一个新混沌系统分析及其电路实现  

Analysis of a New Chaotic System and Circuit Implementation

作　　者：颜闽秀 徐辉 孙靖宇[3] YAN Min-xiu;XU Hui;SUN Jing-yu(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》2021年第3期275-281,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([2017]25:5-5);辽宁省教育厅项目(LZ2016006)。

摘　　要：提出一个新的三维连续自治混沌系统,为验证其丰富的混沌特性,深入研究系统的动力学性质,对其进行相关的理论分析,使用Matlab软件仿真出系统的相轨迹图、功率谱图、分岔图、李雅普诺夫指数谱、庞加莱截面图等.研究结果表明:提出的系统是一个新的混沌系统,且参数变化时系统的混沌特性更为丰富.利用Multisim软件,选择集成运算放大器、集成模拟乘法器以及电阻、电容等分立元件设计相应的混沌电路,使用数字示波器实时观测系统生成的吸引子,获得了良好的实验结果,且实验结果与理论分析相吻合,证实了系统的可实现性.In order to verify the rich chaotic characteristics of the proposed new three-dimensional continuous autonomous chaotic system,the dynamic properties of the system are studied in depth. The phase trajectory,power spectrum,bifurcation diagram,Lyapunov exponential spectrum and Poincare section diagram of the system are simulated by Matlab software. The results show that the proposed system is a new chaotic system,and the chaotic characteristics of the system are more abundant when the parameters change. Using Multisim software,the chaotic circuit is designed by choosing integrated operational amplifier,integrated analog multiplier,resistor and capacitor and other discrete components. The attractor generated by the digital oscilloscope real-time observation system is used to obtain good experimental results,and the experimental results are consistent with the theoretical analysis,which also confirms the realizability of the system.

关 键 词：新混沌系统 混沌特性分析 混沌电路 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]