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Regular and Chaotic Dynamics, 2006, Volume 11, Issue 3, Pages 337–342
DOI: https://doi.org/10.1070/RD2006v011n03ABEH000357
(Mi rcd680)
 

This article is cited in 4 scientific papers (total in 4 papers)

On the existence of motions in the generalized 4th Appelrot class

M. P. Kharlamov, E. G. Shvedov

Volgograd Academy for Public Administration, 8, Gagarina Str., Volgograd 400131, Russia
Citations (4)
Abstract: The article continues the investigations of bifurcation diagrams of the Kowalevski top in two constant fields started by the first author in [10], [1]. We analyze the admissible values of two almost everywhere independent integrals arising on the invariant submanifold that generalizes the so-called 4th Appelrot class of the Kowalevski top in the field of gravity.
Keywords: Kowalevski top, double field, critical set.
Received: 15.05.2006
Accepted: 18.07.2006
Bibliographic databases:
Document Type: Article
MSC: 70E17, 70G40
Language: English
Citation: M. P. Kharlamov, E. G. Shvedov, “On the existence of motions in the generalized 4th Appelrot class”, Regul. Chaotic Dyn., 11:3 (2006), 337–342
Citation in format AMSBIB
\Bibitem{KhaShv06}
\by M. P. Kharlamov, E. G. Shvedov
\paper On the existence of motions in the generalized 4th Appelrot class
\jour Regul. Chaotic Dyn.
\yr 2006
\vol 11
\issue 3
\pages 337--342
\mathnet{http://mi.mathnet.ru/rcd680}
\crossref{https://doi.org/10.1070/RD2006v011n03ABEH000357}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2286564}
\zmath{https://zbmath.org/?q=an:1164.70303}
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  • https://www.mathnet.ru/eng/rcd/v11/i3/p337
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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