The feigenbaumes δ for a high dissipative bouncing ball model
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Resumo
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 8.
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Bouncing ball model, Dissipation, Feigenbaum number, Lyapunov exponent
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Inglês
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Brazilian Journal of Physics, v. 38, n. 1, p. 62-64, 2008.
