The logistic map x_{n+1} = r·x_n·(1−x_n) transitions from stable fixed points through period doublings to chaos. Feigenbaum constant δ ≈ 4.669 governs the rate of bifurcation. Drag on bifurcation diagram to set r.
r value3.200
x₀ (initial)0.50
Iterations (cobweb)40
Click the bifurcation diagram to explore different r values.