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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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    References listed on IDEAS

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    1. A. Kumar & N. S. Upadhye & A. Wyłomańska & J. Gajda, 2019. "Tempered Mittag-Leffler Lévy processes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 48(2), pages 396-411, January.
    2. Guo, Feng & Zhu, Cheng-Yin & Cheng, Xiao-Feng & Li, Heng, 2016. "Stochastic resonance in a fractional harmonic oscillator subject to random mass and signal-modulated noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 459(C), pages 86-91.
    3. Shi, Peiming & Xia, Haifeng & Han, Dongying & Fu, Rongrong & Yuan, Danzhen, 2018. "Stochastic resonance in a time polo-delayed asymmetry bistable system driven by multiplicative white noise and additive color noise," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 8-14.
    4. Gitterman, M., 2005. "Classical harmonic oscillator with multiplicative noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 352(2), pages 309-334.
    5. Lin, Lifeng & Wang, Huiqi & Ma, Hong, 2019. "Directed transport properties of double-headed molecular motors with balanced cargo," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 270-279.
    6. Tian, Yan & Zhong, Lin-Feng & He, Gui-Tian & Yu, Tao & Luo, Mao-Kang & Stanley, H. Eugene, 2018. "The resonant behavior in the oscillator with double fractional-order damping under the action of nonlinear multiplicative noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 845-856.
    7. Bernardo Spagnolo & Davide Valenti, 2008. "Volatility Effects on the Escape Time in Financial Market Models," Papers 0810.1625, arXiv.org.
    8. Shapiro, V.E. & Loginov, V.M., 1978. "“Formulae of differentiation” and their use for solving stochastic equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 91(3), pages 563-574.
    9. 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).
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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. Zhang, Ruoqi & Meng, Lin & Yu, Lei & Shi, Sihong & Wang, Huiqi, 2024. "Collective dynamics of fluctuating–damping coupled oscillators in network structures: Stability, synchronism, and resonant behaviors," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 638(C).

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