Lorenz Attractor

Deterministic chaos — drag to rotate, adjust σ, ρ, β

Parameters

λ₁ ≈ 0.906 (classic)
dx/dt = σ(y−x)
dy/dt = x(ρ−z)−y
dz/dt = xy − βz
Lorenz 1963: a simple 3D ODE for convection. Sensitive to initial conditions — the butterfly effect. Strange attractor with fractal dimension ≈ 2.06.