Topic
Parametric oscillator
About: Parametric oscillator is a research topic. Over the lifetime, 5836 publications have been published within this topic receiving 95631 citations. The topic is also known as: Parametric excitation.
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TL;DR: In this article, the authors analyzed the complicated nonlinear dynamics of rotor-active magnetic bearings (rotor-AMB) with 16-pole legs and the time varying stiffness.
54 citations
TL;DR: In this paper, a stochastic averaging method for strongly nonlinear oscillators with lightly fractional derivative damping of order α (0 < α < 1) under combined harmonic and white noise external and (or) parametric excitations is proposed and then applied to study the first passage failure of Duffing oscillator with 1/2 damping in the case of primary parametric resonance.
Abstract: A stochastic averaging method for strongly nonlinear oscillators with lightly fractional derivative damping of order α (0<α<1) under combined harmonic and white noise external and (or) parametric excitations is proposed and then applied to study the first passage failure of Duffing oscillator with lightly fractional derivative damping of order 1/2 under combined harmonic and white noise excitations in the case of primary parametric resonance. Numerical results show that the proposed method works very well.
53 citations
TL;DR: In this article, the authors proposed a scheme to generate macroscopic Schrodinger-cat states in a quantum harmonic oscillator coupled to a quantum bit via a conditional displacement mechanism, which can be used to prepare quantum superpositions of macroscopically distinct coherent states in the oscillator.
Abstract: We propose a scheme to generate macroscopic Schr\"odinger-cat states in a quantum harmonic oscillator (electromagnetic field or mechanical resonator) coupled to a quantum bit (two-level system) via a conditional displacement mechanism. By driving the qubit monochromatically, the oscillation of the qubit state modifies the effective frequency of the driving force acting on the oscillator, and a resonant or near-resonant driving on the oscillator can be achieved. The displacement of the oscillator is then significantly enhanced due to the small detuning of the driving force and can exceed that of the zero-point fluctuation. This effect can be used to prepare quantum superpositions of macroscopically distinct coherent states in the oscillator. We present detailed studies on this state-generation scheme in both the closed- and open-system cases. This approach can be implemented in various experimental platforms, such as cavity- or circuit-QED systems, electromechanical systems, and spin-cantilever systems.
53 citations
TL;DR: In this paper, the authors demonstrate how recent ideas and methods of bifurcation theory and nonlinear dynamics have improved the understanding of structural buckling under dynamic loads and vibration of circular cylindrical shells under parametric excitation.
53 citations
TL;DR: In this paper, the effect of de-coupling the idlers is considered and it is shown that this configuration relaxes the standard phase matching condition, and a 16-element ring resonator with varactor diodes is presented.
53 citations