Nonlinear dynamics of a microelectromechanical oscillator with delayed feedback

Title

Nonlinear dynamics of a microelectromechanical oscillator with delayed feedback

 Author

Van Leeuwen, R.
Karabacak, D.M.
Van der Zant, H.S.J.
Venstra, W.J.

Faculty

Applied Sciences

 Department

QN/Quantum Nanoscience

 Date

2013-12-05

 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.

 To reference this document use:

http://resolver.tudelft.nl/uuid:6197aa6a-2a27-4b9d-8b29-7d831a0b9159

 DOI

https://doi.org/10.1103/PhysRevB.88.214301

 Publisher

American Physical Society

 ISSN

1098-0121

 Source

Physical Review B, 88 (21), 2013

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2013 American Physical Society
Files
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