一种新型四维三参数混沌指数系统及其电路实现  

A novel 4-D chaotic exponential system with three parameters and its circuit implementation

作　　者：张玲梅 高卫华 ZHANG Ling-mei;GAO Wei-hua(College of Mathematics and Statistics,Taiyuan Normal University,Taiyuan 030024,China)

机构地区：[1]太原师范学院数学与统计学院,山西太原030024

出　　处：《青海师范大学学报（自然科学版）》2024年第1期40-45,共6页Journal of Qinghai Normal University(Natural Science Edition)

基　　金：优秀博士毕业生来晋资助项目(2018171);太原师范学院高层次人才项目(2018182)。

摘　　要：本文研究了一种新的四维三参数混沌指数系统及其电路实现.首先,通过理论分析和数值仿真,研究该系统的基本动力学行为,如系统不变性和耗散性、平衡点稳定性、Lyapunov指数谱和分岔图等性质,结果表明该系统具有丰富的动力学特性.其次,利用Simulink软件进行电路仿真,仿真结果与数值分析结果一致,从而验证了新四维混沌系统电路实现的可行性,为指数混沌系统应用于电路设计提供了实验基础.The new 4-D chaotic exponential system with three parameters and its circuit implementation are the main topics of this paper.The results show the unique and varied kinetic properties of this system through theoretical analysis and numerical simulation of the fundamental dynamical behavior of the system.Properties like system invariance and dissipation,stability of equilibrium points,Lyapunov and index spectrum,and bifurcation diagram,are among those that are identified.Second,the results of the circuit simulation performed with Simulink software concur with those of the numerical analysis,demonstrating the viability of the new four-dimensional chaotic system and establishing an experimental foundation for the use of exponential chaotic systems in circuit design.

关 键 词：混沌指数系统 三参数 动态行为 电路实现 

分 类 号：O415.5[理学—理论物理]