Here you can play with the system of equations known as the Lorenz Attractor: \[ \frac{d}{dt}\left[\begin{matrix} x \\ y \\ z \end{matrix}\right] = \left[\begin{matrix} \sigma(y-x) \\ x(\rho-z)-y \\ xy-\beta z \end{matrix}\right] \] More description will (possibly) come later. If not, you are invited to consult the wikipedia page for a background.