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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 1, Pages 73–80
DOI: https://doi.org/10.1070/RD2002v007n01ABEH000197 (Mi rcd804) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Nonholonomic Systems

Non-Integrability of the Suslov Problem

A. J. Maciejewskia, M. Przybylskab

a Institute of Astronomy, University of Zielona Góra, Lubuska 2, 65-265 Zielona Góra, Poland
b Toruń Centre for Astronomy, Nicholaus Copernicus University, Gagarina 11, 87–100 Toruń, Poland
Citations (12)
DOI: https://doi.org/10.1070/RD2002v007n01ABEH000197
Abstract: In this paper we study integrability of the classical Suslov problem. We prove that in a version of this problem introduced by V.V. Kozlov the problem is integrable only in one known case. We consider also a generalisation of Kozlov version and prove that the system is not integrable. Our proofs are based on the Morales–Ramis theory.
Received: 28.01.2002
Bibliographic databases:
Document Type: Personalia
MSC: 70E18, 70E40
Language: English
Citation: A. J. Maciejewski, M. Przybylska, “Non-Integrability of the Suslov Problem”, Regul. Chaotic Dyn., 7:1 (2002), 73–80
Citation in format AMSBIB
\Bibitem{MacPrz02}
\by A. J. Maciejewski, M.~Przybylska
\paper Non-Integrability of the Suslov Problem
\jour Regul. Chaotic Dyn.
\yr 2002
\vol 7
\issue 1
\pages 73--80
\mathnet{http://mi.mathnet.ru/rcd804}
\crossref{https://doi.org/10.1070/RD2002v007n01ABEH000197}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1900056}
\zmath{https://zbmath.org/?q=an:1013.70007}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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