摘要
本文提出了以半球面为切换面的线性切换系统产生混沌的一种新方法。首先给出两个分别具有结焦平衡点和鞍焦平衡点的三维线性系统,然后以半球面作为切换面,分析线性切换系统产生混沌的原理和切换系统的动力学性质,最后以数值仿真说明以半球面为切换面的线性切换系统能够产生混沌运动。
A new method is presented for chaos generation in a linear switching system based on a hemispherical switching surface.Firstly,two three-dimensional linear systems respectively having slagging focal equilibrium and saddle focal equilibrium are given.The principle of chaos generation in linear switched systems based on a hemispherical surface as switching surface is analyzed,and the dynamical properties of the switched systems are analyzed.Finally,the numerical simulation shows that the chaotic motion can be generated by the linear switched system based on a hemispherical surface as switching surface.
作者
李德奎
LI Dekui(Department of Science Teaching,Dingxi campus,Gansu Universiy of Chinese medicine,Dingxi 743000,China)
出处
《中央民族大学学报（自然科学版）》
2022年第3期58-64,共7页
Journal of Minzu University of China(Natural Sciences Edition)
基金
国家自然科学基金项目(61863022)
甘肃省自然科学基金项目(21JR1RA259)
甘肃省高等学校创新基金项目(2020A-191)
甘肃省高等学校创新基金项目(2021B-385)
甘肃中医药大学科学研究与创新基金项目(2019KCYB-10)。
关键词
半球面切换率
三维线性系统
混沌反控制
a hemispherical switching surface
three-dimensional linear systems
chaos anti-control
