Periodic billiard orbits are dense in rational polygons-Reference-Cited by-同舟云学术

Periodic billiard orbits are dense in rational polygons

Published:1998 Issue:9 Volume:350 Page:3523-3535
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Boshernitzan M.,Galperin G.,Krüger T.,Troubetzkoy S.

Abstract

We show that periodic orbits are dense in the phase space for billiards in polygons for which the angle between each pair of sides is a rational multiple of π . \pi .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1998-350-09/S0002-9947-98-02089-3/S0002-9947-98-02089-3.pdf

Reference15 articles.

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4. Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences];Cornfeld, I. P.,1982

5. Local instability of orbits in polygonal and polyhedral billiards;Gal′perin, G.;Comm. Math. Phys.,1995

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