English

Acceleration of bouncing balls in external fields

Dynamical Systems 2009-10-28 v1

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.

Keywords

Cite

@article{arxiv.math/9407223,
  title  = {Acceleration of bouncing balls in external fields},
  author = {Tyll Krüger and L. D. Pustyl'nikov and Serge Troubetzkoy},
  journal= {arXiv preprint arXiv:math/9407223},
  year   = {2009}
}