  The generation of pseudo-random numbers is one of the interesting problems in
Monte Carlo simulations, mostly because the common computer generators produce
periodic numbers. We used simple pseudo-random numbers generated with the
simplest chaotic system, the logistic map, with excellent results. The numbers
generated in this way are non-periodic, which we demonstrated for 10$^{13}$
numbers, and they are obtained in a deterministic way, which allows to repeat
systematically any calculation. The Monte Carlo calculations are the ideal
field to apply these numbers, and we did it for simple and more elaborated
cases. Chemistry and Information Technology use this kind of simulations, and
the application of this numbers to Quantum Monte Carlo and Cryptography is
immediate. I present here the techniques to calculate, analyze and use these
pseudo-random numbers, show that they lack periodicity up to 10$^{13}$ numbers
and that they are not correlated.
