A new approach in discrete chaos system control by differential evolution Algorithm

Abstract

In this paper, a novel chaos control approach by differential evolution (DE) algorithm is proposed to control the inherent chaotic phenomenon in genetic algorithms. Firstly the new approach detects the dynamical behaviors of a new discrete chaos system with rational fraction in GA such as the extreme values and unstable periodic points. Secondly it directs the chaotic system to its unstable fix point from any initial point by global controlling factors {Uk} solved self-adaptively by DE. Thirdly it proposes a multi-model solution for chaos control through DE to stabilize the system on its unstable fix point. Simulation results are further presented to show the effectiveness and performance of the put method.