Chaotic particle swarm optimization for synchronization of finite dimensional Hénon dynamical system

As a kind of correlated time-dependent behavior between different processes when they interact with each other, synchronization for finite-dimension chaotic dynamical systems is an important and active research issue in nonlinear dynamics science. Due to its potential applications in explaining natural systems, designing engineering systems, and so on, researches are focused on proposing effective and efficient approaches for synchronization of chaotic systems. As a novel evolutionary computation technique, chaotic particle swarm optimization (CPSO) (B. Liu, L. Wang, Y. Jin, F. Tang, and D. Huang, “Improved particle swarm optimization combined with chaos,” Chaos, Solitons & Fractals, vol. 25, pp. 1261-1271, 2005) has attracted much attention and wide applications, owing to its simple concept and easy implementation. In this study, an attempt is made to propose an optimization-based approach, i.e., CPSO based approach for chaotic synchronization, which could be formulated as an on-line multi-modal numerical optimization problem with high dimension. Numerical simulations based on Hénon map elucidate the feasibility of CPSO for synchronization of finite dimensional Hénon dynamical system.