一个新的三维混沌系统的特性分析、电路实现  

Characteristic Analysis and Circuit Realization of a New Three-Dimensional Chaotic System

作　　者：颜闽秀 谢俊红 孙靖宇[3] YAN Min-xiu;XIE Jun-hong;SUN Jing-yu(College of Information Engineering,Shenyang University of Chemical Technology,Shenyang 110142,China;Key Laboratory for Industrial Environment-Resources Cooperative Control and Optimization Technology(University of Liaoning province)Shenyang 110142,China;Beijing Shougang International Engineering Technology Limited Company,Beijing 100041,China)

机构地区：[1]沈阳化工大学信息工程学院,辽宁沈阳110142 [2]工业环境-资源协同控制与优化技术辽宁省高校重点实验室,辽宁沈阳110142 [3]北京首钢国际工程技术有限公司,北京100041

出　　处：《沈阳化工大学学报》2022年第3期262-268,共7页Journal of Shenyang University of Chemical Technology

基　　金：国家科技部中国-马其顿政府间科技合作项目(国科外〔2017〕25:5-5);辽宁省教育厅项目(LZ2016006)。

摘　　要：在混沌应用中,构造更多的混沌系统对保密通信和信息加密具有重要意义.在Lorenz混沌系统的基础上构造一个新的三维非线性混沌系统,对该系统进行基本的动力学分析.采用MATLAB软件进行仿真,绘出新系统的相轨迹图、分岔图、李雅普诺夫指数谱、频谱图、庞加莱截面等.结果表明,新的三维非线性混沌系统,当参数变化时,系统的混沌特性更加丰富.利用电路仿真软件Multisim对新的三维非线性混沌系统进行仿真实验,利用集成运算放大器、乘法器以及电阻、电容等分立元件搭建新的三维非线性混沌系统,采用数字示波器实时观测生成的吸引子,仿真实验结果与理论分析结果完全一致,证实了该系统丰富的混沌特性.In the application of chaos,it is important to construct more chaotic systems for secure communication and information encryption.Based on Lorenz chaotic system,a new three-dimensional nonlinear chaotic system is constructed,and the basic dynamic analysis of the system is carried out.The simulation is carried out with MATLAB software,and the phase trajectory diagram,bifurcation diagram,Lyapunov exponent spectrum,spectrum diagram and Poincare section of the new system are drawn.The results show that the new three-dimensional nonlinear chaotic system has more abundant chaotic characteristics when the parameters change.The circuit simulation software Multisim is used to simulate the new three-dimensional nonlinear chaotic system.A new three-dimensional nonlinear chaotic system is built by using integrated operational amplifier,multiplier,resistance,capacitance and other independent components.The generated attractor is observed in real time by digital oscilloscope.The simulation results are completely consistent with the theoretical analysis results,which confirms the rich chaotic characteristics of the system.

关 键 词：新混沌系统 动力学特性 混沌电路 电路仿真 

分 类 号：TP271.5[自动化与计算机技术—检测技术与自动化装置]