A Fractional-Order Discrete Noninvertible Map of Cubic Type: Dynamics, Control, and Synchronization

Figure 8

Bifurcation diagrams and corresponding LLE spectrums for the map with different initial values as the order varies: (a) the bifurcation diagram with , (b) the bifurcation diagram with , (c) the LLE spectrum with , and (d) the LLE spectrum with .

(a)

(b)

(c)

(d)