Bifurcation Diagram for the Gauss Map

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.

SNAPSHOTS

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DETAILS

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

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