One equation: xn+1 = r·xn·(1−xn).
Increase r and watch the logistic map's long-term behavior split:
one fixed point, then two, then four, then chaos. Zoom in on any
boundary and the same cascade repeats, scaled by Feigenbaum's
constant δ ≈ 4.669 — a universal signature
of the route to chaos discovered in 1975.