Chaos based optimization: Implementations and possibilities

Abstract

This paper investigates the utilization of the complex chaotic dynamics given by the several selected time-continuous as well as discrete 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 systems 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 discrete systems or time continuous chaotic flows and oscillators. Simulations of examples of chaotic dynamics, implementation issues and possibilities are briefly discussed in this paper.