On the simulation of complex chaotic dynamics for chaos based optimization

Abstract

This paper investigates the utilization of the complex chaotic dynamics given by the several selected time-continuous chaotic systems, as the chaotic pseudo random number generators and driving maps for the chaotic optimization. Chaos based optimization concept is utilizing direct output iterations of chaotic system transferred into the required numerical range or it uses the chaotic dynamics for mapping the search space mostly within the local search techniques. This paper shows two groups of complex chaotic dynamics given by either chaotic flows or oscillators. Simulations of examples of chaotic dynamics transferred to the pseudo random number generators were performed and related issues like distributions of such a systems, periodicity, and dependency on sampling times are briefly discussed in this paper. © ECMS Thorsten Claus, Frank Herrmann, Michael Manitz, Oliver Rose (Editors).