Lorenz Parameters
Time t0.0
Distance d—
Lyapunov λ₁~0.91
Diverged?no
Lorenz Attractor (1963): dx/dt = σ(y−x), dy/dt = x(ρ−z)−y, dz/dt = xy−βz. The largest Lyapunov exponent λ₁ ≈ 0.906 means nearby trajectories separate as e^{λt}. The "butterfly" shape is the attractor — all trajectories converge to it, yet no two orbits are alike.