Bifurcations of the Logistic Map

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The sequence exhibits complicated behavior for certain values of the parameter . When , the sequence converges to a fixed point, but around this fixed point bifurcates into an attracting two-cycle. As increases further, the attractors continue to bifurcate until the sequence displays chaotic behavior around .

Contributed by: Rob Morris (March 2011)
Open content licensed under CC BY-NC-SA


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