Global ballistic acceleration in a bouncing-ball model

Made available in DSpace on 2022-04-28T19:01:23Z (GMT). No. of bitstreams: 0 Previous issue date: 2015-07-06 The ballistic increase for the velocity of a particle in a bouncing-ball model was investigated. The phenomenon is caused by accelerating structures in phase space known as accelerator modes. They lead to a regular and monotonic increase of the velocity. Here, both regular and ballistic Fermi acceleration coexist in the dynamics, leading the dynamics to two different growth regimes. We characterized deaccelerator modes in the dynamics, corresponding to unstable points in the antisymmetric position of the accelerator modes. In control parameter space, parameter sets for which these accelerations and deaccelerations constitute structures were obtained analytically. Since the mapping is not symplectic, we found fractal basins of influence for acceleration and deacceleration bounded by the stable and unstable manifolds, where the basins affect globally the average velocity of the system. Universidade Tecnológica Federal Do Paraná Instituto de Física, Universidade de São Paulo Departamento de Física, Universidade Estadual Paulista Abdus Salam International Center for Theoretical Physics, Strada Costiera 11 Departamento de Física, Universidade Estadual Paulista