The Feigenbaum's $\delta$ for a high dissipative bouncing ball model
Chaotic Dynamics
2011-01-25 v1
Abstract
We have studied a dissipative version of a one-dimensional Fermi accelerator model. The dynamics of the model is described in terms of a two-dimensional, nonlinear area-contracting map. The dissipation is introduced via innelastic collisions of the particle with the walls and we consider the dynamics in the regime of high dissipation. For such a regime, the model exhibits a route to chaos known as period doubling and we obtain a constant along the bifurcations so called the Feigenbaum's number .
Cite
@article{arxiv.1101.4596,
title = {The Feigenbaum's $\delta$ for a high dissipative bouncing ball model},
author = {Diego F. M. Oliveira and Edson D. Leonel},
journal= {arXiv preprint arXiv:1101.4596},
year = {2011}
}