Figure 3.

(a) The bifurcation diagram, the largest Lyapunov exponent λ and the memory exponent ρ for the logistic map in the range 3.5 ≤ μ ≤ 4. (b) The influence of additive Gaussian noise (SNR = 28.5 dB) on the bifurcation diagram, largest Lyapunov exponent λ and the memory exponent ρ. Note that here for each μ, we choose the unified embedding parameters (i.e., m = 2 and l = 1) for obtaining the quantities ρ and λ in both situations (i.e., with and without the Gaussian noise).