The Feigenbaum's delta for a high dissipative bouncing ball model

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 d.