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Collective resonant behaviors in two coupled fluctuating-mass oscillators with tempered Mittag-Leffler memory kernel

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  • Lin, Lifeng
  • He, Minyue
  • Wang, Huiqi

Abstract

In this study, we propose the coupled fluctuating-mass oscillators with a tempered Mittag-Leffler (M-L) memory kernel, and investigate the collective resonant behaviors. Using the stochastic average method, we acquire the analytical expression of steady-state output amplitude. Based on numerical results, we further study the dependence on various system parameters in detail, and find that coupling strength, memory exponent and memory time exert different effects on the non-monotonic behaviors. We also observe that stochastic resonance (SR) in the wide sense occurs in the coupled system. These results can provide more extensive support for manipulating the collective behaviors in the potential applications.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921009954
    DOI: 10.1016/j.chaos.2021.111641
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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).

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