Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2007, Volume 3, Number 3, Pages 255–296 (Mi nd140)  

This article is cited in 5 scientific papers (total in 5 papers)

Asymptotic stability and associated problems of dynamics of falling rigid body

A. V. Borisovabc, V. V. Kozlovd, I. S. Mamaevabc

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Udmurt State University
c Institute of Computer Science
d Steklov Mathematical Institute, Russian Academy of Sciences
Abstract: We consider two problems from the rigid body dynamics and use new methods of stability and asymptotic behavior analysis for their solution. The first problem deals with motion of a rigid body in an unbounded volume of ideal fluid with zero vorticity. The second problem, having similar asymptotic behavior, is concerned with motion of a sleigh on an inclined plane. The equations of motion for the second problem are non-holonomic and exhibit some new features not typical for Hamiltonian systems. A comprehensive survey of references is given and new problems connected with falling motion of heavy bodies in fluid are proposed.
Keywords: nonholonomic mechanics, rigid body, ideal fluid, resisting medium.
Document Type: Article
MSC: 74F10, 93D20
Language: Russian
Citation: A. V. Borisov, V. V. Kozlov, I. S. Mamaev, “Asymptotic stability and associated problems of dynamics of falling rigid body”, Nelin. Dinam., 3:3 (2007), 255–296
Citation in format AMSBIB
\Bibitem{BorKozMam07}
\by A.~V.~Borisov, V.~V.~Kozlov, I.~S.~Mamaev
\paper Asymptotic stability and associated problems of dynamics of falling rigid body
\jour Nelin. Dinam.
\yr 2007
\vol 3
\issue 3
\pages 255--296
\mathnet{http://mi.mathnet.ru/nd140}
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  • https://www.mathnet.ru/eng/nd/v3/i3/p255
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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