Chaos Synchronization Of Two Discrete Systems With Diverse Structures

The concept of chaos together with the method of chaos synchronization and its development is introduced in the paper. On the basis, their dynamic behavior is analyzed, and discrete chaotic systems with diverse structures are taken as examples to achieve the synchronization condition according to Lyapunov stability theory. Furthermore, a nonlinear controller is designed to realize global synchronization between two different chaotic systems. The artificial simulation results show that this control method is commendably effective and feasible. A lag synchronization controller is further designed to realize synchronization between discrete Henon system and Ikeda system. The structure of the lag synchronization controller and the error equations of state variables between discrete chaotic systems are presented based on stability theory. The model of a designed controller has unique structures for different chaotic systems, and lag synchronization between any discrete chaotic systems with diverse structures can be achieved. Simulation results show the controller is effective .