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Regular and Chaotic Dynamics, 2000, Volume 5, Issue 2, Pages 157–170
DOI: https://doi.org/10.1070/RD2000v005n02ABEH000138 (Mi rcd869) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Continuous Averaging in Multi-frequency Slow-fast Systems

A. V. Pronina, D. V. Treschevb

a Moscow State University, Vorob'ievy Gory, V 10-50, Main Building, 119899, Moscow, Russia
b Faculty of Mechanics and Mathematics, Department of Theoretical Mechanics, Moscow State University, Vorob'ievy Gory, 119899, Moscow, Russia
Citations (12)
DOI: https://doi.org/10.1070/RD2000v005n02ABEH000138
Abstract: It is well-known that in real-analytic multi-frequency slow-fast ODE systems the dependence of the right-hand sides on fast angular variables can be reduced to an exponentially small order by a near-identical change of the variables. Realistic constructive estimates for the corresponding exponentially small terms are obtained.
Received: 12.12.1999
Bibliographic databases:
Document Type: Article
MSC: 34C15, 34C20, 58F27, 70H05
Language: English
Citation: A. V. Pronin, D. V. Treschev, “Continuous Averaging in Multi-frequency Slow-fast Systems”, Regul. Chaotic Dyn., 5:2 (2000), 157–170
Citation in format AMSBIB
\Bibitem{ProTre00}
\by A. V. Pronin, D. V. Treschev
\paper Continuous Averaging in Multi-frequency Slow-fast Systems
\jour Regul. Chaotic Dyn.
\yr 2000
\vol 5
\issue 2
\pages 157--170
\mathnet{http://mi.mathnet.ru/rcd869}
\crossref{https://doi.org/10.1070/RD2000v005n02ABEH000138}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1780707}
\zmath{https://zbmath.org/?q=an:0977.34040}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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