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. 2024 Nov 26;10(23):e40659. doi: 10.1016/j.heliyon.2024.e40659

Figure 9.

Figure 9

Bifurcation plots of the incommensurate FO FH-R model (3.11) for (a) (χ1,χ2,χ3)=(0.5,0.67,1) and ℑ = 0.15, (b) (χ1,χ2,χ3)=(0.5,0.67,1) and ℑ = 0.25, (c) (χ1,χ2,χ3)=(0.5,0.67,1) and ℑ = 0.35, (d) (χ1,χ2,χ3)=(1,1,0.7) and ℑ = 0.13465, (e) (χ1,χ2,χ3)=(1,1,0.7) and ℑ = 0.15676, (f) (χ1,χ2,χ3)=(1,1,0.7) and ℑ = 0.201, (g) (χ1,χ2,χ3)=(0.3,0.45,0.95) and ℑ = 0.13465, (h) (χ1,χ2,χ3)=(0.3,0.45,0.95) and ℑ = 0.15676, (i) (χ1,χ2,χ3)=(0.3,0.45,0.95) and ℑ = 0.201, (j) (χ1,χ2,χ3)=(0.8,0.75,0.05) and ℑ = 0.255, (k) (χ1,χ2,χ3)=(0.8,0.75,0.05) and ℑ = 0.3523, (l) (χ1,χ2,χ3)=(0.8,0.75,0.05) and ℑ = 0.3765. Also, MLEs depictions for (m) (χ1,χ2,χ3)=(0.5,0.67,0.66) and ξ = 0.25 (n) (χ1,χ2,χ3)=(0.5,0.67,0.95) and ℑ = 0.567, (o) (χ1,χ2,χ3)=(0.5,0.67,0.97) and ℑ = [2.14,4.16], (p) (χ1,χ2,χ3)=(0.5,0.67,0.97) and ℑ = [0.45,5.15].