An Infinite Step Billiard
| dc.creator | Esposti, Mirko Degli | |
| dc.creator | Del Magno, Gianluigi | |
| dc.creator | Lenci, Marco | |
| dc.date | 1997-09-03 | |
| dc.date.accessioned | 2026-07-07T09:08:07Z | |
| dc.date.available | 2026-07-07T09:08:07Z | |
| dc.description | A class of non-compact billiards is introduced, namely the infinite step billiards, i.e., systems of a point particle moving freely in the domain $Ω= \bigcup_{n\in\N} [n,n+1] \times [0,p_n]$, with elastic reflections on the boundary; here $p_0 = 1, p_n > 0$ and $p_n$ vanishes monotonically. After describing some generic ergodic features of these dynamical systems, we turn to a more detailed study of the example $p_n = 2^{-n}$. What plays an important role in this case are the so called escape orbits, that is, orbits going to $+\infty$ monotonically in the X-velocity. A fairly complete description of them is given. This enables us to prove some results concerning the topology of the dynamics on the billiard. | |
| dc.description | 34 pages in LaTeX 2.09 including 8 ps figures (with psfig.tex) | |
| dc.identifier | https://arxiv.org/abs/chao-dyn/9709006 | |
| dc.identifier | http://arxiv.org/abs/chao-dyn/9709006 | |
| dc.identifier | Nonlinearity 11 (1998), no. 4, 991-1013 | |
| dc.identifier | doi:10.1088/0951-7715/11/4/013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150609 | |
| dc.subject | Chaotic Dynamics | |
| dc.title | An Infinite Step Billiard | |
| dc.type | text |