Bifurcation control of a parametrically excited Duffing system
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 411-417 |
| Journal / Publication | Nonlinear Dynamics |
| Volume | 27 |
| Issue number | 4 |
| Publication status | Published - Mar 2002 |
Link(s)
Abstract
A linear time-delayed feedback control is used to delay the occurrence of pitchfork bifurcations and to eliminate saddle-node bifurcations, which may arise in the nonlinear response of a parametrically excited Duffing system under the principal parametric resonance. The feedback gains and the time delay are chosen by analyzing the modulation equations of the amplitude and the phase. It is shown that by using an appropriate feedback control, the stable region of the trivial solutions can be broadened, a discontinuous bifurcation can be transformed into a continuous one, and the jump phenomenon in the resonance response can be removed.
Research Area(s)
- Bifurcation control, Duffing system, Linear feedback, Principal parametric resonance, Time delay
Citation Format(s)
Bifurcation control of a parametrically excited Duffing system. / Ji, J. C.; Leung, A. Y T.
In: Nonlinear Dynamics, Vol. 27, No. 4, 03.2002, p. 411-417.
In: Nonlinear Dynamics, Vol. 27, No. 4, 03.2002, p. 411-417.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
