蔡氏电路方程的离散化与数字电路实现

摘要

This paper proposed a digital circuit realization approach of Chua's cireuit equation. By utilizing Euler' s, the improved Euler's, and the Runge-Kutta algorithms, established the discrete iterative models of general chaotic system respectively, from which the discrete iterative models of Chua' s circuit equation with different approximate precisions were deduced.Based on the chaotic system embedded digital integrated platform realized by microcontroller, the desired Chua's chaotic signals were generated and compared the performances of digital circuit realization of Chua' s circuit equation realized by different algorithms. The results of numerical simulation and digital circuit experiments are in good agreement with those of Chua' s chaotic circuit, which verify the feasibility of the proposed digital circuit realization methods.%提出了一种蔡氏电路方程的数字电路实现方法.利用欧拉、改进型欧拉和四阶龙格-库塔算法进行离散化近似处理,分别得到了一般混沌系统的离散迭代模型,由此导出了蔡氏电路方程在不同近似精度下的离散迭代模型.基于微控制器实现的混沌系统嵌入式数字集成平台,生成了所期望的蔡氏混沌信号,并比较了基于不同算法的蔡氏电路方程的数字电路实现性能.数值仿真和数字电路实验结果与蔡氏混沌电路结果一致,验证了本数字电路实现方法的可行性.