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In many publications, authors showed that chaotic pseudo random numbergenerators (PRNGs) may improve performance of the evolutionary algorithms. Inthis paper, we use two chaotic maps Gingerbread man and Tinkerbell as thechaotic PRNGs instead of the classical PRNG in the differential evolution.Numbers generated by this maps are normalized to the unit interval by threedifferent methods -- operation modulo, straightforward number normalizationwhere we know minimal and maximal generated number and arctangent of the twovariables $x$ and $y$, where numbers $x$ and $y$ are generated by theGingerbread man map and Tinkerbell map. The first goal of this paper is to showwhether the differential evolution convergence speed might be affected by theway how we normalize number generated by the chaotic map. The second goal is tofind out the influence of the probability distribution function of the selectedchaotic PRNGs. The results mentioned below showed that the selectednormalization method may improve differential evolution convergence speed,especially in the case of arctangent and straightforward number normalization,where we know the minimal and maximal generated numbers.

Study of the Influence of the Number Normalization Scheme Used in Two  Chaotic Pseudo Random Number Generators Used as the Source of Randomness in  Differential Evolution