The Feigenbaum's $δ$ for a high dissipative bouncing ball model

Details The Feigenbaum's $δ$ for a high dissipative bouncing ball model The Feigenbaum's $δ$ for a high dissipative bouncing ball model

2011-01-24

arxiv.org/abs/1101.4596v1

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

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 $\delta$.

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