The EPR correlations and the chameleon effect

We describe an experiment in which two non communicating computers, starting from a common input in the form of sequences of pseudo--random numbers in the interval $[0,2\pi]$, and computing deterministic $\{\pm 1\}$--valued functions, chosen at random and independently, produce sequences of numbers whose correlations coincide with the EPR correlations and therefore violate Bell's inequality. The experiment is the practical implementation of a mathematical model of a classical, deterministic system whose initial state is chosen at random from its state space, with a known initial probability distribution, and whose dynamics exhibits the chameleon effect described below. Such a system satisfies the constraints of pre--determination, locality, causality, local independent choices, singlet law and reproduces the EPR correlations.