Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2008, Volume 199, Issue 6, Pages 871–890
DOI: https://doi.org/10.1070/SM2008v199n06ABEH003945 (Mi sm3971) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Topological analysis of the motion of an ellipsoid on a smooth plane

M. Yu. Ivochkin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (500 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2008v199n06ABEH003945
Abstract: The problem of the motion of a dynamically and geometrically symmetric heavy ellipsoid on a smooth horizontal plane is investigated. The problem is integrable and can be considered a generalization of the problem of motion of a heavy rigid body with fixed point in the Lagrangian case. The Smale bifurcation diagrams are constructed. Surgeries of tori are investigated using methods developed by Fomenko and his students.
Bibliography: 9 titles.
Received: 01.11.2007
Russian version:
Matematicheskii Sbornik, 2008, Volume 199, Number 6, Pages 85–104
DOI: https://doi.org/10.4213/sm3971
Bibliographic databases:
UDC: 514.853
MSC: 37J35, 70H06
Language: English
Original paper language: Russian
Citation: M. Yu. Ivochkin, “Topological analysis of the motion of an ellipsoid on a smooth plane”, Mat. Sb., 199:6 (2008), 85–104; Sb. Math., 199:6 (2008), 871–890
Citation in format AMSBIB
\Bibitem{Ivo08}
\by M.~Yu.~Ivochkin
\paper Topological analysis of the motion of an ellipsoid on a~smooth plane
\jour Mat. Sb.
\yr 2008
\vol 199
\issue 6
\pages 85--104
\mathnet{http://mi.mathnet.ru/sm3971}
\crossref{https://doi.org/10.4213/sm3971}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2435274}
\zmath{https://zbmath.org/?q=an:1154.37023}
\elib{https://elibrary.ru/item.asp?id=20359334}
\transl
\jour Sb. Math.
\yr 2008
\vol 199
\issue 6
\pages 871--890
\crossref{https://doi.org/10.1070/SM2008v199n06ABEH003945}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000259031600010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-52049088764}
Linking options:
  • https://www.mathnet.ru/eng/sm3971
  • https://doi.org/10.1070/SM2008v199n06ABEH003945
  • https://www.mathnet.ru/eng/sm/v199/i6/p85
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:710
    Russian version PDF:294
    English version PDF:16
    References:91
    First page:12
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024