IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v196y2025ics0960077925003339.html
   My bibliography  Save this article

Complex stochastic resonance in a two-dimensional airfoil system

Author

Listed:
  • Wang, Zheng
  • Zhu, Jinjie
  • Liu, Xianbin

Abstract

This paper investigates complex stochastic resonance in a two-dimensional airfoil system under random perturbations. We examine a classical two-dimensional airfoil model with nonlinear stiffness, focusing on the dynamic transitions between fixed points (FP) and limit cycles (LC) in a bistable region. We investigates a stochastic resonance phenomenon characterized by periodic transitions between FP and LC states when the system is simultaneously subjected to Gaussian white noise and weak periodic forcing. In this paper, we refer to this phenomenon as “breathing stochastic resonance”. We employ the coefficient of variation to quantitatively assess the coherence of these transitions and utilize mean first passage time (MFPT) to characterize the transition mechanisms between different stable states. Our results demonstrate that optimal resonance occurs at specific combinations of the noise intensity and the flow speed. The study also reveals that increasing the periodic forcing amplitude enhances system coherence within the bistable region, while there exists an optimal forcing frequency that maximizes the stochastic resonance effect. These findings provide valuable insights for understanding aeroelastic system dynamics and enhancing monitoring systems to better predict and prepare for instabilities under complex environmental conditions.

Suggested Citation

  • Wang, Zheng & Zhu, Jinjie & Liu, Xianbin, 2025. "Complex stochastic resonance in a two-dimensional airfoil system," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    • Handle: RePEc:eee:chsofr:v:196:y:2025:i:c:s0960077925003339
    DOI: 10.1016/j.chaos.2025.116320
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925003339
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116320?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Zhu, Jinjie & Zhao, Feng & Li, Yang & Liu, Xianbin, 2024. "Rotational stochastic resonance in multistable systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 634(C).
    2. He, Lifang & Jiang, Zhiyuan & Chen, Yezi, 2024. "Unveiling the principles of stochastic resonance and complex potential functions for bearing fault diagnosis," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Li, Mengdi & Huang, Jinfeng & Shi, Peiming & Zhang, Feibin & Gu, Fengshou & Chu, Fulei, 2024. "A secondary optimization strategy in stochastic resonance modelling for the detection of unknown bearing faults," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    2. He, Lifang & Xiong, Qing & Bi, Lujie, 2024. "Optimizing DSFH communication system performance via multi-feedback unsaturated tri-stable stochastic resonance for enhancement of periodic signal," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 650(C).
    3. Zhang, Gang & Liu, Wenhao & Xiong, Qing & Lei, Luming, 2024. "Application of a vibration resonance-assisted enhanced feedforward cascaded stochastic resonance system in bearing diagnostics," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:196:y:2025:i:c:s0960077925003339. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.