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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2020, Volume 494, Pages 105–111
DOI: https://doi.org/10.31857/S2686954320050422 (Mi danma120) 		 
This article is cited in 23 scientific papers (total in 23 papers)

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

M. V. Shamolin

Lomonosov Moscow State University, Moscow, Russian Federation
Full-text PDF (156 kB) Citations (23)
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DOI: https://doi.org/10.31857/S2686954320050422
Abstract: The integrability of certain classes of homogeneous dynamical systems on the tangent bundles of two-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: 15.07.2020
Revised: 21.07.2020
Accepted: 21.07.2020
English version:
Doklady Mathematics, 2020, Volume 102, Issue 2, Pages 443–448
DOI: https://doi.org/10.1134/S1064562420050403
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 two-dimensional manifolds”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 105–111; Dokl. Math., 102:2 (2020), 443–448
Citation in format AMSBIB
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\paper New cases of homogeneous integrable systems with dissipation on tangent bundles of two-dimensional manifolds
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\elib{https://elibrary.ru/item.asp?id=44344659}
\transl
\jour Dokl. Math.
\yr 2020
\vol 102
\issue 2
\pages 443--448
\crossref{https://doi.org/10.1134/S1064562420050403}
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    • This publication is cited in the following 23 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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