This system is made of three ordinary differential equations
The parameters are chosen such as
[1]. 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
[1] E. N. Lorenz, Irregularity : a fundamental property of the atmosphere, Tellus A, 36, 98-110, 1984.