Parametric resonance in the Rayleigh-Duffing oscillator with time-delayed feedback
| dc.contributor.author | Siewe, M. Siewe | |
| dc.contributor.author | Tchawoua, C. | |
| dc.contributor.author | Rajasekar, S. | |
| dc.date.accessioned | 2012-10-05T14:31:06Z | |
| dc.date.available | 2012-10-05T14:31:06Z | |
| dc.date.issued | 2012-11 | |
| dc.description.abstract | We investigate the principal parametric resonance of a Rayleigh–Duffing oscillator with time-delayed feedback position and linear velocity terms. Using the asymptotic perturbation method, we obtain two slow flow equations on the amplitude and phase of the oscillator. We study the effects of the frequency detuning, the deterministic amplitude, and the time-delay on the dynamical behaviors, such as stability and bifurcation associated with the principal parametric resonance. Moreover, the appropriate choice of the feedback gain and the time-delay is discussed from the viewpoint of vibration control. It is found that the appropriate choice of the time-delay can broaden the stable region of the non-trivial steady-state solutions and enhance the control performance. Theoretical stability analysis is verified through a numerical simulation. | en_US |
| dc.description.librarian | ai2013 | |
| dc.description.sponsorship | The University of Pretoria | en_US |
| dc.description.uri | http://www.elsevier.com/locate/cnsns | en_US |
| dc.identifier.citation | Siewe M. Siewe, C. Tchawoua & S. Rajasekar, Parametric resonance in the Rayleigh-Duffing oscillator with time-delayed feedback, Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 11, pp. 4485-4493 (2012), doi: 10.1016/j.cnsns.2012.02.030. | en_US |
| dc.identifier.issn | 1007-5704 (print) | |
| dc.identifier.issn | 1878-7274 (online) | |
| dc.identifier.other | 10.1016/j.cnsns.2012.02.030 | |
| dc.identifier.uri | http://hdl.handle.net/2263/20073 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | © 2012 Elsevier. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Communications in Nonlinear Science and Numerical Simulation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Communications in Nonlinear Science and Numerical Simulation, vol 17, issue 11, November 2012, doi: 10.1016/j.cnsns.2012.02.030. | en_US |
| dc.subject | Delay feedback | en_US |
| dc.subject | Parametric excitation | en_US |
| dc.subject.lcsh | Parametric oscillators | en |
| dc.subject.lcsh | Parametric vibration | en |
| dc.subject.lcsh | Time delay systems | en |
| dc.subject.lcsh | Resonance | en |
| dc.subject.lcsh | Resonant vibration | en |
| dc.subject.lcsh | Oscillators, Electric | en |
| dc.subject.lcsh | Feedback (Electronics) | en |
| dc.title | Parametric resonance in the Rayleigh-Duffing oscillator with time-delayed feedback | en_US |
| dc.type | Postprint Article | en_US |