TY - JOUR
T1 - Bifurcation control of a parametrically excited Duffing system
AU - Ji, J. C.
AU - Leung, A. Y T
PY - 2002/3
Y1 - 2002/3
N2 - 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.
AB - 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.
KW - Bifurcation control
KW - Duffing system
KW - Linear feedback
KW - Principal parametric resonance
KW - Time delay
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U2 - 10.1023/A:1015221422293
DO - 10.1023/A:1015221422293
M3 - RGC 21 - Publication in refereed journal
VL - 27
SP - 411
EP - 417
JO - Nonlinear Dynamics
JF - Nonlinear Dynamics
SN - 0924-090X
IS - 4
ER -