Chaos Theory

Particles 3
Time 0.00
Trail Length 500

Lorenz Attractor

The butterfly effect. Infinitesimal changes lead to wildly different outcomes. Deterministic chaos.

Inspired by 3Blue1Brown
1963: Edward Lorenz discovered this while modeling weather. A 0.000001 change in initial conditions creates completely different trajectories.

Parameters

10
28
2.67
dx/dt = σ(y − x)
dy/dt = x(ρ − z) − y
dz/dt = xy − βz