Results 181 to 190 of about 7,689 (210)
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Capture into resonance of coupled Duffing oscillators
Physical Review E, 2015In this paper we investigate capture into resonance of a pair of coupled Duffing oscillators, one of which is excited by periodic forcing with a slowly varying frequency. Previous studies have shown that, under certain conditions, a single oscillator can be captured into persistent resonance with a permanently growing amplitude of oscillations ...
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Time Optimal Control and the Duffing Oscillator
IMA Journal of Applied Mathematics, 1972This paper is an introduction to time optimal control problems for second order systems, while the example of the Duffing oscillator is used to illustrate the difficulties introduced by multiple solutions of the Maximum Principle. The phenomenon of lobesweeping is described and both swept and unswept switching curves given in the strongly nonlinear ...
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Helmholtz, Duffing and Helmholtz-Duffing Oscillators: Exact Steady-State Solutions
2019This work presents an analytic technique aimed at designing the external excitation of linear and nonlinear oscillators so that a prescribed form of their steady-state response can be achieved. The technique exploits the exact analytic solutions of the oscillator response having quadratic and/or cubic nonlinearities.
Kovacic I., Gatti G.
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Regular and irregular motions in a duffing oscillator
International Applied Mechanics, 2000The author studies the Duffing equation \(\frac{dx^2}{d\xi^2} + h \frac{dx}{d\xi} - x(\kappa - \gamma x^2) = f(\Omega\xi)\) under periodic external excitation with frequency \(\Omega\). A relationship is established between the symmetry of quasistatic solutions and regularity of motions occurring due to the periodic perturbation.
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Hybrid rayleigh–van der pol–duffing oscillator: Stability analysis and controller
Journal of Low Frequency Noise Vibration and Active Control, 2022Chun-Hui He, Dan Tian, Marwa H Zekry
exaly
MULTISTABILITY AND RARE ATTRACTORS IN VAN DER POL–DUFFING OSCILLATOR
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2011Agnieszka Chudzik +2 more
exaly