Equations
dx/dt = σ (y − x) dy/dt = x (ρ − z) − y dz/dt = x y − β z
With parameters σ = 10, ρ = 28, β = 8⁄3 the system charts a pair of swirling wings. Tiny variations in starting point quickly diverge, illustrating sensitive dependence on initial conditions.
Gallery Controls
- Click Reset to randomise the starting point and colour palette.
- The demo plots thousands of steps per animation frame for a smooth trail.
Applications
- Meteorology: Edward Lorenz's weather simulations led to the discovery.
- Secure random number generation and chaotic circuits.
- Artistic generative graphics.