Logistic map

Layer 1 — Physicsin the nonlinear-dynamics subtree

Simplest non-trivial discrete-time nonlinear dynamical system: x_{n+1} = r x_n (1 − x_n), defined on [0, 1] with growth parameter r ∈ [0, 4]. Undergoes period-doubling bifurcations as r increases, becoming chaotic at r ≈ 3.57, with…

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