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 paper, a phase transition induced by external noise was observed using a parametric oscillator driven by a random current, additionally supplied to the sinusoidal pumping current, and the phase transition was shown to be induced by an external noise source.
36 citations
TL;DR: In this paper, the authors used analytical techniques such as the Melnikov theory to obtain the threshold condition for the occurrence of Smale-horseshoe type chaos in the Rayleigh-Duffing oscillator.
Abstract: The Rayleigh oscillator is one canonical example of self-excited systems. However, simple generalizations of such systems, such as the Rayleigh–Duffing oscillator, have not received much attention. The presence of a cubic term makes the Rayleigh–Duffing oscillator a more complex and interesting case to analyze. In this work, we use analytical techniques such as the Melnikov theory, to obtain the threshold condition for the occurrence of Smale-horseshoe type chaos in the Rayleigh–Duffing oscillator. Moreover, we examine carefully the phase space of initial conditions in order to analyze the effect of the nonlinear damping, and in particular how the basin boundaries become fractalized.
36 citations
TL;DR: The implications of changing amplitude and phase with duty cycle for robust open-loop operation and future closed-loop operating strategies are discussed.
Abstract: High frequency large scanning angle electrostatically actuated microelectromechanical systems (MEMS) mirrors are used in a variety of applications involving fast optical scanning. A 1-D parametrically resonant torsional micromirror for use in biomedical imaging is analyzed here with respect to operation by duty-cycled square waves. Duty-cycled square wave excitation can have significant advantages for practical mirror regulation and/or control. The mirror's nonlinear dynamics under such excitation is analyzed in a Hill's equation form. This form is used to predict stability regions (the voltage-frequency relationship) of parametric resonance behavior over large scanning angles using iterative approximations for nonlinear capacitance behavior of the mirror. Numerical simulations are also performed to obtain the mirror's frequency response over several voltages for various duty cycles. Frequency sweeps, stability results, and duty cycle trends from both analytical and simulation methods are compared with experimental results. Both analytical models and simulations show good agreement with experimental results over the range of duty cycled excitations tested. This paper discusses the implications of changing amplitude and phase with duty cycle for robust open-loop operation and future closed-loop operating strategies.
36 citations
12 Jun 1973
TL;DR: In this article, a very high stability microwave oscillator system was developed which has a high Q superconducting cavity as its frequency determining element and an intermediate frequency discriminator is used to produce a feedback voltage which maintains the oscillator at the center of the cavity resonance.
Abstract: : A very high stability microwave oscillator system was developed which has a high Q superconducting cavity as its frequency determining element. In stabilized oscillator (SCSO), the rf power is generated by a Gunn-Effect oscillator whose frequency is electronically tuned by a varactor diode. An intermediate frequency discriminator is used to produce a feedback voltage which maintains the oscillator at the center of the cavity resonance. An improved stabilization system is now reported which has higher short term stability.
36 citations
TL;DR: In this article, a two-degree-of-freedom translational system has been developed to study the influence of normal force oscillations on the stability of the steady sliding position, where the normal and tangential motion are coupled through a velocity-dependent friction law.
Abstract: A two-degree-of-freedom translational system has been developed to study the influence of normal force oscillations on the stability of the steady sliding position. Excited by a small, periodic surface roughness, the normal and tangential motion are coupled through a velocity-dependent friction law. The linearized system has been examined using the first-order averaging technique of Krylov and Boguliubov. In addition to the primary forced resonance, a 2:1 parametric resonance and a 1/2 sub-harmonic resonance have been encountered. Arising from velocity-dependent coupling of the normal and tangential modes and the periodic normal force variations, the parametric resonance has been found to produce locally unstable responses in some cases. Conditions for the stability of the local response based upon local friction curve slope, static normal force, system damping, and surface velocity have been derived for a broad range of frequency.
36 citations