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Bifurcation Diagram for the Gauss Map

​
α
5
The Gauss map is a nonlinear one-dimensional iterative map defined by
x
i+1
=exp-α
2
x
i
+β
.
This Demonstration plots the bifurcation diagram for user-set values of the parameter
α
. Different values of the parameter
β
lead to bifurcation, period doubling, and other types of chaotic dynamical behavior.
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