Funktsional'nyi Analiz i ego Prilozheniya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Funktsional. Anal. i Prilozhen.:
Year:
Volume:
Issue:
Page:
Find




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

Funktsional'nyi Analiz i ego Prilozheniya, 2024, Volume 58, Issue 3, Pages 89–105
DOI: https://doi.org/10.4213/faa4115 (Mi faa4115) 		 
On the absence of an additional real-analytic first integral in the problem of the motion of a dynamically symmetric heavy rigid body about a fixed point

S. L. Ziglin

Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia
Full-text PDF (624 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/faa4115
Abstract: We consider the problem of the motion of a dynamically symmetric heavy rigid body about a fixed point and give a detailed proof that the problem has no additional real-analytic first integral in all but the well-known classical cases.
Keywords: monodromy group, fundamental group.
Received: 03.04.2023
Revised: 10.08.2023
Accepted: 24.08.2023
Published: 01.08.2024
English version:
Functional Analysis and Its Applications, 2024, Volume 58, Issue 3, Pages 299–312
DOI: https://doi.org/10.1134/S0016266324030067
Bibliographic databases:
Document Type: Article
MSC: 37J35
Language: Russian
Citation: S. L. Ziglin, “On the absence of an additional real-analytic first integral in the problem of the motion of a dynamically symmetric heavy rigid body about a fixed point”, Funktsional. Anal. i Prilozhen., 58:3 (2024), 89–105; Funct. Anal. Appl., 58:3 (2024), 299–312
Citation in format AMSBIB
\Bibitem{Zig24}
\by S.~L.~Ziglin
\paper On the absence of an additional real-analytic first integral in~the problem of the motion of a dynamically symmetric heavy~rigid~body about a fixed point
\jour Funktsional. Anal. i Prilozhen.
\yr 2024
\vol 58
\issue 3
\pages 89--105
\mathnet{http://mi.mathnet.ru/faa4115}
\crossref{https://doi.org/10.4213/faa4115}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4902462}
\transl
\jour Funct. Anal. Appl.
\yr 2024
\vol 58
\issue 3
\pages 299--312
\crossref{https://doi.org/10.1134/S0016266324030067}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=001342012800003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85206473001}
Linking options:
  • https://www.mathnet.ru/eng/faa4115
  • https://doi.org/10.4213/faa4115
  • https://www.mathnet.ru/eng/faa/v58/i3/p89
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025