Mathematical chaotic circuits: an efficient tool for shaping numerous architectures of mixed chaotic/peudo random number generators

Description

During the last decades, it had been highlighted the duality between chaotic numbers and pseudo-random numbers. Emergence of pseudo-randomness from chaos via various under-sampling methods has been recently discovered. Instead of opposing both qualities (chaos and pseudo-randomness) of numbers, it should be more interesting to shape mixed Chaotic/Pseudo-random number generators, which can modulate the desired properties between chaos and pseudo-randomness. Because nowadays there exist increasing demands for new and more efficient number generators of this type it is important to develop new tools to shape more or less automatically various families of such generators. Mathematical chaotic circuits have been recently introduced for such a purpose among several others. There some analogy between them and electric circuits, but the components. Mathematical circuits use new ones we describe therein. The combination of such mathematical components leads to several news applications which improve the performance of well known chaotic attractors (Hénon, Chua, Lorenz, Rössler, ...). They can be also used in larger scale to shape numerous architectures of mixed Chaotic/Pseudo Random Number Generators.

Abstract

Published In 20th International Conference on Soft Computing MENDEL 2014, Brnö, Czech Republic, June 25-27, 2014, R. Matoušek (ed.), 163-176

Abstract

International audience

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