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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 273–278 (Mi znsl1028)  
On exponentially small effects in dynamical systems with a small parameter

O. È. Zubelevich

M. V. Lomonosov Moscow State University
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Abstract: In the present paper we obtain a theorem which enables us to treat different exponentially small effects of dynamics from a unified point of view. As an example, we discuss the problem of fast phase averaging in non-autonomous Hamiltonian system with 3/2 degrees of freedom.
Received: 30.11.2002
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2839–2842
DOI: https://doi.org/10.1007/s10958-005-0243-7
Bibliographic databases:
UDC: 531.01
Language: English
Citation: O. È. Zubelevich, “On exponentially small effects in dynamical systems with a small parameter”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 273–278; J. Math. Sci. (N. Y.), 128:2 (2005), 2839–2842
Citation in format AMSBIB
\Bibitem{Zub03}
\by O.~\`E.~Zubelevich
\paper On exponentially small effects in dynamical systems with a~small parameter
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 273--278
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1028}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1995369}
\zmath{https://zbmath.org/?q=an:1120.37011}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2839--2842
\crossref{https://doi.org/10.1007/s10958-005-0243-7}
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