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Fig. 1

(a)Graph of the Lyapunov exponent of the map (2) with respect to the parameter λ, where xb = 0.2, λ* = 0.18, (b)Bifurcation diagram of the map (2) with respect to the parameter λ, where xb = 0.2, λ* = 0.18
(a)Graph of the Lyapunov exponent of the map (2) with respect to the parameter λ, where xb = 0.2, λ* = 0.18, (b)Bifurcation diagram of the map (2) with respect to the parameter λ, where xb = 0.2, λ* = 0.18

Fig. 2

(a)Graph of the Lyapunov exponent of the map (2) with respect to the parameter λ, where xb = 0.3, λ* = 0.28, (b)Bifurcation diagram of the map (2) with respect to the parameter λ, where xb = 0.3, λ* = 0.28
(a)Graph of the Lyapunov exponent of the map (2) with respect to the parameter λ, where xb = 0.3, λ* = 0.28, (b)Bifurcation diagram of the map (2) with respect to the parameter λ, where xb = 0.3, λ* = 0.28

Fig. 3

(a)Graph of the Lyapunov exponent of the map (2) with respect to the parameter λ*, where xb = 0.3, λ = 3.7, (b)Bifurcation diagram of (2) with respect to the parameter λ*, where xb = 0.3, λ = 3.7.
(a)Graph of the Lyapunov exponent of the map (2) with respect to the parameter λ*, where xb = 0.3, λ = 3.7, (b)Bifurcation diagram of (2) with respect to the parameter λ*, where xb = 0.3, λ = 3.7.

Fig. 4

(a)Graph of the Lyapunov exponent of the map (2) with respect to the parameter λ*, where xb = 0.3, λ = 4, (b)Bifurcation diagram of (2) with respect to the parameter λ*, where xb = 0.3, λ= 4.
(a)Graph of the Lyapunov exponent of the map (2) with respect to the parameter λ*, where xb = 0.3, λ = 4, (b)Bifurcation diagram of (2) with respect to the parameter λ*, where xb = 0.3, λ= 4.

Fig. 5

Bifurcation diagram of (2) with respect to λwhere xb = 0.48, λ* = 0.47.
Bifurcation diagram of (2) with respect to λwhere xb = 0.48, λ* = 0.47.
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