  The Lorenz 1963 dynamical system is known to reduce in the steady state to a
one-dimensional motion of a classical particle subjected to viscous damping in
a past history-dependent potential field. If the potential field is substituted
by a periodic function of the position, the resulting system shows a rich
dynamics where (standard) diffusive behaviours, ballistc motions and trapping
take place by varying the model control parameters. This system permits to
highlight the intimate relation between chaos and long-time deterministic
diffusion.
