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DYNAMICAL AND STATISTICAL ANALYSIS OF A NEW LOZI FUNCTION FOR RANDOM NUMBERS GENERATION

Ina Taralova, Andrea Espinel, René Lozi
This paper presents the first results of the statistical
and dynamical analysis of a new function showing
random properties firstly proposed by Lozi. The
phase plane analysis via the critical lines tool allowed
to delimit analytically the holes in the chaotic attractor
and to follow their evolution. In addition, the results
of the statistical NIST tests for pseudo-randomness
showed to be successful and significantly improved
after an under-sampling of the output signal.
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