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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 235, Pages 104–183 (Mi znsl3645)  
This article is cited in 4 scientific papers (total in 4 papers)

Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body

A. T. Fomenko

Московский государственный университет
Full-text PDF (3657 kB) Citations (4)
Abstract: Physical and mechanical systems with four-dimensional phase space are considered. The classification of nondegenerate integral systems is studied. A “physical zone”, i.e., the systems connected with real physical applications, is determined. Bibl. 27 titles.
Received: 02.04.1994
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 4, Pages 1512–1557
DOI: https://doi.org/10.1007/BF02365200
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: English
Citation: A. T. Fomenko, “Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a heavy rigid body”, Differential geometry, Lie groups and mechanics. Part 15–2, Zap. Nauchn. Sem. POMI, 235, POMI, St. Petersburg, 1996, 104–183; J. Math. Sci. (New York), 94:4 (1999), 1512–1557
Citation in format AMSBIB
\Bibitem{Fom96}
\by A.~T.~Fomenko
\paper Symplectic topology of integrable dynamical systems. Rough topological classification of classical cases of integrability in the dynamics of a~heavy rigid body
\inbook Differential geometry, Lie groups and mechanics. Part~15--2
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 235
\pages 104--183
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3645}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856093}
\zmath{https://zbmath.org/?q=an:0947.37037}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 4
\pages 1512--1557
\crossref{https://doi.org/10.1007/BF02365200}
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  • https://www.mathnet.ru/eng/znsl/v235/p104
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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