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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 502, Pages 5–10
DOI: https://doi.org/10.31857/S2686954322010027 (Mi danma229) 		 
MATHEMATICS

On the dynamics of systems with two degrees of freedom

N. V. Denisovaab

a Lomonosov Moscow State University, Moscow, Russia
b P.G. Demidov Yaroslavl State University, Yaroslavl, Russia
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DOI: https://doi.org/10.31857/S2686954322010027
Abstract: The dynamics of systems in a potential field is considered where kinetic energy can be presented in a conformal form. In the case of two degrees of freedom the conformal coordinates are always exists. It is assumed that more gyroscopic forces. At a fixed value of the total energy with by changing the time, the equations of motion are reduced to the simple the “universal” kind. The case of integrability of the equations motion at a fixed total energy.
Keywords: conformal coordinates, conditional integrals, invariant tori.
Funding agency Grant number
Russian Science Foundation 21-71-30011
This work was supported by the Russian Science Foundation, project no. 21-71-30011.
Presented: V. V. Kozlov
Received: 18.10.2021
Revised: 16.11.2021
Accepted: 18.11.2021
English version:
Doklady Mathematics, 2022, Volume 105, Issue 1, Pages 1–5
DOI: https://doi.org/10.1134/S1064562422010021
Bibliographic databases:
Document Type: Article
UDC: 531.01
Language: Russian
Citation: N. V. Denisova, “On the dynamics of systems with two degrees of freedom”, Dokl. RAN. Math. Inf. Proc. Upr., 502 (2022), 5–10; Dokl. Math., 105:1 (2022), 1–5
Citation in format AMSBIB
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\crossref{https://doi.org/10.31857/S2686954322010027}
\elib{https://elibrary.ru/item.asp?id=48050918}
\transl
\jour Dokl. Math.
\yr 2022
\vol 105
\issue 1
\pages 1--5
\crossref{https://doi.org/10.1134/S1064562422010021}
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