中国物理B ›› 2007, Vol. 16 ›› Issue (2): 346-351.doi: 10.1088/1009-1963/16/2/013

• GENERAL • 上一篇    下一篇

Synchronization of chaotic systems with different orders

吕翎1, 栾玲1, 郭治安2   

  1. (1)College of Physics and Electronic Technology, Liaoning Normal University, Dalian 116029, China; (2)Department of Mathematics and Physics, Dalian Jiaotong University, Dalian 116028, China
  • 收稿日期:2006-05-18 修回日期:2006-08-14 出版日期:2007-02-20 发布日期:2007-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 20373021) and Natural Science Foundation of Liaoning Province (Grant No 20052151).

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)   

  1. 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
  • Received:2006-05-18 Revised:2006-08-14 Online:2007-02-20 Published:2007-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 20373021) and Natural Science Foundation of Liaoning Province (Grant No 20052151).

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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 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.

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.

Key words: chaos synchronization, hyperchaotic Chen system, Rossler system, chaotic systems with different orders

中图分类号:  (Synchronization; coupled oscillators)

  • 05.45.Xt
02.30.Yy (Control theory) 05.45.Gg (Control of chaos, applications of chaos) 05.45.Pq (Numerical simulations of chaotic systems)