A novel second-order tri-stable stochastic resonance system with synchronized potential-well width-depth variation and its application

Cailiang Zhang, Ronghua Zhu, Zhisheng Tu, Yong Chen and Chao Dai

Chaos, Solitons & Fractals, 2025, vol. 201, issue P3

Abstract: The second-order tri-stable stochastic resonance (STSR) system can effectively utilize background noise to enhance weak features and extract weak characteristic signals, but its output saturation phenomenon leads to reduced system performance. Although classical piecewise potential function systems can partially address the output saturation issue, their structure is relatively complex, and determining system parameters is challenging. To tackle this problem, this article proposes a method to resolve the output saturation phenomenon in tri-stable stochastic resonance systems based on adjusting the potential well width. A single-parameter adjustment STSR system (SASTSR) based on this method is constructed. Furthermore, the steady-state probability density (SPD) and mean first passage time (MFPT) of the SASTSR system are derived, revealing the impact of system parameters on the system's SPD and MFPT. Building upon the analysis of the piecewise potential function STSR system and the SASTSR system, the article delves into the output saturation phenomenon of the SASTSR system, uncovering the underlying mechanism of the output saturation phenomenon in STSR systems. It demonstrates the effectiveness of the SASTSR system in resolving the output saturation phenomenon in STSR systems. Finally, a generalized SASTSR system was established based on scale transformation methodology, and an adaptive weak characteristic signal extraction method was developed accordingly. The effectiveness of the proposed approach has been successfully verified through vibration signal analysis of offshore wind turbine foundations.

Keywords: Second-order tri-stable stochastic resonance; Single-parameter adjustment STSR system; Output saturation phenomenon; Adaptive weak characteristic signal extraction method (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:201:y:2025:i:p3:s0960077925014079

DOI: 10.1016/j.chaos.2025.117394

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