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, 2021, Volume 501, Pages 89–94
DOI: https://doi.org/10.31857/S2686954321060163 (Mi danma227) 		 
This article is cited in 17 scientific papers (total in 17 papers)

MATHEMATICS

Tensor invariants of geodesic, potential, and dissipative systems on tangent bundles of two-dimensional manifolds

M. V. Shamolin

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (130 kB) Citations (17)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S2686954321060163
Abstract: Tensor invariants (differential forms) for homogeneous dynamical systems on tangent bundles of smooth two-dimensional manifolds are presented. The connection between the presence of these invariants and the full set of first integrals necessary for the integration of geodesic, potential, and dissipative systems is shown. The force fields introduced into the considered systems make them dissipative with dissipation of different signs and generalize previously considered force fields.
Keywords: dynamical system, integrability, dissipation, transcendental first integral, invariant differential form.
Presented: V. V. Kozlov
Received: 14.10.2021
Revised: 14.10.2021
Accepted: 22.11.2021
English version:
Doklady Mathematics, 2021, Volume 104, Issue 3, Pages 394–398
DOI: https://doi.org/10.1134/S1064562421060168
Bibliographic databases:
Document Type: Article
UDC: 517+531.01
Language: Russian
Citation: M. V. Shamolin, “Tensor invariants of geodesic, potential, and dissipative systems on tangent bundles of two-dimensional manifolds”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021), 89–94; Dokl. Math., 104:3 (2021), 394–398
Citation in format AMSBIB
\Bibitem{Sha21}
\by M.~V.~Shamolin
\paper Tensor invariants of geodesic, potential, and dissipative systems on tangent bundles of two-dimensional manifolds
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2021
\vol 501
\pages 89--94
\mathnet{http://mi.mathnet.ru/danma227}
\crossref{https://doi.org/10.31857/S2686954321060163}
\zmath{https://zbmath.org/?q=an:7503286}
\elib{https://elibrary.ru/item.asp?id=47371425}
\transl
\jour Dokl. Math.
\yr 2021
\vol 104
\issue 3
\pages 394--398
\crossref{https://doi.org/10.1134/S1064562421060168}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85127626675}
Linking options:
  • https://www.mathnet.ru/eng/danma227
  • https://www.mathnet.ru/eng/danma/v501/p89
    • This publication is cited in the following 17 articles:
    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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024