Control of Hénon chaotic systems by chaotic particle swarm optimization

Control of chaotic systems is an important issue in nonlinear science, which could be formulated as a multi-modal numerical optimization problem with high dimension. As a novel evolutionary computation technique, chaotic particle swarm optimization (CPSO) has attracted much attention and wide applications, owing to its simple concept and easy implementation. This investigation elucidates the feasibility of applying CPSO to direct the orbits of discrete chaotic dynamical systems towards desired target region within a short time by adding only small bounded perturbations. Numerical simulations based on Hénon Map demonstrate the effectiveness and efficiency of CPSO, and the effects of some parameters are also investigated.