Acceleration of bouncing balls in external fields
arXiv:math/9407223 · doi:10.1088/0951-7715/8/3/006
Abstract
We introduce two models, the Fermi-Ulam model in an external field and a one dimensional system of bouncing balls in an external field above a periodically oscillating plate. For both models we investigate the possibility of unbounded motion. In a special case the two models are equivalent.