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Islands of Order

Logistic Chaos

Logistic Growth Equation
	P_t+1 = r P_t (1 - P_t)
Growth Rate r
	1.0 4.0
Starting Population P₀
	0 1.0
Bifurcation Diagram
	Static, skip t<50 Responsive

The simple, deterministic logistic population growth equation shows chaos at growth rates of 3.57 and above. By 'chaos' we mean great sensitivity to starting conditions.

Here, explore this behavior by setting the growth rate r and the initial population size P₀. Note that population size here ranges from 0 to 1.0.

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