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Complex stochastic resonance in a two-dimensional airfoil system

Author

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  • 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
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