Effects of forcing frequency on dynamics of subcritical hopf bifurcation under periodic perturbation

Author

Dong Wanjing ; Wang Yong

Author_Institution

China Ship Dev. & Design Center, Nat. Key Lab. on Ship Vibration & Noise, Wuhan, China

fYear

2015

fDate

23-25 May 2015

Firstpage

2369

Lastpage

2374

Abstract

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.

Keywords

bifurcation; compressors; nonlinear systems; stability; axial compressor; forcing frequency; hopf frequency; nonlinear system; periodic perturbation; periodic solution amplitude; subcritical hopf bifurcation; system stability boundary; Bifurcation; Hysteresis; Manifolds; Marine vehicles; Nonlinear systems; Orbits; Stability analysis; Hopf Bifurcation; Periodic Perturbation; Rotating Stall;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2015 27th Chinese

Conference_Location

Qingdao

Print_ISBN

978-1-4799-7016-2

Type

conf

DOI

10.1109/CCDC.2015.7162317

Filename

7162317