Hopf bifurcation and stability of periodic solutions in a nonlinear relative rotation dynamical system with time delay

被引：16
|
作者：
Liu Shuang [1 ,2 ]
Liu Bin [1 ]
Zhang Ye-Kuan [1 ]
Wen Yan [2 ]
机构：
[1] Yanshan Univ, Key Lab Ind Comp Control Engn Hebei Prov, Qinhuangdao 066004, Peoples R China
[2] Yanshan Univ, Inst Engn Mech, Qinhuangdao 066004, Peoples R China
来源：
ACTA PHYSICA SINICA | 2010年 / 59卷 / 01期
关键词：
relativel rotation; time delay; Hopf bifurcation; stability; NOETHER CONSERVED QUANTITY; APPROXIMATE SOLUTION; EQUILIBRIUM STATE; FORM INVARIANCE; EQUATION; MOTION; SYMMETRIES; MECHANICS; INTEGRALS; KIND;
D O I：
10.7498/aps.59.38
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Hopf bifurcation in a nonlinear relative-rotation system with time delay is considerd, and the critical time delay associated with Hopf bifurcation is found. The time delay's influence on the direction and stability of bifurcation are analyzed under the primary resonance condition with the aid of multiple scales. Finally, numerical simulations are performed to verify the analytical results.
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页码：38 / 43
页数：6
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