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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 4, Pages 663–685 (Mi jmag323)  

Normal forms of billiards

S. V. Naydenov, V. V. Yanovskii

Institute for Single Crystals, National Academy of Sciences of Ukraine, Kharkov
Abstract: The theory for normal billiard forms as a new class of reversible dynamic systems with projective involution is created. The qualitative analysis is carried out for regular points of billiard mapping that are close to the cycles of arbitrary order and about the diagonal of symmetric phase space.
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. V. Naydenov, V. V. Yanovskii, “Normal forms of billiards”, Mat. Fiz. Anal. Geom., 9:4 (2002), 663–685
Citation in format AMSBIB
\Bibitem{NayYan02}
\by S.~V.~Naydenov, V.~V.~Yanovskii
\paper Normal forms of billiards
\jour Mat. Fiz. Anal. Geom.
\yr 2002
\vol 9
\issue 4
\pages 663--685
\mathnet{http://mi.mathnet.ru/jmag323}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1965306}
\zmath{https://zbmath.org/?q=an:1061.37023}
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  • https://www.mathnet.ru/eng/jmag/v9/i4/p663
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