4-17. The tent map is represented by the following iterations: 2αxn for 0 < x < 1/2 Xn+1 = Xn+1 2a(1-x₂) for 1/2 < x < 1 = where 0 < a < 1. Make a map up to 20 iterations for a = 0.4 and 0.7 with x₁ Does it appear that either of the maps represent chaotic behavior? 0.2.

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4-17. The tent map is represented by the following iterations:
2αxn
for 0 < x < 1/2
for 1/2 < x < 1
2a(1-x₂)
Xn+1 =
Xn+1 =
0.4 and 0.7 with x₁
where 0 < a < 1. Make a map up to 20 iterations for a =
Does it appear that either of the maps represent chaotic behavior?
= 0.2.
4-18. Plot the bifurcation diagram for the tent map of the previous problem. Discuss the
results for the various regions.
Transcribed Image Text:4-17. The tent map is represented by the following iterations: 2αxn for 0 < x < 1/2 for 1/2 < x < 1 2a(1-x₂) Xn+1 = Xn+1 = 0.4 and 0.7 with x₁ where 0 < a < 1. Make a map up to 20 iterations for a = Does it appear that either of the maps represent chaotic behavior? = 0.2. 4-18. Plot the bifurcation diagram for the tent map of the previous problem. Discuss the results for the various regions.
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