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Theory and numerics of vibrational resonance in a three-level atomic optical bistable system

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  • Zhou, Zhao-Xiang
  • Yang, Ke-Li
  • Wang, Can-Jun
  • Yu, Biao
  • Li, Xu-Bo
  • Su, Yue-Wen

Abstract

The vibrational resonance phenomenon in a three-level atomic optical bistable system driven by two kinds of different frequency signals is investigated. By virtue of the method of the direct separation of fast and slow motions, the approximate analytical expression for the response amplitude Q at the low-frequency is obtained. It is found that the response amplitude presents a peak with the amplitude and frequency of the high-frequency signal varying, and it is identified as the characteristic signature of the vibrational resonance. Meanwhile, the position, at which the vibrational resonance occurs, is determined by the analytical expression of the response amplitude. The effects of the other parameters on vibrational resonance in the three-level atomic optical bistable system are also investigated. The mechanism of vibrational resonance phenomenon is given by the phase synchronization between the input and output signals. The numerical simulation and theoretic results are in basic agreement.

Suggested Citation

  • Zhou, Zhao-Xiang & Yang, Ke-Li & Wang, Can-Jun & Yu, Biao & Li, Xu-Bo & Su, Yue-Wen, 2023. "Theory and numerics of vibrational resonance in a three-level atomic optical bistable system," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002564
    DOI: 10.1016/j.chaos.2023.113355
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    References listed on IDEAS

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    1. K. P. Harikrishnan & G. Ambika, 2008. "Resonance phenomena in discrete systems with bichromatic input signal," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 61(3), pages 343-353, February.
    2. Wang, Guowei & Yu, Dong & Ding, Qianming & Li, Tianyu & Jia, Ya, 2021. "Effects of electric field on multiple vibrational resonances in Hindmarsh-Rose neuronal systems," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. Ge, Mengyan & Lu, Lulu & Xu, Ying & Mamatimin, Rozihajim & Pei, Qiming & Jia, Ya, 2020. "Vibrational mono-/bi-resonance and wave propagation in FitzHugh–Nagumo neural systems under electromagnetic induction," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
    4. Fu, Peng & Wang, Can-Jun & Yang, Ke-Li & Li, Xu-Bo & Yu, Biao, 2022. "Reentrance-like vibrational resonance in a fractional-order birhythmic biological system," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
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