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- Title
Nonlinear resonance in Duffing oscillator with fixed and integrative time-delayed feedbacks.
- Authors
RAVICHANDRAN, V; CHINNATHAMBI, V; RAJASEKAR, S
- Abstract
We study the nonlinear resonance, one of the fundamental phenomena in nonlinear oscillators, in a damped and periodically-driven Duffing oscillator with two types of time-delayed feedbacks, namely, fixed and integrative. Particularly, we analyse the effect of the time-delay parameter α and the strength γ of the time-delayed feedback. Applying the perturbation theory we obtain a nonlinear equation for the amplitude of the periodic response of the system. For a range of values of γ and α, the response amplitude is found to be higher than that of the system in the absence of delayed feedback. The response amplitude is periodic on the parameter α with period 2 π/ ω where ω is the angular frequency of the external periodic force. We show the occurrence of multiple branches of the response amplitude curve with and without hysteresis.
- Subjects
TIME delay systems; RESONANCE; DUFFING oscillators; PERTURBATION theory; FREQUENCY response; HYSTERESIS loop
- Publication
Pramana: Journal of Physics, 2012, Vol 78, Issue 3, p347
- ISSN
0304-4289
- Publication type
Article
- DOI
10.1007/s12043-011-0244-7