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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 1, Pages 67–81
DOI: https://doi.org/10.1070/RD2003v008n01ABEH000226 (Mi rcd766) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Dynamics of billiards

On Polygonal Dual Billiard in the Hyperbolic Plane

F. Dogru, S. Tabachnikov

Department of Mathematics, Penn State University, University Park, PA 16802, USA
Citations (7)
DOI: https://doi.org/10.1070/RD2003v008n01ABEH000226
Abstract: We study the polygonal dual billiard map in the hyperbolic plane. We show that for a class of convex polygons called large all orbits of the dual billiard map escape to infinity. We also analyse the dynamics of the dual billiard map when the dual billiard table is a regular polygon with all right angles.
Received: 26.03.2002
Bibliographic databases:
Document Type: Article
MSC: 37E99
Language: English
Citation: F. Dogru, S. Tabachnikov, “On Polygonal Dual Billiard in the Hyperbolic Plane”, Regul. Chaotic Dyn., 8:1 (2003), 67–81
Citation in format AMSBIB
\Bibitem{DogTab03}
\by F.~Dogru, S. Tabachnikov
\paper On Polygonal Dual Billiard in the Hyperbolic Plane
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 1
\pages 67--81
\mathnet{http://mi.mathnet.ru/rcd766}
\crossref{https://doi.org/10.1070/RD2003v008n01ABEH000226}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1963969}
\zmath{https://zbmath.org/?q=an:1075.37524}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8...67D}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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