The behavior of average velocities on a dissipative version of the classical bouncer model is described using scaling arguments. The description of the model is made by use of a two-dimensional nonlinear area contracting map. Our results reveal that the model experiences a transition from limited to unlimited energy growth as the dissipation vanishes. © 2007 Elsevier Ltd. All rights reserved.
Leonel, E. D., & Livorati, A. L. P. (2008). Describing Fermi acceleration with a scaling approach: The Bouncer model revisited. Physica A: Statistical Mechanics and Its Applications, 387(5–6), 1155–1160. https://doi.org/10.1016/j.physa.2007.10.037