Chaotic Sampling, Very Weakly Coupling, and Chaotic Mixing: Three Simple Synergistic Mechanisms to Make New Families of Chaotic Pseudo Random Number Generators

final version of the oral presentation in the Sixth EUROMECH Nonlinear Dynamics Conference, June 30 – July 4, 2008, Saint Petersburg, RUSSIAWe introduce and combine synergistically three simple new mechanisms: very weakly coupling of chaotic maps, chaotic sampling and chaotic mixing of iterated points in order to make new families of enhanced Chaotic Pseudo Random Number Generators (CPRNG). The key feature of these CPRNG is that they use chaotic numbers themselves in order to sample and to mix chaotically several subsequences of chaotic numbers. We analyze numerically the properties of these new families and underline their very high qualities and usefulness as CPRNG when series are computed up to 10^13 iterations