吉林大学学报（理学版）Issue(5)：961-968,8.DOI:10.13413/j.cnki.jdxblxb.2014.05.18
相对转动系统的Hop f分岔分析及分岔控制
Hopf Bifurcation Analysis and Bifurcation Control of a Relative Rotation System
摘要
Abstract
Hopf bifurcation type and Hopf bifurcation control of a relative rotation dynamical system with nonlinear damping force were mainly studied.Firstly,the original system was changed to a two-dimensional system via center manifold theory,and the stability coefficient of the two-dimensional system was calculated to determine the Hopf bifurcation type of the original system.Then,the cubic nonlinear controller based on Washout filter theory was designed to control Hopf bifurcation,and the effects of control parameter on Hopf bifurcation type and periodic solution ’s amplitude were discussed.The results show that when the control parameter satisfies certain condition,the potential threat subcritical Hopf bifurcation of original will be changed to supercritical Hopf bifurcation,thus the normal vibration of original system is guaranteed,and the amplitude of vibration will decrease with the reduction of the control parameter.关键词
相对转动/Hopf分岔/分岔控制/中心流形理论/Washout滤波器Key words
relatively rotation/Hopf bifurcation/bifurcation control/center manifold theory/Washout filter分类
数理科学引用本文复制引用
张中华,李鹏松,付景超,盛桂全..相对转动系统的Hop f分岔分析及分岔控制[J].吉林大学学报（理学版）,2014,(5):961-968,8.基金项目
吉林省科技发展计划项目(批准号:20130101065JC)和吉林省教育厅“十二五”科技研究项目(批准号:吉教科合字[2013]第429号) （批准号:20130101065JC）
