Bifurcation diagram of the logistic map: a single branch splitting into two, four, eight, then a dense chaotic band with windows of order.

Logistic map

May, 1976. r from 2.9 to 4.0.

The long-run states of xₙ₊₁ = r xₙ (1 − xₙ) as r increases: a single value, then two, four, eight, then chaos, with windows of periodic order inside it.

Field
Chaos and fractals
Nature
Exact computation of a published object; not a Lixiviant result.
Generator
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