Chaotic Pseudo Random Number Generators via Ultra Weak Coupling of Chaotic Maps and Double Threshold Sampling Sequences

René Lozi (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

Generation of random or pseudorandom numbers, nowadays, is a key feature of industrial mathematics. Pseudorandom or chaotic numbers are used in many areas of contemporary technology such as modern communication systems and engineering applications. More and more European or US patents using discrete mappings for this purpose are obtained by researchers of discrete dynamical systems. Efficient Chaotic Pseudo Random Number Generators (CPRNG) have been recently introduced. They use the ultra weak multidimensional coupling of p 1-dimensional dynamical systems which preserve the chaotic properties of the continuous models in numerical experiments. Together with chaotic sampling and mixing processes, ultra weak coupling leads to families of (CPRNG) which are noteworthy. In this paper we improve again these families using a double threshold chaotic sampling instead of a single one. We analyze numerically the properties of these new families and underline their very high qualities and usefulness as CPRNG when very long series are computed.

Mots clés: Chaos; Discrete time systems; Floating point arithmetic; Random number generation

Domaines: Systèmes dynamiques [math.DS]

René Lozi. Chaotic Pseudo Random Number Generators via Ultra Weak Coupling of Chaotic Maps and Double Threshold Sampling Sequences. ICCSA 2009, 3rd Conference on Complex Systems and Applications., Jun 2009, Le Havre, France. pp.20-24. ⟨hal-00386292⟩