N ov 2 00 5 PERIODIC BILLIARD ORBITS IN RIGHT TRIANGLES II
نویسنده
چکیده
Periodic billiard orbits are dense in the phase space of an irrational right triangle. A stronger pointwise density result is also proven.
منابع مشابه
Periodic billiard orbits in right triangles
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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Periodic billiard orbits are dense in the phase space of an irrational right triangle. A stronger pointwise density result is also proven.
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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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