Lorenz Attractor

The Lorenz attractor was found in 1963, it is a set of chaotic solutions for a system of ordinary differential equations.

x˙=σ(y−x)y˙=x(ρ−z)−yz˙=xy−βz \begin{align*} \dot{x} &= \sigma(y - x)\\ \dot{y} &= x(\rho - z) - y\\ \dot{z} &= xy - \beta z \end{align*}

In the above demo the constants:

σ=10, ρ=28, β=83.\sigma = 10,\ \rho = 28,\ \beta = \frac{8}{3}.