Abstract
We study the polygonal dual billiard map in the hyperbolic plane. We show that for a class of convex polygons called large all orbits of the dual billiard map escape to infinity. We also analyse the dynamics of the dual billiard map when the dual billiard table is a regular polygon with all right angles.
Original language | English (US) |
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Pages (from-to) | 67-81 |
Number of pages | 15 |
Journal | Regular and Chaotic Dynamics |
Volume | 8 |
Issue number | 1 |
DOIs | |
State | Published - 2003 |
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)