First-passage behavior of periodic potential system driven by correlated noise

Lou, Xiaojuan; Guo, Yongfeng; Dong, Qiang; Yi, Wei

doi:10.1016/j.cjph.2020.09.022

Cited by 5 publications

(2 citation statements)

References 43 publications

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“…It represents the average time consumed by particles moving from one steadystate point to another. Through the size of the observed value, it reflects the difficulty of particles jumping between potential wells [33]. Combined with the motion principle of Brownian particles in the tristable system and according to the adiabatic approximation theory [34,35], the probability of particle transition between potential wells is:…”

Section: The Spd and Mfpt Of Npuatsr Systemmentioning

confidence: 99%

Research and application of a novel piecewise unsaturated asymmetric tristable stochastic resonance system

Zhang

Zhu

zhang

2022

Meas. Sci. Technol.

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Early fault diagnosis of rolling bearings is of great significance in the application of mechanical equipment, which makes the extraction of weak fault signals particularly critical by stochastic resonance (SR). Compared with bistable SR, tristable SR has stronger advantages in weak signal extraction, but the classical tristable system (CTSR) was limited by output saturation, which resulted in insufficient signal amplification ability. To solve the above problems, combined with asymmetric system whose output can be improved to a higher degree, a novel piecewise unsaturated asymmetric tristable stochastic resonance (NPUATSR) system is proposed. Through numerical simulation, it is concluded that NPUATSR output amplitude varies proportionally with the amplitude of the input, which overcomes the output saturation of CTSR. Secondly, the stationary probability density and mean first passage time of particles are derived by using adiabatic approximation theory, and the variation law caused by parameters is analyzed in combination with potential function, the internal mechanism of the system is further studied. Through the output signal-to-noise ratio (SNR), it is found that the performance advantage of NPUTASR system is the most obvious, and different parameters affect the output SNR. Finally, the adaptive genetic algorithm is used to optimize the parameters, and the proposed system is applied to early fault diagnosis on different types of bearings. After comparison with different systems, the results show that NPUATSR can effectively detect the fault frequency, and has the most outstanding advantages in spectrum amplification and anti-noise performance, which proves that NPUATSR system has significant value in practical engineering application.

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Section: The Spd and Mfpt Of Npuatsr Systemmentioning

confidence: 99%

Research and application of a novel piecewise unsaturated asymmetric tristable stochastic resonance system

Zhang

Zhu

zhang

2022

Meas. Sci. Technol.

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show abstract

“…The numerical simulation method of Gaussian noise is presented below. Initially, the following formula is used for the calculation to create two sets of random numbers

and

that follow the standard normal distribution [49] ,

where

and Q are noise intensity, Δ t is discrete time step. Furthermore, the numerical method of Eq.…”

Section: Deterministic and Stochastic Tumor Growth Modelmentioning

confidence: 99%

Stochastic behaviors of an improved Gompertz tumor growth model with coupled two types noise

Lv¹,

He²,

Cheng³

et al. 2022

Heliyon

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A novel coupled two-dimensional unsaturated asymmetric bistable stochastic resonance system for bearing fault detection

Zhang

Zhu

Jiang³

2022

Measurement

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First-passage behavior of periodic potential system driven by correlated noise

Cited by 5 publications

References 43 publications

Research and application of a novel piecewise unsaturated asymmetric tristable stochastic resonance system

Research and application of a novel piecewise unsaturated asymmetric tristable stochastic resonance system

Stochastic behaviors of an improved Gompertz tumor growth model with coupled two types noise

A novel coupled two-dimensional unsaturated asymmetric bistable stochastic resonance system for bearing fault detection

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