Synchronization between two different chaotic systems with noise perturbation

This paper investigates the chaotic synchronization between the noise-perturbed Lorenz system and one of the noise-perturbed Chen and Lii systems. Based on the active control method and the Lyapunov theory in stochastic differential equations, sufficient conditions for the stability of the error dyn...

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Bibliographic Details
Published inChinese physics B Vol. 19; no. 7; pp. 150 - 155
Main Author 孙永征 阮炯
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.07.2010
Subjects
Chaos theory
Differential equations
Dynamical systems
Dynamics
Lorenz系统
Lyapunov理论
Mathematical models
Perturbation methods
Synchronism
Synchronization
主动控制
充分条件
噪音干扰
混沌同步
混沌系统
随机微分方程
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Summary:This paper investigates the chaotic synchronization between the noise-perturbed Lorenz system and one of the noise-perturbed Chen and Lii 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.
Bibliography:O415.5
TN912.3
chaotic synchronization, noise
11-5639/O4
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ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/7/070513