Periodic billiard orbits in right triangle
动力系统
2009-06-15 v1
摘要
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.
引用
@article{arxiv.math/0405280,
title = {Periodic billiard orbits in right triangle},
author = {Serge Troubetzkoy},
journal= {arXiv preprint arXiv:math/0405280},
year = {2009}
}