Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Dokl. RAN. Math. Inf. Proc. Upr.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
References:
PDF
HTML
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
\Bibitem{Den22}
\by N.~V.~Denisova
\paper On the dynamics of systems with two degrees of freedom
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 502
\pages 5--10
\mathnet{http://mi.mathnet.ru/danma229}
\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}
Linking options:
  • https://www.mathnet.ru/eng/danma229
  • https://www.mathnet.ru/eng/danma/v502/p5
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
    Statistics & downloads:
    Abstract page:196
    References:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024