Fractional-Order Hidden Attractor Based on the Extended Liu System

Figure 12

Coexisting attractors of system (4) with a = 10, b = 40, c = 2.5, k = 1, h = 4,  = 5, d = 20, and m = 1; the blue trajectories with X (0) = (2.2, 2.4, 0.8, 0) and the yellow trajectories converge to the orange pentacle with X (0) = (0, 0, 0.3, 0.1): (a) coexisting attractors on the x-y plane, (b) coexisting attractors on the x-z plane, (c) trajectories of the coexisting attractors in the x-y-z space, and (d) trajectories of the coexisting attractors on the x-z plane.

(a)

(b)

(c)

(d)