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-deriv
The response of a Duffing–van der Pol oscillator under delayed feedback control
✍ Scribed by Xinye Li; J.C. Ji; Colin H. Hansen; Chunxiao Tan
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 338 KB
- Volume
- 291
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
The trivial equilibrium of a van der Pol-Duffing oscillator with a nonlinear feedback control may lose its stability via Hopf bifurcations, when the time delay involved in the feedback control reaches certain values. Nonresonant Hopf-Hopf interactions may occur in the controlled van der Pol-Duffing
This paper examines the suppression of hysteresis in a forced nonlinear self-sustained oscillator near the fundamental resonance. The suppression is studied by applying a rapid forcing on the oscillator. Analytical treatment based on perturbation analysis is performed to capture the entrainment zone