Simple model of bouncing ball dynamics: displacement of the table assumed as quadratic function of time
Chaotic Dynamics
2011-12-12 v1
Abstract
Nonlinear dynamics of a bouncing ball moving in gravitational field and colliding with a moving limiter is considered. Displacement of the limiter is a quadratic function of time. Several dynamical modes, such as fixed points, 2 - cycles and chaotic bands are studied analytically and numerically. It is shown that chaotic bands appear due to homoclinic structures created from unstable 2 - cycles in a corner-type bifurcation.
Keywords
Cite
@article{arxiv.1010.2886,
title = {Simple model of bouncing ball dynamics: displacement of the table assumed as quadratic function of time},
author = {Andrzej Okninski and Boguslaw Radziszewski},
journal= {arXiv preprint arXiv:1010.2886},
year = {2011}
}
Comments
11 pages, 6 figures