The Lorenz system is defined by the third order set of
ordinary differential equations:
$$\dot{x} = \sigma(y-x)$$
$$\dot{y} = rx-y-xz$$
$$\dot{z} = -bz + xy$$.
If the parameter set is \(\sigma=10$, $r=28$, $b=8/3\),
then the system response is chaotic. The Lorenz is one the hallmark examples
used in illustrating nonlinear deterministic chaotic motion.