Hopf bifurcation control in a coupled nonlinear relative rotation dynamical system

被引：7
作者：
Liu Shuang [1 ]
Liu Hao-Ran [2 ]
Wen Yan [3 ]
Liu Bin [1 ]
机构：
[1] Yanshan Univ, Key Lab Ind Comp Control Engn Hebei Prov, Qinhuangdao 066004, Peoples R China
[2] Yanshan Univ, Inst Informat Technol & Engn, Qinhuangdao 066004, Peoples R China
[3] Yanshan Univ, Inst Engn Mech, Qinhuangdao 066004, Peoples R China
来源：
ACTA PHYSICA SINICA | 2010年 / 59卷 / 08期
关键词：
relatively rotation; coupled nonlinear dynamic system; Hopf bifurcation; limit cycle; NOETHER CONSERVED QUANTITY; FORM INVARIANCE; APPROXIMATE SOLUTION; EQUILIBRIUM STATE; STABILITY; EQUATION; MECHANICS; SYMMETRY; MOTION; KIND;
D O I：
10.7498/aps.59.5223
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A coupled nonlinear relative-rotation system is studied, and the Hopf bifurcation is analyzed under the condition of primary resonance and 1:1 internal resonance. In order to control the Hopf bifurcation point, the stability and amplitude of limit cycle, a nonlinear feedback controller is proposed, and numerical calculation can confirm the validity of the method.
引用
收藏
页码：5223 / 5228
页数：6
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