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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 235, Pages 184–192 (Mi znsl3646)  
Non-degenerate systems and generic properties of the integrable Hamiltonian systems

V. V. Kalashnikov

Московский государственный университет
Full-text PDF (494 kB)
Abstract: The goal of the paper is to clarify whether the non-degenerate Hamiltinian systems are “typical” among all integrable systems. The importance of this problem is emphasized by a theorem of Fomenko–Zieschang, in which an isoenergy invariant determining the nondegenerate systems up to topological equivalence is constructed. Bibl. 12 titles.
Received: 20.10.1995
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 94, Issue 4, Pages 1558–1563
DOI: https://doi.org/10.1007/BF02365201
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: English
Citation: V. V. Kalashnikov, “Non-degenerate systems and generic properties of the integrable Hamiltonian systems”, Differential geometry, Lie groups and mechanics. Part 15–2, Zap. Nauchn. Sem. POMI, 235, POMI, St. Petersburg, 1996, 184–192; J. Math. Sci. (New York), 94:4 (1999), 1558–1563
Citation in format AMSBIB
\Bibitem{Kal96}
\by V.~V.~Kalashnikov
\paper Non-degenerate systems and generic properties of the integrable Hamiltonian systems
\inbook Differential geometry, Lie groups and mechanics. Part~15--2
\serial Zap. Nauchn. Sem. POMI
\yr 1996
\vol 235
\pages 184--192
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3646}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1856094}
\zmath{https://zbmath.org/?q=an:0936.37026}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 94
\issue 4
\pages 1558--1563
\crossref{https://doi.org/10.1007/BF02365201}
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