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

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  • You, Pinlong
  • Lin, Lifeng
  • Wang, Huiqi

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.

Suggested Citation

  • You, Pinlong & Lin, Lifeng & Wang, Huiqi, 2020. "Cooperative mechanism of generalized stochastic resonance in a time-delayed fractional oscillator with random fluctuations on both mass and damping," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
    • Handle: RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301910
    DOI: 10.1016/j.chaos.2020.109789
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    References listed on IDEAS

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    Cited by:

    1. Lin, Lifeng & Lin, Tianzhen & Zhang, Ruoqi & Wang, Huiqi, 2023. "Generalized stochastic resonance in a time-delay fractional oscillator with damping fluctuation and signal-modulated noise," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    2. Lin, Lifeng & He, Minyue & Wang, Huiqi, 2022. "Collective resonant behaviors in two coupled fluctuating-mass oscillators with tempered Mittag-Leffler memory kernel," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).

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