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Regular and Chaotic Dynamics, 1997, Volume 2, Issue 3-4, Pages 9–20
DOI: https://doi.org/10.1070/RD1997v002n03ABEH000043 (Mi rcd992) 		 
This article is cited in 3 scientific papers (total in 4 papers)

On the 60th birthday of V.I.Arnold

The method of continuous averaging in the problem of separation of fast and slow motions

D. V. Treschev

119899, Russia, Moscow, Vorobyovy Gory, Moscow State University, Faculty of Mechanics and Mathematics, Department of Theoretical Mechanics
Full-text PDF Citations (4)
DOI: https://doi.org/10.1070/RD1997v002n03ABEH000043
Abstract: Neishtadt has proved that in the problem of fast phase averaging in an analytic system of ODE the dependence on the fast variable can be reduced to the terms which are exponentially small in the small parameter. The paper contains realistic estimates for these terms. These estimates essentially depend on properties of the first order averaged system.
Received: 24.05.1997
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. V. Treschev, “The method of continuous averaging in the problem of separation of fast and slow motions”, Regul. Chaotic Dyn., 2:3-4 (1997), 9–20
Citation in format AMSBIB
\Bibitem{Tre97}
\by D.~V.~Treschev
\paper The method of continuous averaging in the problem of separation of fast and slow motions
\jour Regul. Chaotic Dyn.
\yr 1997
\vol 2
\issue 3-4
\pages 9--20
\mathnet{http://mi.mathnet.ru/rcd992}
\crossref{https://doi.org/10.1070/RD1997v002n03ABEH000043}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1701174}
\zmath{https://zbmath.org/?q=an:0923.34048}
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    • This publication is cited in the following 4 articles:
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