VAN DER POL'S OSCILLATOR UNDER DELAYED FEEDBACK

VAN DER POL'S OSCILLATOR UNDER DELAYED FEEDBACK The effect of delayed feedback on oscillatory behaviour is investigated for the classical van der Pol oscillator. It is shown how the presence of delay can change the amplitude of limit cycle oscillations, or suppress them altogether. The result is compared to the conventional proportional-and-derivative feedback. The derivative-like effect of delay is also demonstrated in a modified equation where a delayed term provides the damping. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of Sound and Vibration Elsevier

VAN DER POL'S OSCILLATOR UNDER DELAYED FEEDBACK

Journal of Sound and Vibration, Volume 218 (2) – Nov 26, 1998

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Publisher
Elsevier
Copyright
Copyright © 1998 Academic Press
ISSN
0022-460X
eISSN
1095-8568
D.O.I.
10.1006/jsvi.1998.1843
Publisher site
See Article on Publisher Site

Abstract

The effect of delayed feedback on oscillatory behaviour is investigated for the classical van der Pol oscillator. It is shown how the presence of delay can change the amplitude of limit cycle oscillations, or suppress them altogether. The result is compared to the conventional proportional-and-derivative feedback. The derivative-like effect of delay is also demonstrated in a modified equation where a delayed term provides the damping.

Journal

Journal of Sound and VibrationElsevier

Published: Nov 26, 1998

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