Stability and Hopf Bifurcation of a Magnetic Bearing System With Time Delays

Ji, Jinchen

doi:10.1006/jsvi.2002.5125

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction5

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2005

2022

Publication Types

Select...

Article9

Relationship

Self Cite1

Independent8

Authors

Journals

Cited by 45 publications

(21 citation statements)

References 12 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Much current work has focused upon local stability and Hopf bifurcations of the autonomous systems [1][2][3][4]. However, in modelling of some electro-mechanical systems the resultant oscillators are no longer simple and autonomous, but symmetric, externally forced and nonlinearly coupled.…”

Section: Introductionmentioning

confidence: 99%

Forced phase-locked response of a nonlinear system with time delay after Hopf bifurcation

Hansen

2005

Chaos, Solitons & Fractals

Self Cite

View full text Add to dashboard Cite

Section: Introductionmentioning

confidence: 99%

Forced phase-locked response of a nonlinear system with time delay after Hopf bifurcation

Hansen

2005

Chaos, Solitons & Fractals

Self Cite

View full text Add to dashboard Cite

“…Ma [3] studied double Hopf bifurcation for van der Pol-Duffing oscillator with parametric delay feedback control. The stability and bifurcation of a van der Pol-Duffing oscillator with the delay feedback were investigated by Ji [4].…”

Section: Introductionmentioning

confidence: 99%

Local Dynamics of Autonomous Van Der Pol–Duffing Circuit System Containing Parallel Resistor

Zhou¹,

Zhao²,

Huang³

et al. 2017

dtetr

View full text Add to dashboard Cite

Abstract. The local dynamics including stability and Hopf bifurcation of autonomoius van der Pol-Duffing circuit system containing parallel resistor are investigated both analytically and numerically in this paper. All the equilibrium points and their stability conditions are presented. The parametric conditions for Hopf bifurcation are also obtained. Numerical simulations verify the analytical results.

show abstract

“…Ji [10] investigated the effect of time delay on the linear stability of Eq. (1) and the properties of the Hopf bifurcation by using the center manifold theory and the normal form method.…”

Section: Introductionmentioning

confidence: 99%

“…Ji [10] has proposed the following model, which represents a fundamental structure for many more complicated magnetic bearings:…”

Section: Introductionmentioning

confidence: 99%

Stability and bifurcation analysis in a magnetic bearing system with time delays☆

Wang

Liu

2005

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

Stability and Hopf Bifurcation of a Magnetic Bearing System With Time Delays

Cited by 45 publications

References 12 publications

Forced phase-locked response of a nonlinear system with time delay after Hopf bifurcation

Forced phase-locked response of a nonlinear system with time delay after Hopf bifurcation

Local Dynamics of Autonomous Van Der Pol–Duffing Circuit System Containing Parallel Resistor

Stability and bifurcation analysis in a magnetic bearing system with time delays☆

Contact Info

Product

Resources

About