Periodic billiard orbits in right triangle

Details Periodic billiard orbits in right triangle Periodic billiard orbits in right triangle

2004-05-14

arxiv.org/abs/math/0405280v1

Annales de l'Institut Fourier 55 (2005) 29-46

Mathematics

Dynamical Systems

Scientific paper

There is an open set of right triangles such that for each irrational
triangle in this set (i) periodic billiards orbits are dense in the phase
space, (ii) there is a unique nonsingular perpendicular billiard orbit which is
not periodic, and (iii) the perpendicular periodic orbits fill the
corresponding invariant surface.

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