English

Simple models of bouncing ball dynamics and their comparison

Chaotic Dynamics 2010-06-08 v1

Abstract

Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Several simple models of table motion are studied and compared. Dependence of displacement of the table on time, approximating sinusoidal motion and making analytical computations possible, is assumed as quadratic and cubic functions of time, respectively.

Keywords

Cite

@article{arxiv.1006.1236,
  title  = {Simple models of bouncing ball dynamics and their comparison},
  author = {Andrzej Okninski and Boguslaw Radziszewski},
  journal= {arXiv preprint arXiv:1006.1236},
  year   = {2010}
}

Comments

LaTeX, 8 pages, 7 figures

R2 v1 2026-06-21T15:32:46.324Z