Abstract
This tutorial introduces the principles of chaos synthesis by means of selected evolutionary algorithms and propose a novel method for discrete as well as continuous chaotic systems synthesis. Method introduced in this tutorial is of the same nature like genetic programming or grammatical evolution algorithms and was applied along with three evolutionary algorithms: differential evolution, self-organizing migration and genetic algorithm. The aim of this tutorial is to demonstrate our results of syntheses artificial (no physical background behind) new and complex chaotic systems based on some simple building elements with a properly defined cost function. The investigation consists of two major case studies: the discrete chaotic system synthesis and continuous system synthesis. For all used algorithms, numerous simulations of chaos synthesis were repeated and then averaged to guarantee the reliability and robustness of the proposed method. The most significant results were carefully selected, visualized and commented in this keynote.
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Zelinka, I. (2013). On Evolutionary Synthesis of Chaotic Systems. In: Zelinka, I., Rössler, O., Snášel, V., Abraham, A., Corchado, E. (eds) Nostradamus: Modern Methods of Prediction, Modeling and Analysis of Nonlinear Systems. Advances in Intelligent Systems and Computing, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33227-2_6
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