C D ] 1 0 M ar 2 00 9 A bouncing ball model with two nonlinearities : a prototype for Fermi acceleration

Some dynamical properties of a bouncing ball model under the presence of an external force modeled by two nonlinear terms are studied. The description of the model is made by use of a two dimensional nonlinear measure preserving map on the variables velocity of the particle and time. We show that raising the straight of a control parameter which controls… (More)