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A novel family of 1-D robust chaotic maps

Dhrubajyoti Mandal

Dhrubajyoti Mandal

Department of Mathematics, Berhampore Girls’ CollegeBerhampore, India
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Mandal, Dhrubajyoti
  
Dec 31, 2020
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Published Online: Dec 31, 2020
Page range: 507 - 514
Received: Apr 10, 2020
Accepted: Jun 07, 2020
DOI: https://doi.org/10.2478/amns.2020.2.00073
Keywords
© 2020 Dhrubajyoti Mandal, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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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