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Mathematics of the USSR-Sbornik, 1974, Volume 23, Issue 1, Pages 45–67
DOI: https://doi.org/10.1070/SM1974v023n01ABEH001713 (Mi sm3632) 		 
This article is cited in 44 scientific papers (total in 45 papers)

On billiards close to dispersing

L. A. Bunimovich
English version PDF (1412 kB) Citations (45) Russian version article
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DOI: https://doi.org/10.1070/SM1974v023n01ABEH001713
Abstract: One considers dynamical systems generated by billiards which are “perturbations” of dispersing billiards. It is shown that such dynamical systems are systems of A. N. Kolmogorov ($K$-systems), if the “perturbation” satisfies certain conditions which have an intuitive geometric interpretation.
Bibliography: 12 titles.
Received: 06.03.1973
Bibliographic databases:
UDC: 519.2
MSC: Primary 28A65; Secondary 54H20, 58F15
Language: English
Original paper language: Russian
Citation: L. A. Bunimovich, “On billiards close to dispersing”, Math. USSR-Sb., 23:1 (1974), 45–67
Citation in format AMSBIB
\Bibitem{Bun74}
\by L.~A.~Bunimovich
\paper On billiards close to dispersing
\jour Math. USSR-Sb.
\yr 1974
\vol 23
\issue 1
\pages 45--67
\mathnet{http://mi.mathnet.ru//eng/sm3632}
\crossref{https://doi.org/10.1070/SM1974v023n01ABEH001713}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=342677}
\zmath{https://zbmath.org/?q=an:0309.58018}
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  • https://www.mathnet.ru/eng/sm/v136/i1/p49
    • This publication is cited in the following 45 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:925
    Russian version PDF:259
    English version PDF:36
    References:98
    First page:2
     
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