Bifurcation control of a parametrically excited duffing system
Author(s)
Author(s)
Ji, J. C.
Date Issued
2002
Publisher
Springer
Journal
Nonlinear Dynamics
Volume
27
Issue
4
Start page
411
End page
417
Abstract
A linear time-delayed feedback control is used to delay the occurrenceof pitchfork bifurcations and to eliminate saddle-node bifurcations,which may arise in the nonlinear response of a parametrically excitedDuffing system under the principal parametric resonance. The feedbackgains and the time delay are chosen by analyzing the modulationequations of the amplitude and the phase. It is shown that by using anappropriate feedback control, the stable region of the trivial solutionscan be broadened, a discontinuous bifurcation can be transformed into acontinuous one, and the jump phenomenon in the resonance response can beremoved.
SFU Affiliated Publication
No
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