Scaling Properties of a Hybrid Fermi-Ulam-Bouncer Model

Figure 2

(a) Phase space generated from iteration of mapping (2.8) for the control parameters 𝜖=10⁻³ and 𝑔=5.628×10⁻⁵. (b) Behavior of the positive Lyapunov exponent of the chaotic sea for the same control parameters used in (a). The average value obtained was 𝜆=1.55±0.01, where the error 0.01 corresponds to the standard deviation of the 10 samples. (c) Behavior of the average energy, 𝐸, as function of 𝑛.

(a)

(b)

(c)