Lorenz Attractor — 3D Interactive

The Lorenz system (ẋ=σ(y−x), ẏ=x(ρ−z)−y, ż=xy−βz) is a strange attractor with fractal structure and sensitive dependence on initial conditions. Two nearby trajectories diverge exponentially — the hallmark of deterministic chaos. Drag to rotate, adjust parameters to explore different regimes.

σ (sigma)10.0
ρ (rho)28.0
β (beta)2.67
Trail length1000
Speed3
Drag to rotate | Two orange trajectories diverge from ε-close initial conditions