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一类混沌系统的Hop f分岔控制

曹逸凡 吴凤娇

计算技术与自动化Issue(2):6-10,5.
计算技术与自动化Issue(2):6-10,5.

一类混沌系统的Hop f分岔控制

Hopf Bifurcation Control of a Chaotic System

曹逸凡 1吴凤娇1

作者信息

  • 1. 西北农林科技大学 水利与建筑工程学院,陕西 杨凌 712100
  • 折叠

摘要

Abstract

Using Routh-Hurwitz criterion and hopf bifurcation theory,the dynamical behaviors of a chaotic system with parameters were investigated,and a feedback controller was designed to stabilize the system.The effects of the system parameters and controller parameters on the system stability and hopf bifurcation type were discussed,and the parameter conditions for the system stability with no hopf bifurcation were found out.The results indicate that both the linear control part and nonlinear control part in the controller can change the bifurcation behaviors of the system,which make the system asymptotically stable.Finally the numerical simulation proves the effectiveness of the controller.

关键词

带参数混沌系统/渐近稳定性/Hopf分岔/Hopf分岔控制

Key words

chaotic system with parameters/asymptotic stability/hopf bifurcation/hopf bifurcation control

分类

数理科学

引用本文复制引用

曹逸凡,吴凤娇..一类混沌系统的Hop f分岔控制[J].计算技术与自动化,2015,(2):6-10,5.

基金项目

西北农林科技大学大学生创新创业训练重点计划项目(2014XS156) (2014XS156)

计算技术与自动化

OACSTPCD

1003-6199

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