Lorenz Attractor — a chaotic 3D dynamical system discovered by Edward Lorenz in 1963.
dx/dt = σ(y − x)
dy/dt = x(ρ − z) − y
dz/dt = xy − βz
Adjust σ, ρ, and β to explore different chaotic regimes. The classic "butterfly" appears at σ=10, ρ=28, β=8/3.