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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 1, Pages 21–30
DOI: https://doi.org/10.1070/RD2002v007n01ABEH000192
(Mi rcd799)
 

This article is cited in 6 scientific papers (total in 6 papers)

Nonholonomic Systems

Generalization of the Goryachev–Chaplygin Case

A. V. Borisova, I. S. Mamaevb

a Department of Theoretical Mechanics, Moscow State University, Vorob'ievy Gory, 119899, Moscow, Russia
b Laboratory of Dynamical Chaos and Nonlinearity, Udmurt State University, Universitetskaya, 1, 426034, Izhevsk, Russia
Citations (6)
Abstract: In this paper we present a generalization of the Goryachev–Chaplygin integrable case on a bundle of Poisson brackets, and on Sokolov terms in his new integrable case of Kirchhoff equations. We also present a new analogous integrable case for the quaternion form of rigid body dynamics equations. This form of equations is recently developed and we can use it for the description of rigid body motions in specific force fields, and for the study of different problems of quantum mechanics. In addition we present new invariant relations in the considered problems.
Received: 20.12.2001
Bibliographic databases:
Document Type: Personalia
MSC: 37J35, 70E17
Language: English
Citation: A. V. Borisov, I. S. Mamaev, “Generalization of the Goryachev–Chaplygin Case”, Regul. Chaotic Dyn., 7:1 (2002), 21–30
Citation in format AMSBIB
\Bibitem{BorMam02}
\by A. V. Borisov, I. S. Mamaev
\paper Generalization of the Goryachev–Chaplygin Case
\jour Regul. Chaotic Dyn.
\yr 2002
\vol 7
\issue 1
\pages 21--30
\mathnet{http://mi.mathnet.ru/rcd799}
\crossref{https://doi.org/10.1070/RD2002v007n01ABEH000192}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1900051}
\zmath{https://zbmath.org/?q=an:1013.70006}
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  • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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