The logistic map

The period-doubling route to chaos and the Feigenbaum constant, and an animated cobweb diagram as \(r\) grows.

Feigenbaum’s universal constant in the period-doubling cascade

Feigenbaum's universal constant in the period-doubling cascade

Animated: the logistic map’s cobweb as r grows

Animated: the logistic map's cobweb as r grows