Generation of Dynamical S-Boxes for Block Ciphers via Extended Logistic Map

Figure 3

Bifurcation diagram for the extended logistic map given by (2). The bifurcations occur for at α = ±1/2⁸ ≈ ±0.0039, and for , the bifurcations occur at α = 1/2⁸ ≈ 0.0039 and at 3/2⁸ ≈ 0.0117.