A method for controlling chaos with echo state network

Owing to the original Ott-Grebogi-Yorke(OGY) method can only be applied to the discrete dynamical systems or continuous dynamical systems which can be described by Poincare mapping, a novel method for controlling chaos is proposed by resorting to echo state network. The network was trained by the input and output sample which were generated by OGY method. The chaos controller can drive the chaotic attractor embedded in the unstable orbit to the unstable fixed point. The simulation results of Henon mapping verify that neural network controller can drive the chaos system to unstable fixed point in short time. The neural network controller greatly speeds up the stabilization process of controlling chaos system.