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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 300, Pages 25–55 (Mi znsl961)  
This article is cited in 24 scientific papers (total in 24 papers)

Splitting of separatrices for the Chirikov standard map

V. F. Lazutkin
Full-text PDF (453 kB) Citations (24)
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Abstract: This paper is an English translation (made by V. Gelfreich) of V. F. Lazutkin's work that was published in 1984 by VINITI and thus was not easily available for readers. In the paper, a formula for an exponentially small angle of separatrix splitting of the Chirikov standard map was obtained for the first time.
Received: 11.11.1984
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 128, Issue 2, Pages 2687–2705
DOI: https://doi.org/10.1007/s10958-005-0219-7
Bibliographic databases:
UDC: 534
Language: English
Citation: V. F. Lazutkin, “Splitting of separatrices for the Chirikov standard map”, Representation theory, dynamical systems. Part VIII, Special issue, Zap. Nauchn. Sem. POMI, 300, POMI, St. Petersburg, 2003, 25–55; J. Math. Sci. (N. Y.), 128:2 (2005), 2687–2705
Citation in format AMSBIB
\Bibitem{Laz03}
\by V.~F.~Lazutkin
\paper Splitting of separatrices for the Chirikov standard map
\inbook Representation theory, dynamical systems. Part~VIII
\bookinfo Special issue
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 300
\pages 25--55
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl961}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1993024}
\zmath{https://zbmath.org/?q=an:1120.37039}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 128
\issue 2
\pages 2687--2705
\crossref{https://doi.org/10.1007/s10958-005-0219-7}
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  • https://www.mathnet.ru/eng/znsl/v300/p25
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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