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Chaos based optimization - a review

This paper discusses the utilization of the complex chaotic dynamics given by the selected time-continuous chaotic systems as well as by the discrete chaotic maps, as the chaotic pseudo-random number generators and driving maps for the chaos based optimization. | VOLUME 1 I ISSUE 1 I 2017 I June Chaos-Based Optimization - A Review Roman SENKERIK1 2 Ivan ZELINKA1 3 Michal PLUHACEK2 1 Modeling Evolutionary Algorithms Simulation and Artificial Intelligence Faculty of Electrical and Electronics Engineering Ton Due Thang University Ho Chi Minh City Vietnam 2Faculty of Applied Informatics Tomas Bata University in Zlin Nam T.G. Masaryka 5555 760 01 Zlin Czech Republic 3Technical University of Ostrava Faculty of Electrical Engineering and Computer Science 17. listopadu 15 708 33 Ostrava-Poruba Czech Republic roman.scnkcrik@tdt.cdu.vn scnkcrik@fai.utb.cz Received ll-Fcbruary-2017 accepted 3-May-2017 published 8-Junc-2017 Abstract. This paper discusses the utilization of the complex chaotic dynamics given by the selected time-continuous chaotic systems as well as by the discrete chaotic maps as the chaotic pseudo-random number generators and driving maps for the chaos based optimization. Such an optimization concept is utilizing direct output iterations of chaotic system transferred into the required numerical range as the replacement of traditional and default pseudo-random number generators or this concept uses the chaotic dynamics for mapping the search space mostly within the smart hybrid local search techniques. This paper shows totally three groups of complex chaotic dynamics given by chaotic flows oscillators and discrete maps. Simulations of examples of chaotic dynamics as unconventional generators or mapped to the search space were performed and related issues like parametric plots distributions of such a systems periodicity and dependency on internally available parameters are briefly discussed in this paper. Keywords Deterministic chaos Heuristic Chaotic Optimization Chaotic Pseudo Random Number Generators. 1. Introduction Generally speaking the term chaos can denote anything that cannot be predicted deterministically. In the case that the word chaos is combined with an attribute such as deterministic then a specific type