Determining the source of phase noise: Response of a driven Duffing oscillator to low-frequency damping and resonance frequency fluctuations

We present an analytical calculation of the response of a driven Duffing oscillator to low-frequency fluctuations in the resonance frequency and damping. We find that fluctuations in these parameters manifest themselves distinctively, allowing them to be distinguished. In the strongly nonlinear regi...

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Bibliographic Details
Published inarXiv.org
Main Authors Barquist, C S, Jiang, W G, Gunther, K, Lee, Y
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 14.07.2021
Subjects
Amplitudes
Damping
Duffing oscillators
LF noise
Physics - Applied Physics
Physics - Chaotic Dynamics
Physics - Other Condensed Matter
Quadratures
Resonance
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Summary:We present an analytical calculation of the response of a driven Duffing oscillator to low-frequency fluctuations in the resonance frequency and damping. We find that fluctuations in these parameters manifest themselves distinctively, allowing them to be distinguished. In the strongly nonlinear regime, amplitude and phase noise due to resonance frequency fluctuations and amplitude noise due to damping fluctuations are strongly attenuated, while the transduction of damping fluctuations into phase noise remains of order \(1\). We show that this can be seen by comparing the relative strengths of the amplitude fluctuations to the fluctuations in the quadrature components, and suggest that this provides a means to determine the source of low-frequency noise in a driven Duffing oscillator.
ISSN:2331-8422
DOI:10.48550/arxiv.2107.06879