基于分段线性函数的新型非自治混沌系统的分析与实现  

Analysis and Implementation of New Non-Autonomous Chaotic System Based on Segmented Linear Functions

作　　者：江拼 吴帆 李伟 刘艳金 游世辉 JIANG Pin;WU Fan;LI Wei;LIU Yanjin;YOU Shihui(Changsha Electronic Industrial School,Changsha,Hunan 410116,China;College of Mechanical and Electrical Engineering,Zaozhuang University,Zaozhuang,Shandong 277000,China)

机构地区：[1]长沙市电子工业学校,湖南长沙410116 [2]枣庄学院机电工程学院,山东枣庄277000

出　　处：《自动化应用》2024年第22期100-103,共4页Automation Application

基　　金：国家自然科学基金资助项目“纤维增强型磁流变橡胶材料与空气弹簧的多尺度随机网络进化动力学分析与实验研究”(51375416)。

摘　　要：采用分段线性函数和正弦函数为激励构造了一类恒定李雅普诺夫(Lyapunov)指数的二维非自治混沌系统。讨论和分析了混沌的初始敏感性和平衡点的性质,并通过相图、分岔图、Lyapunov指数、混沌图功率谱熵详细分析了参数变化对系统动态行为的影响;然后,根据电路理论采用模拟电子元件设计了相应混沌电路。研究表明,MATLAB数值模拟分析结果与电路仿真实验结果一致,证实了混沌系统的存在性和可行性。A class of two-dimensional non autonomous chaotic systems with constant Lyapunov exponent were constructed using piecewise linear functions and sine functions as excitations.Discussed and analyzed the initial sensitivity of chaos and the properties of equilibrium points,and analyzed in detail the influence of parameter changes on the dynamic behavior of the system through phase diagrams,bifurcation diagrams,Lyapunov exponents,and power spectral entropy of chaos diagrams.Then,based on circuit theory,corresponding chaotic circuits were designed using simulated electronic components.Research has shown that the numerical simulation analysis results of MATLAB are consistent with the experimental results of circuit simulation,confirming the existence and feasibility of chaotic systems.

关 键 词：二维非自治混沌系统 恒定李雅普诺夫指数谱 分岔图 功率谱熵 电路仿真实验 

分 类 号：TN918[电子电信—通信与信息系统]