Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 3, Pages 78–81 (Mi vmumm4243)  

This article is cited in 1 scientific paper (total in 1 paper)

Mechanics

Reduction to normal form of equations of a canonical system depending on a parameter

D. A. Onishchenko
Full-text PDF (742 kB) Citations (1)
Abstract: A canonical system with the Hamiltonian depending on a parameter is considered in the case of two degrees of freedom. The existence of the canonical transformation which brings the Hamiltonian to the Birkhoff normal form is proved for all values of the parameter when the system has the first integral independent on the integral of the energy.
Received: 25.06.1981
Bibliographic databases:
Document Type: Article
UDC: 531.01
Language: Russian
Citation: D. A. Onishchenko, “Reduction to normal form of equations of a canonical system depending on a parameter”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 3, 78–81
Citation in format AMSBIB
\Bibitem{Oni82}
\by D.~A.~Onishchenko
\paper Reduction to normal form of equations of a canonical system depending on a parameter
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1982
\issue 3
\pages 78--81
\mathnet{http://mi.mathnet.ru/vmumm4243}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0671064}
\zmath{https://zbmath.org/?q=an:0505.70021}
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  • https://www.mathnet.ru/eng/vmumm/y1982/i3/p78
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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