基于乘法器的混沌系统设计与实现

doi:10.6040/j.issn.1671-9352.0.2022.405

《山东大学学报(理学版)》 ›› 2023, Vol. 58 ›› Issue (3): 93-100.doi: 10.6040/j.issn.1671-9352.0.2022.405

基于乘法器的混沌系统设计与实现

王忠林^1,2,3,刘树堂¹

1.山东大学控制与科学工程学院, 山东济南 250061;2.滨州学院航空工程学院, 山东滨州 256603;3.山东省航空材料与器件工程技术研究中心, 山东滨州 256603

发布日期:2023-03-02
作者简介:王忠林(1970— ),男,硕士,副教授,研究方向为EDA技术与混沌理论及应用.E-mail:bzcong@126.com
基金资助:
山东省重点研发计划项目(2017GGX10132)

Design and realization of a chaotic system based on multiplier

WANG Zhong-lin^1,2,3, LIU Shu-tang¹

1. School of Control Science and Engineering, Shandong University, Jinan 250061, Shandong, China;
2. College of Aeronautical Engineering, Binzhou University, Binzhou 256603, Shandong, China;
3. Shandong Engineering Research Center of Aeronautical Materials and Devices, Binzhou 256603, Shandong, China

Published:2023-03-02

摘要/Abstract

摘要： 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。

关键词: 混沌系统, 乘法器, 混沌电路, Multism 14, 运算放大器

Abstract: 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.

Key words: chaotic system, multiplier, chaotic circuit, Multism 14, operational amplifier

中图分类号:

TN914.42

王忠林,刘树堂. 基于乘法器的混沌系统设计与实现[J]. 《山东大学学报(理学版)》, 2023, 58(3): 93-100.

WANG Zhong-lin, LIU Shu-tang. Design and realization of a chaotic system based on multiplier[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2023, 58(3): 93-100.

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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

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