Control and synchronization of chaotic systems by differential evolution algorithm

This paper applies a novel evolutionary algorithm named differential evolution (DE) to direct the orbits of discrete chaotic dynamical systems towards desired target region within a short time by adding only small bounded perturbations, which could be formulated as a multi-modal numerical optimization problem with high dimension. Moreover, the synchronization of chaotic systems is also studied, which can be dealt with as an online problem of directing orbits. Numerical simulations based on Hénon Map demonstrate the effectiveness and efficiency of DE, and the effects of some parameters are investigated as well.