Nonlinear dynamics of a microelectromechanical oscillator with delayed feedback

Journal article (2013)
Department
QN/Quantum Nanoscience (AS) (TU Delft)
Copyright: © 2013 American Physical Society
DOI: https://doi.org/doi:10.1103/PhysRevB.88.214301
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Published Date

05-12-2013

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Source:

Physical Review B, 88 (21), 2013

Faculty

Applied Sciences

Department

QN/Quantum Nanoscience

Abstract

We study the dynamics of a nonlinear electromechanical oscillator with delayed feedback. Compared to their linear counterparts, we find that the dynamics is dramatically different. The well-known Barkhausen stability criterion ceases to exist, and two modes of operation emerge: one characterized by hysteresis in combination with a bistable frequency and amplitude; the other, by self-stabilization of the oscillation frequency and amplitude. The observed features are captured by a model based on a Duffing equation with delayed force feedback. Nonlinear oscillators with delayed force feedback are exemplary for a large class of dynamic systems.