Synchronization of chaotic systems with different orders  

作　　者：吕翎 栾玲 郭治安 

机构地区：[1]College of Physics end Electronic Technology, Liaoning Normal University, Dalian 116029, China [2]Department of Mathematies end Physics, Dalian Jiaotong University, Dalian 116028, China

出　　处：《Chinese Physics B》2007年第2期346-351,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China （Grant No 20373021） and Natural Science Foundation of Liaoning Province （Grant No 20052151）.

摘　　要：A controller is designed to realize the synchronization between chaotic systems with different orders. The structure of the controller, the error equations and the Lyapunov functions are determined based on stability theory. Hyperchaotic Chen system and Rossler system are taken for example to demonstrate the method to be effective and feasible. Simulation results show that all the state wriables of Rossler system can be synchronized with those of hyperchaotic Chen system by using only one controller, and the error signals approach zero smoothly and quickly.A controller is designed to realize the synchronization between chaotic systems with different orders. The structure of the controller, the error equations and the Lyapunov functions are determined based on stability theory. Hyperchaotic Chen system and Rossler system are taken for example to demonstrate the method to be effective and feasible. Simulation results show that all the state wriables of Rossler system can be synchronized with those of hyperchaotic Chen system by using only one controller, and the error signals approach zero smoothly and quickly.

关 键 词：chaos synchronization hyperchaotic Chen system Rossler system chaotic systems with different orders 

分 类 号：O415.5[理学—理论物理]