ABSTRACT
Introduction A particle falling down, in a constant gravitational fi eld, on a moving platform is called a bouncing ball problem, or a bouncer. This model was suggested more than thirty years ago
[1,2] as an alternative to the Fermi-Ulam model [3] of cosmic ray acceleration [4]. In the ensuing years many approaches to the bouncer model have been studied theoretically and experimentally [5,8]. It has been proved to be a useful system for experimentally exploring several new nonlinear effects [9,10]. Moreover, it has been implemented into a number of engineering applications [11,12].
