted: 12.11.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 3, Pages 518–523
DOI: https://doi.org/10.1134/S1064562420060265
Bibliographic databases:
Document Type: Article
UDC: 517+531.01
Language: Russian
Citation: M. V. Shamolin, “New cases of homogeneous integrable systems with dissipation on tangent bundles of three-dimensional manifolds”, Dokl. RAN. Math. Inf. Proc. Upr., 495 (2020), 84–90; Dokl. Math., 102:3 (2020), 518–523
Citation in format AMSBIB
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\pages 84--90
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\zmath{https://zbmath.org/?q=an:1482.37058}
\elib{https://elibrary.ru/item.asp?id=44367209}
\transl
\jour Dokl. Math.
\yr 2020
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\pages 518--523
\crossref{https://doi.org/10.1134/S1064562420060265}
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    • This publication is cited in the following 25 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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