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Active control with delay of vibration and chaos in a double-well Duffing oscillator. (English) Zbl 1057.37081
This paper is devoted to the control of vibration, snap-through instability and horseshoe chaos in a double-well Duffing oscillator submitted to an external additive and periodic excitation. The effects of the control parameters as well as that of the time-delay between the motion of the oscillator and the action of the control are considered. The main conclusion is that the best estimation on the optimal parameters for the efficiency of the control should not neglect the effects of time-delay.

MSC:
37N35 Dynamical systems in control
93B52 Feedback control
70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics
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