Iterates of the Logistic Map in 3D

1,597 views · Published 24 July 2008 · 0:16 · Indexed 20 October 2026

Channel: Wolfram · 2008 · Education

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The logistic map is defined by the iteration xn+1=rxn(1-xn). See the sequence of values of xn reached from a grid of initial values. For small r, the behavior is simple. But as r increases, the system exhibits a series of bifurcations, eventually showing complex behavior.

By Stephen Wolfram

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