More ergodic billiards with an infinite cusp
| dc.creator | Lenci, Marco | |
| dc.date | 2002-01-27 | |
| dc.date.accessioned | 2026-07-07T05:33:52Z | |
| dc.date.available | 2026-07-07T05:33:52Z | |
| dc.description | In a previous paper (nlin.CD/0107041) the following class of billiards was studied: For $f: [0, +\infty) \longrightarrow (0, +\infty)$ convex, sufficiently smooth, and vanishing at infinity, let the billiard table be defined by $Q$, the planar domain delimited by the positive $x$-semiaxis, the positive $y$-semiaxis, and the graph of $f$. For a large class of $f$ we proved that the billiard map was hyperbolic. Furthermore we gave an example of a family of $f$ that makes this map ergodic. Here we extend the latter result to a much wider class of functions. | |
| dc.description | 13 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/nlin/0201052 | |
| dc.identifier | http://arxiv.org/abs/nlin/0201052 | |
| dc.identifier | Chaos 13 (2003), no. 1, 105-111 | |
| dc.identifier | doi:10.1063/1.1539802 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80157 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Dynamical Systems | |
| dc.title | More ergodic billiards with an infinite cusp | |
| dc.type | text |