The Feigenbaum's delta for a high dissipative bouncing ball model
Oliveira, Diego F. M. [UNESP]
Leonel, Edson Denis [UNESP]
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Sociedade Brasileira de Física
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 inelastic 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 delta.
Bouncing Ball Model, Dissipation, Lyapunov Exponent, Feigenbaum number
Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 38, n. 1, p. 62-64, 2008.