Lorenz Attractor

The Lorenz attractor is the following surprisingly simple system of three nonlinear ordinary differential equations:

$$ \frac{dx}{dt}= \sigma(y-x)$$$$\frac{dy}{dt}=x(\rho-z)-y$$$$\frac{dz}{dt}=xy-\beta z$$

This system exhibits chaotic behavior for parameters $(\sigma,\beta,\rho)$ in a neighborhood of $(10,8/3,28)$.