在线阅读 --自然科学版 2020年1期《改进型Sprott-A系统隐藏吸引子的参数特性》
改进型Sprott-A系统隐藏吸引子的参数特性--[在线阅读]
郝建红, 刘博伦
华北电力大学 电气与电子工程学院, 北京 102206
起止页码: 25--31页
DOI: 10.13763/j.cnki.jhebnu.nse.2020.01.004
摘要
将一非线性函数引入到系统中得到改进型的Sprott-A模型,通过选取非线性函数为正弦函数,可以得到多滚动隐藏吸引子,通过系统相轨道、时间演化及Lyapunov指数的计算,分析了系统的动力学特性,研究了系统参数对滚动隐藏吸引子变化的影响.最后,使用Multisim软件设计了系统的电路图,得到的波形图与对应的相轨迹图相同.

Parameter Characteristics of the Hidden Attractor in an Improved Sprott-A System
HAO Jianhong, LIU Bolun
School of Electrical and Electronic Engineering, North China Electric Power University, Beijing 102206, China
Abstract:
In this paper,a nonlinear function was introduced into the system to obtain an improved Sprott-A model.By selecting the nonlinear function as the sine function,we can get the multi-scroll hidden attractor.The dynamic characteristics of the system are analyzed by calculating the phase orbit,time evolution and Lyapunov index,and the influence of system parameters on the change of scroll-hiding attractor is studied.Finally,an electronic circuit of the system is implemented in Multisim,and the results of electronic circuit are consistent with that of the corresponding phase orbit.

收稿日期: 2019-10-08
基金项目: 国家自然科学基金(61372050)

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