| The main achievement of chaos and chaotic synchronization is briefly stated in the passage. Some ways of describing the character of chaos together with methods for chaotic synchronization is also described, based on which a controller is designed to realize chaos synchronization between chaotic systems with different orders. Taking hyperchaotic Chen system and Rossler system as an example, the method is proved commendably effective and feasible. The structure of the feedback controller is constructed in three steps according to Lyapunov Stability Theory, and the error equations and the Lyapunov functions is designed. Artificial simulation results show that all the state variables in Rossler system can be synchronized with those in hyperchaotic Chen system by only one controller, and the error signals approach zero smoothly and quickly, which shows that the synchronization between different chaotic systems with different orders is realized. |
