Glancing billiards
- 1 December 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 2 (3-4) , 397-403
- https://doi.org/10.1017/s0143385700001681
Abstract
Consider the billiard ball problem in an open, convex, bounded region of the plane whose boundary is C2 and has at least one point of zero curvature. Then there are trajectories which come arbitrarily close to being positively tangent to the boundary and also come arbitrarily close to being negatively tangent to the boundary.Keywords
This publication has 3 references indexed in Scilit:
- On the ergodic properties of nowhere dispersing billiardsCommunications in Mathematical Physics, 1979
- THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAINMathematics of the USSR-Izvestiya, 1973
- Surface transformations and their dynamical applicationsActa Mathematica, 1922