Synchronization with diverse structure of the Josephson-Circuits-coupled Cellular Neural Network

A nonlinear feedback controller is designed to make the first two state of a chaotic system called Josephson-circuits-coupled quantum cellular neural network track an arbitrary two-dimensional smooth reference signal. It is proved by means of Lyapunov function that this method can make the system approach to any two desired smooth orbits at an exponent rate. The synchronizations with Duffingpsilas chaotic system and Rosslerpsilas chaotic system are also presented. Numerical simulations are made to verify the results.