The deceptively simple rule xn+1 = r xn(1−xn) produces steady states, period-doubling cascades, and full chaos as r grows from 0 to 4. Each bifurcation point arrives faster than the last — the ratio converges to Feigenbaum's constant δ ≈ 4.6692. Click anywhere on the bifurcation diagram to seed an orbit and watch the attractor emerge in the bottom panel.
Click to probe orbit | Drag to zoom | Double-click to reset