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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 497, Pages 23–30
DOI: https://doi.org/10.31857/S2686954321020041 (Mi danma165) 		 
This article is cited in 19 scientific papers (total in 19 papers)

MATHEMATICS

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

M. V. Shamolin

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (161 kB) Citations (19)
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DOI: https://doi.org/10.31857/S2686954321020041
Abstract: The integrability of certain classes of homogeneous dynamical systems on the tangent bundles of four-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: 27.01.2021
Revised: 27.01.2021
Accepted: 27.01.2021
English version:
Doklady Mathematics, 2021, Volume 103, Issue 2, Pages 85–91
DOI: https://doi.org/10.1134/S1064562421020046
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 four-dimensional manifolds”, Dokl. RAN. Math. Inf. Proc. Upr., 497 (2021), 23–30; Dokl. Math., 103:2 (2021), 85–91
Citation in format AMSBIB
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    • This publication is cited in the following 19 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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