Strange Attractors
Chaotic trajectories that never repeat but never escape — drag to rotate in 3D, tune parameters to deform the attractor
σ (sigma) 10.0
ρ (rho) 28.0
β (beta) 2.67
Tail length 8000
Speed (×) 6
Color mode Velocity
0
Points
—
Lyapunov λ
—
Separation
0.0
Time t
Lorenz Attractor — Edward Lorenz (1963) discovered this system while modeling atmospheric convection: ẋ = σ(y−x), ẏ = x(ρ−z)−y, ż = xy−βz. With σ=10, ρ=28, β=8/3 the trajectory never repeats yet stays bounded — the first mathematical proof of deterministic chaos. The fractal dimension is ≈2.06.