基于乘法器的混沌系统设计与实现

Design and realization of a chaotic system based on multiplier

利用电阻与电容的串并联特性,提出了一种利用乘法器实现混沌系统的方法。利用该方法用一个电路实现2个Lorenz型混沌系统,实现具有3个乘积项的Qi混沌系统,可以通过改变其中一个电阻的阻值实现从单周期、双周期、四周期、多周期、拟周期及单涡卷混沌到双涡卷混沌的不同的动力学行为的转换。电路实验结果、Multism14软件仿真结果与理论分析结果一致,与原有方法相比,元件数量大大减少。

This paper makes use of the characteristics of resistance and capacitance in series and parallel to propose a method of using the multiplier to realize chaotic system. Using this method, two Lorenz type chaotic systems are realized with one circuit, and Qi chaotic system with three product terms is realized. By changing the resistance value of one of the resistors, different dynamic behaviors can be transformed from single period, double period, four period, multi period, quasi period and single scroll chaos to double scroll chaos. The circuit experiment results and the simulation results of Multism14 software are consistent with the theoretical analysis results. Compared with the original method, the number of components is greatly reduced.