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

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.

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

Contributed by: Housam Binous

After work by: S. Lynch

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Bifurcation Diagram for the Gauss Map