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

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,...

Full description

Saved in:
Bibliographic Details
Published inThe 27th Chinese Control and Decision Conference (2015 CCDC) pp. 2369 - 2374
Main Authors Dong, Wanjing, Wang, Yong
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.05.2015
Subjects
Bifurcation
Hopf Bifurcation
Hysteresis
Manifolds
Marine vehicles
Nonlinear systems
Orbits
Periodic Perturbation
Rotating Stall
Stability analysis
Online AccessGet full text

Cover

More Information
Summary: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.
ISSN:1948-9439
DOI:10.1109/CCDC.2015.7162317