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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 3, Pages 315–324
DOI: https://doi.org/10.1070/RD2002v007n03ABEH000213 (Mi rcd820) 		 
On Exponentially Small Effects in Dynamical Systems with a Small Parameter

O. Zubelevich

Department of Mechanics and Mathematics, Moscow State University, Vorob'ievy Gory, 119899, Moscow, Russia
DOI: https://doi.org/10.1070/RD2002v007n03ABEH000213
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 multi-frequency systems with slow variable belonging to Banach space.
Received: 12.03.2002
Bibliographic databases:
Document Type: Article
MSC: 34C27, 37J40, 70H08
Language: English
Citation: O. Zubelevich, “On Exponentially Small Effects in Dynamical Systems with a Small Parameter”, Regul. Chaotic Dyn., 7:3 (2002), 315–324
Citation in format AMSBIB
\Bibitem{Zub02}
\by O. Zubelevich
\paper On Exponentially Small Effects in Dynamical Systems with a Small Parameter
\jour Regul. Chaotic Dyn.
\yr 2002
\vol 7
\issue 3
\pages 315--324
\mathnet{http://mi.mathnet.ru/rcd820}
\crossref{https://doi.org/10.1070/RD2002v007n03ABEH000213}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931721}
\zmath{https://zbmath.org/?q=an:1035.34041}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2002RCD.....7..315Z}
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