This system is made of three ordinary differential equations
The parameters are chosen such as . This system has as a solution a fairly complicated attractor, shown in (Fig. 2).
A data set can be downloaded. There are three columns for x, y and z, respectively. In addition to its quite complex dynamics, this system is characterized by the low observability coefficients , , , that is, the dynamical variables can be ranked as
 E. N. Lorenz, Irregularity : a fundamental property of the atmosphere, Tellus A, 36, 98-110, 1984.