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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 on the motion of a dynamically symmetric heavy rigid body around a fixed point

S. L. Ziglin

Kotel'nikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, Moscow, Russia
References:
Abstract: We give the detailed proof of the absence of an additional real-analytic first integral in the problem on the motion of a dynamically symmetric heavy rigid body about a fixed point in all the cases, except the known classical ones.
Keywords: monodromy group, fundamental group.
Received: 03.04.2023
Revised: 10.08.2023
Accepted: 24.08.2023
Document Type: Article
MSC: 37J35
Language: Russian
Citation: S. L. Ziglin, “On the absence of an additional real-analytic first integral in the problem on the motion of a dynamically symmetric heavy rigid body around a fixed point”, Funktsional. Anal. i Prilozhen., 58:3 (2024), 89–105
Citation in format AMSBIB
\Bibitem{Zig24}
\by S.~L.~Ziglin
\paper On the absence of an additional real-analytic first integral in the problem on the motion of a dynamically symmetric heavy rigid body around 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}
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  • https://www.mathnet.ru/eng/faa4115
  • https://doi.org/10.4213/faa4115
  • https://www.mathnet.ru/eng/faa/v58/i3/p89
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