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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2021, Volume 500, Pages 78–86
DOI: https://doi.org/10.31857/S2686954321050143 (Mi danma207) 		 
This article is cited in 18 scientific papers (total in 18 papers)

MATHEMATICS

New cases of integrability of systems of geodesics and potential and dissipative systems on tangent bundles of finite-dimensional manifolds

M. V. Shamolin

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (174 kB) Citations (18)
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DOI: https://doi.org/10.31857/S2686954321050143
Abstract: The integrability of certain classes of homogeneous geodesic, potential, and dissipative dynamical systems on the tangent bundles of finite-dimensional manifolds is shown. In this case, the force fields lead to variable-sign dissipation and generalize previously considered fields.
Keywords: dynamical system, geodesics, potential, integrability, dissipation, transcendental first integral.
Presented: V. V. Kozlov
Received: 27.04.2021
Revised: 05.07.2021
Accepted: 08.07.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 2, Pages 285–292
DOI: https://doi.org/10.1134/S1064562421050148
Bibliographic databases:
Document Type: Article
UDC: 517+531.01
Language: Russian
Citation: M. V. Shamolin, “New cases of integrability of systems of geodesics and potential and dissipative systems on tangent bundles of finite-dimensional manifolds”, Dokl. RAN. Math. Inf. Proc. Upr., 500 (2021), 78–86; Dokl. Math., 104:2 (2021), 285–292
Citation in format AMSBIB
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    • This publication is cited in the following 18 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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