Effects of Forcing Frequency on Dynamics of Subcritical Hopf Bifurcation Under Periodic Perturbation

被引：0
|
作者：
Dong Wanjing [1 ]
Wang Yong [2 ]
机构：
[1] China Ship Dev & Design Ctr, Natl Key Lab Ship Vibrat & Noise, Wuhan 430064, Peoples R China
[2] Peking Univ, State Key Lab Turbulence & Complex Syst, Beijing, Peoples R China
来源：
2015 27TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC) | 2015年
关键词：
Hopf Bifurcation; Periodic Perturbation; Rotating Stall; AXIAL-COMPRESSION SYSTEMS; POST-STALL TRANSIENTS; RESONANCE; STABILITY;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we analyze effects of frequency of periodic perturbation on a nonlinear system with subcritical hopf bifurcation, and find that the relationship between system dynamics and perturbation frequency is complexity. Forcing frequency affects transitions, such as bifurcation and hysteresis, in diagram of periodic solution amplitude (with the same frequency as forcing frequency) versus bifurcation parameter. Forcing frequency also has influence on system stability boundary. Under certain condition, system has worst stability performance when forced by periodic perturbation with hopf frequency. The results gotten in general nonlinear system are applied into rotating stall of axial compressor.
引用
收藏
页码：2369 / 2374
页数：6
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