一个新型混沌系统的设计与电路实现  

Design and Circuit Implementation of a New Chaotic System

作　　者：徐启程[1] 孙常春[1] 邢祥宇 XU Qi-cheng;SUN Chang-chun;XING Xiang-yu(School of Science,Shenyang Jianzhu University,Shenyang 110168,China;School of Information and Control Engineering,Shenyang Jianzhu University,Shenyang 110168,China)

机构地区：[1]沈阳建筑大学理学院,辽宁沈阳110168 [2]沈阳建筑大学信息与控制工程学院,辽宁沈阳110168

出　　处：《控制工程》2020年第7期1254-1258,共5页Control Engineering of China

基　　金：辽宁省教育厅自然科学基金资助项目(lnqn201919)。

摘　　要：为了研究混沌系统的性质及其应用,提出了一个新的三维混沌系统,该系统具有四个非线性项,包含三个二次交叉乘积项和一个完全平方项,此系统是具有新型的卷曲结构的混沌吸引子。对系统的耗散性、吸引子的存在性、平衡点的稳定性、Lyapunov指数及Lyapunov维数特性进行了动力学分析,结果表明此系统具有混沌特性,具有复杂的动力学行为且对系统参数具有敏感性。最后进行了混沌系统的电路设计,电路实验结果和数值仿真一致,表明该混沌吸引子是物理存在的。In order to study the properties and applications of chaotic systems,a new three-dimensional chaotic system with four nonlinear terms is proposed,including three quadratic cross product terms and a complete square term.The dissipation,existence of attractor,stability of equilibrium,Lyapunov index and dimension characteristics of the system are analyzed dynamically.The results show that the system has chaotic characteristics,complex dynamic behavior and sensitivity to system parameters.Finally,the circuit design of the chaotic system is carried out,and the experimental results are consistent with the numerical simulation,indicating that the chaotic attractor exists physically.

关 键 词：混沌系统 动力学分析 LYAPUNOV指数 电路仿真 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]