Synchronization between two different chaotic systems with noise perturbation

doi:10.1088/1674-1056/19/7/070513

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70513-070513.doi: 10.1088/1674-1056/19/7/070513

Synchronization between two different chaotic systems with noise perturbation

阮炯¹, 孙永征²

(1)School of Mathematical Sciences, Research Center for Nonlinear Sciences, Fudan University, Shanghai 200433, China; (2)School of Mathematical Sciences, Research Center for Nonlinear Sciences, Fudan University, Shanghai 200433, China;School of Sciences, China University of Mining and Technology, Xuzhou 221008, China

收稿日期:2009-07-10 出版日期:2010-07-15 发布日期:2010-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10901145).

Synchronization between two different chaotic systems with noise perturbation

Sun Yong-Zheng(孙永征)^a)b)† and Ruan Jiong(阮炯)^a)

^a School of Mathematical Sciences, Research Center for Nonlinear Sciences, Fudan University, Shanghai 200433, China; ^bSchool of Sciences, China University of Mining and Technology, Xuzhou 221008, China

Received:2009-07-10 Online:2010-07-15 Published:2010-07-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10901145).

摘要/Abstract

摘要： This paper investigates the chaotic synchronization between the noise-perturbed Lorenz system and one of the noise-perturbed Chen and Lü systems. Based on the active control method and the Lyapunov theory in stochastic differential equations, sufficient conditions for the stability of the error dynamics are derived. Numerical simulations are also shown to demonstrate the effectiveness of these theoretic results.

Abstract: This paper investigates the chaotic synchronization between the noise-perturbed Lorenz system and one of the noise-perturbed Chen and Lü systems. Based on the active control method and the Lyapunov theory in stochastic differential equations, sufficient conditions for the stability of the error dynamics are derived. Numerical simulations are also shown to demonstrate the effectiveness of these theoretic results.

Key words: chaotic synchronization, noise

中图分类号: (Synchronization; coupled oscillators)

05.45.Xt

02.30.Yy (Control theory) 05.40.Ca (Noise) 05.45.Pq (Numerical simulations of chaotic systems) 02.30.Hq (Ordinary differential equations)

孙永征, 阮炯. Synchronization between two different chaotic systems with noise perturbation[J]. 中国物理B, 2010, 19(7): 70513-070513.

Sun Yong-Zheng(孙永征) and Ruan Jiong(阮炯) . Synchronization between two different chaotic systems with noise perturbation[J]. Chin. Phys. B, 2010, 19(7): 70513-070513.

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Synchronization between two different chaotic systems with noise perturbation

Synchronization between two different chaotic systems with noise perturbation

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