Coexistence of the Bandcount-Adding and Bandcount-Increment Scenarios

Figure 4

Numerically calculated bandcount diagrams in the 2D parameter space for 𝑎=0.42 (a), 𝑎=−0.42 (b) and 𝑏=−2.0⋯−1.0, 𝜇=0⋯3.6, showing the basic bifurcation structure of the chaotic domain. The periodic domain is colored white, the chaotic domain in various shades of gray. The gray tones represent the bandcount of the regions, calculated using the numeric approach reported in [48]. The lighter the gray of a chaotic region the higher its bandcount is. The white lines in (a) show the locations of two bifurcation scenarios, shown in Figures 9 and 14.

(a) 𝑎>0

(b) 𝑎<0