物理学报2011，Vol.60Issue(5)：79-83,5.
基于Washout滤波器的R(o)ssler系统Hopf分岔控制
Hopf bifurcation control of the R(o)ssler system based on Washout filter controller
摘要
Abstract
The Washout filter is adopted to control Hopf bifurcation in R(o)ssler system. The effect of its parameters on the position of bifurcation point, the bifurcation type, and the amplitude of periodic solution is discussed in detail. Based on Routh criterion, the stability region in parameter space is found out firstly. Then the influence of the filter' s time constant and the linear gain on the location of bifurcation point is analyzed. By using the Direct Normal Form method, the normal form of the controlled R(o)ssler system is deduced and the coefficient of resonant term is expressed as a function of the nonlinear gain. It isrevealed that, by changing the sign and the absolute value of the real part of the coefficient, the nonlinear gain can modify the periodic solution' s amplitude and Hopf bifurcation type. All the results obtained are verified by numerical simulation.关键词
R(o)ssler系统/Washout滤波器/Hopf分岔/Normal FormKey words
R(o)ssler system/ Washout filter/ Hopf bifurcation/ Normal Form引用本文复制引用
吴志强,孙立明..基于Washout滤波器的R(o)ssler系统Hopf分岔控制[J].物理学报,2011,60(5):79-83,5.基金项目
国家自然科学基金(批准号:10872142),教育部新世纪优秀人才支持计划(批准号:NCET-15-0247),天津市重点项目(批准号:09JCZDJ16800)和高等学校博士学科点专项科研基金(批准号:2009003211005)资助的课题. （批准号:10872142）
