Logistic growth · 羊·實驗

Topics

Apply one rule again and again, and compare fixed points, short periods, dense long-run values, and self-repeating fractals.

Period doubling and chaotic regions of x_{n+1} = r x_n(1-x_n) as the parameter r changes.

The logistic curve y = L/(1+a e^(-kt)) rises, then levels off at the carrying capacity L.