  We present a simple dynamical systems model for the effect of invisible space
dimensions on the visible ones. There are three premises. A: Orbits consist of
flows of probabilities [P].which is the case in the setting of quantum
mechanics. B: The orbits of probabilities are induced by (continuous time)
differential or partial differential equations. C: Observable orbit are flow of
marginal probabilities where the invisible space variables are averaged out. A
theorem is presented which proves that under certain general conditions the
transfer of marginal probabilities cannot be achieved by continuous time
dynamical systems acting on the space of observable variables but that it can
be achieved by discrete time dynamical systems.

Chaotic Dynamics;Exactly Solvable and Integrable Systems