Synchronization of chaotic systems with different orders
Lü Ling(吕翎)a)†, Luan Ling(栾玲)a), and Guo Zhi-An(郭治安)b)
a College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China; b Department of Mathematics and Physics, Dalian Jiaotong University, Dalian 116028, China
Abstract 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 variables 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.
Received: 18 May 2006
Revised: 14 August 2006
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 20373021) and Natural Science Foundation of Liaoning Province (Grant No 20052151).
Cite this article:
Lü Ling(吕翎), Luan Ling(栾玲), and Guo Zhi-An(郭治安) Synchronization of chaotic systems with different orders 2007 Chinese Physics 16 346
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