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Reentrance-like vibrational resonance in a fractional-order birhythmic biological system

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  • Fu, Peng
  • Wang, Can-Jun
  • Yang, Ke-Li
  • Li, Xu-Bo
  • Yu, Biao

Abstract

The occurrence of vibrational resonance in an enzymatic substrate reaction described by a fractional-order birhythmic biological model driven by a low-frequency and a high-frequency signal is investigated. A novel reentrance-like vibrational resonance phenomenon is found, i.e., a switch from “single peak→ double peaks → single peak” with the order of the fractional time-derivatives q, the parameters α, and β varying. However, the nonlinearity parameter μ induces only a switch from “single peak→ double peaks”. The mechanics is demonstrated based on the best phase synchronization between the input and the output signal. Meanwhile, the theoretical analysis is carried out by means of the method of the separation of fast and slow variables. The theoretical results show the same phenomenon as the numerical results.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921010031
    DOI: 10.1016/j.chaos.2021.111649
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    References listed on IDEAS

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    1. Haiping Ye & Yongsheng Ding, 2009. "Nonlinear Dynamics and Chaos in a Fractional-Order HIV Model," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-12, June.
    2. Christophe Tricaud & YangQuan Chen, 2010. "Time-Optimal Control of Systems with Fractional Dynamics," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-16, February.
    3. Yu, Dong & Lu, Lulu & Wang, Guowei & Yang, Lijian & Jia, Ya, 2021. "Synchronization mode transition induced by bounded noise in multiple time-delays coupled FitzHugh–Nagumo model," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    4. René Yamapi & André Chéagé Chamgoué & Giovanni Filatrella & Paul Woafo, 2017. "Coherence and stochastic resonance in a birhythmic van der Pol system," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 90(8), pages 1-16, August.
    5. 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).
    6. Yan, Ye & Kou, Chunhai, 2012. "Stability analysis for a fractional differential model of HIV infection of CD4+ T-cells with time delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(9), pages 1572-1585.
    7. 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).
    8. Chéagé Chamgoué, A. & Ngueuteu, G.S.M. & Yamapi, R. & Woafo, P., 2018. "Memory effect in a self-sustained birhythmic biological system," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 160-169.
    9. Kadji, H.G. Enjieu & Orou, J.B. Chabi & Yamapi, R. & Woafo, P., 2007. "Nonlinear dynamics and strange attractors in the biological system," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 862-882.
    10. Guo, Qin & Sun, Zhongkui & Xu, Wei, 2019. "Delay-induced transitions in the birhythmic biological model under joint noise sources," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 337-348.
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    Cited by:

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    2. Qiao, Zijian & He, Yuanbiao & Liao, Changrong & Zhu, Ronghua, 2023. "Noise-boosted weak signal detection in fractional nonlinear systems enhanced by increasing potential-well width and its application to mechanical fault diagnosis," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. 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).
    4. Nganso, E. Njinkeu & Mbouna, S.G. Ngueuteu & Yamapi, R. & Filatrella, G. & Kurths, J., 2023. "Two-attractor chimera and solitary states in a network of nonlocally coupled birhythmic van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    5. Roy-Layinde, T.O. & Omoteso, K.A. & Diala, U.H. & Runsewe, J.A. & Laoye, J.A., 2024. "Analysis of vibrational resonance in an oscillator with exponential mass variation," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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