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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 1, Pages 29–44
DOI: https://doi.org/10.1070/RD2003v008n01ABEH000224 (Mi rcd763) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Dynamics of billiards

Periodic Billiard Trajectories in Right Triangle

G. Galperina, D. Zvonkineb

a Department of Mathematics, Eastern Illinois University, USA
b LaBRI, Université Bordeaux I, FRANCE
Citations (3)
DOI: https://doi.org/10.1070/RD2003v008n01ABEH000224
Abstract: This paper is dedicated to periodic billiard trajectories in right triangles and right-angled tetrahedra. We construct a specific type of periodic trajectories and show that the trajectories of this type fill the right triangle entirely. Then we establish the instability of all known types of periodic trajectories in right triangles. Finally, some of these results are generalized to the $n$-dimensional case and are given a mechanical interpretation.
Received: 05.10.2002
Bibliographic databases:
Document Type: Article
MSC: 37E99, 37E15
Language: English
Citation: G. Galperin, D. Zvonkine, “Periodic Billiard Trajectories in Right Triangle”, Regul. Chaotic Dyn., 8:1 (2003), 29–44
Citation in format AMSBIB
\Bibitem{GalZvo03}
\by G. Galperin, D. Zvonkine
\paper Periodic Billiard Trajectories in Right Triangle
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 1
\pages 29--44
\mathnet{http://mi.mathnet.ru/rcd763}
\crossref{https://doi.org/10.1070/RD2003v008n01ABEH000224}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1963966}
\zmath{https://zbmath.org/?q=an:1023.37021}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8...29G}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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