Lorenz Attractor
Sensitive dependence on initial conditions — the butterfly effect
Separation: —
Parameters
σ (Prandtl):
10.0
ρ (Rayleigh):
28.0
β:
2.67
Initial Conditions
δ (IC separation):
0.0001
Tail length:
1200
Reset
Pause
Equations
ẋ = σ(y − x)
ẏ = x(ρ − z) − y
ż = xy − βz
Lyapunov: λ₁ ≈ 0.906
δ(t) ≈ δ₀·e^(λ₁t)