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Regular and Chaotic Dynamics, 2000, Volume 5, Issue 2, Pages 181–188
DOI: https://doi.org/10.1070/RD2000v005n02ABEH000140 (Mi rcd871) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Convergence of Coordinate Transformations in the KAM Procedure

M. B. Sevryuk

Institute of Energy Problems of Chemical Physics, The Russian Academy of Sciences, Lenin prospect 38, Bldg. 2, 117829, Moscow, Russia
Citations (2)
DOI: https://doi.org/10.1070/RD2000v005n02ABEH000140
Abstract: We study the $C^r$-convergence of the compositions $W_n = U_1 U_2 \cdots U_n$ where mappings $U_k$ tend to the identity transformation in the $C^r$-topology as $k \to \infty$. The cases $r = 0$ and $1 \geqslant r < +\infty$ turn out to be drastically different.
Received: 25.08.1999
Bibliographic databases:
Document Type: Article
MSC: 26B05, 26B40, 34C50
Language: English
Citation: M. B. Sevryuk, “On the Convergence of Coordinate Transformations in the KAM Procedure”, Regul. Chaotic Dyn., 5:2 (2000), 181–188
Citation in format AMSBIB
\Bibitem{Sev00}
\by M. B. Sevryuk
\paper On the Convergence of Coordinate Transformations in the KAM Procedure
\jour Regul. Chaotic Dyn.
\yr 2000
\vol 5
\issue 2
\pages 181--188
\mathnet{http://mi.mathnet.ru/rcd871}
\crossref{https://doi.org/10.1070/RD2000v005n02ABEH000140}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1780709}
\zmath{https://zbmath.org/?q=an:0980.70011}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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