一类jerk混沌电路的仿真与设计  

Simulation and design of a chaotic jerk circuit

作　　者：王心华[1] 江浩雨 冯娟娟[1] 盛英卓[1] 

机构地区：[1]兰州大学物理科学与技术学院,甘肃兰州730000 [2]兰州大学核科学与技术学院,甘肃兰州730000

出　　处：《物理实验》2017年第6期1-5,共5页Physics Experimentation

基　　金：兰州大学"中央高校基本科研业务费专项资金"资助(No.lzujbky-2016-117)

摘　　要：基于jerk系统的基本形式,给出了一类由未确定参量构成的非线性方程,构建了相应的数学模型并进行数值模拟,分析了该系统相图、分岔图及平衡点的性质.对此系统进行硬件电路实现,得到了与理论计算相符合的混沌吸引子.研究了电路中电阻变化与系统混沌状态的关系,与分岔图的计算结果基本一致.A family of nonlinear equations based on the jerk circuit was selected and numerically simulated. The phase and bifurcation diagrams of chosen parameters were analyzed, and the properties of the even point were also discussed. An electrical circuit was built to estimate the attractor, and the obtained value agreed remarkably with that of the simulation. Finally, the effect of the resistance of the circuit on the chaotic state was investigated, and the calculation of the bifurcation graph was basically the same.

关 键 词：混沌 jerk系统 非线性方程 数值模拟 

分 类 号：O415.5[理学—理论物理]