Abstract: To effectively use the chaotic system, a scale design method based on Chen's chaotic system was proposed in this paper. Scaling transformation and differential to integral conversion were performed on the Chen's system, and the characteristics of the scaled Chen's system were analyzed in detail. The scaled Chen's chaotic circuit was taken by the system as model with common electronic circuit structures. The synchronization of the drive and response systems could be realized by carrying out unidirectional single-variable linking substitution method on the scale system. The theoretical analyses and hardware experimental results show that the proposed method can be applied to industrial production directly.

Key words: Chen's system, chaotic system, scale, chaotic circuit, chaotic synchronization

摘要： 为了使混沌系统得到有效的利用，提出了一种基于Chen氏系统的标度化设计方法。对Chen氏系统进行比例变换和微分〖CD*2〗积分变换，并详细分析了标度化Chen氏系统的特性；以标度化系统为模型用普通电路模块搭建标度化Chen氏混沌电路；对标度化系统采用单向单变量耦合替换法，实现驱动系统和响应系统的同步。理论分析与电路实验结果表明该方法可以直接应用于工业生产。

关键词: Chen氏系统, 混沌系统, 标度化, 混沌电路, 混沌同步