Elegant Chaos in Fractional-Order System without Equilibria

Figure 4

Nonchaotic behaviour of the fractional system (14) for 𝑞=0.98 and 𝑎=−0.759: (a) oscillations plotted in the (𝑧,𝑦)-plane; (b) zoom in on the system trajectories, indicating that they never return on the same points in the state space.

(a)

(b)