Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2013, Volume 125, Pages 3–251 (Mi into147)  

This article is cited in 35 scientific papers (total in 35 papers)

Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields

M. V. Shamolin

Lomonosov Moscow State University, Institute of Mechanics
Abstract: This paper is a survey of integrable cases in dynamics of two-, three-, and four-dimensional rigid bodies under the action of a nonconservative force field. We review both new results and results obtained earlier. Problems examined are described by dynamical systems with so-called variable dissipation with zero mean.
Funding agency Grant number
Russian Foundation for Basic Research 12-01-00020_а
English version:
Journal of Mathematical Sciences (New York), 2015, Volume 204, Issue 4, Pages 379–530
DOI: https://doi.org/10.1007/s10958-014-2209-0
Document Type: Article
UDC: 517.9+531.01+531.552
Language: Russian
Citation: M. V. Shamolin, “Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields”, Dynamical systems, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 125, VINITI, Moscow, 2013, 3–251; J. Math. Sci. (N. Y.), 204:4 (2015), 379–530
Citation in format AMSBIB
\Bibitem{Sha13}
\by M.~V.~Shamolin
\paper Variety of integrable cases in dynamics of low- and multi-dimensional rigid bodies in nonconservative force fields
\inbook Dynamical systems
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2013
\vol 125
\pages 3--251
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into147}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2015
\vol 204
\issue 4
\pages 379--530
\crossref{https://doi.org/10.1007/s10958-014-2209-0}
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  • This publication is cited in the following 35 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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