Cooperative mechanism of generalized stochastic resonance in a time-delayed fractional oscillator with random fluctuations on both mass and damping

Pinlong You, Lifeng Lin and Huiqi Wang

Chaos, Solitons & Fractals, 2020, vol. 135, issue C

Abstract: In this paper, we investigate the generalized stochastic resonance (GSR) of a time-delayed fractional oscillator (FO) with the random dichotomous fluctuations on both mass and damping. By applying generalized fractional Shapiro–Loginov formula and Laplace transform, we analyze the system steady response and acquire the exact expression of output amplitude. Based on the evolutions of output amplitude varying with fractional order, time delay and dichotomous parameters, we reveal the cooperative mechanism to conduct a rich variety of GSR behaviors existing in this system. Particularly, it is found that time delay has little effect on the diversities of GSR, but plays an important role in amplifying the output amplitude. These results will provide more extensive support for manipulating resonant behaviors through system parameter control in the potential applications.

Keywords: Fractional Langevin equation (FLE); Time delay; Generalized stochastic resonance (GSR); Mass fluctuation; Damping fluctuation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301910

DOI: 10.1016/j.chaos.2020.109789

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