Stability and instability results in a model of Fermi acceleration
| dc.creator | De Simoi, Jacopo | |
| dc.date | 2008-03-07 | |
| dc.date.accessioned | 2026-07-07T09:25:48Z | |
| dc.date.available | 2026-07-07T09:25:48Z | |
| dc.description | We consider the static wall approximation to the dynamics of a particle bouncing on a periodically oscillating infinitely heavy plate while subject to a potential force. We assume the case of a potential given by a power of the particle's height and sinusoidal motions of the plate. We find that for powers smaller than 1 the set of escaping orbits has full Hausdorff dimension for all motions and obtain existence of elliptic island of period 2 for arbitrarily high energies for a full-measure set of motions. Moreover we obtain conditions on the potential to ensure that the total (Lebesgue) measure of elliptic islands of period 2 is either finite or infinite. | |
| dc.description | 33 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/0803.1192 | |
| dc.identifier | http://arxiv.org/abs/0803.1192 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/156529 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37D25;37J40 | |
| dc.title | Stability and instability results in a model of Fermi acceleration | |
| dc.type | text |