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Bifurcation Diagram for the Gauss Map

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The Gauss map is a nonlinear one-dimensional iterative map defined by .

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This Demonstration plots the bifurcation diagram for user-set values of the parameter . Different values of the parameter lead to bifurcation, period doubling, and other types of chaotic dynamical behavior.

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Contributed by: Housam Binous (March 2011)
After work by: S. Lynch
Open content licensed under CC BY-NC-SA

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S. Lynch, Dynamical Systems with Applications using Mathematica, Boston: Birkhäuser, 2007.

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