The escape problem and stochastic resonance in a bistable system driven by fractional Gaussian noise

Wang, Wei; Yan, Zhi; Liu, Xianbin

doi:10.1016/j.physleta.2017.05.011

Cited by 16 publications

(4 citation statements)

References 36 publications

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“…Another tool that has been used in the past [6,[43][44][45][46][47][48] to study stochastic resonance is to investigate the escape of particles from a single well. That is, suppose we solve the same Fokker-Planck equation (7) as before, but now only on the interval x ∈ [0, 3].…”

Section: Escape Timesmentioning

confidence: 99%

Information length as a new diagnostic in the periodically modulated double-well model of stochastic resonance

Hollerbach

Kim

Mahi

2019

Physica A: Statistical Mechanics and its Applications

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Section: Escape Timesmentioning

confidence: 99%

Information length as a new diagnostic in the periodically modulated double-well model of stochastic resonance

Hollerbach

Kim

Mahi

2019

Physica A: Statistical Mechanics and its Applications

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“…Classical bistable stochastic resonance (CBSR) is one of the most extensively used stochastic resonance method. [25][26][27] The CBSR phenomenon is that in the classical bistable system, the periodic motion of Brownian particle is enhanced under the driving of periodic and random force with the assistance of appropriate noise. Which exists in nonlinear system with weak periodic signals and noises.…”

Section: Introductionmentioning

confidence: 99%

Structural damage detection of adaptive tangent-based unsaturated bistable stochastic resonance

Wang

Xuan

2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The output saturation of classical bistable stochastic resonance (CBSR) limits its ability to enhance weak signal characteristics. To solve this problem, an adaptive tangent-based unsaturated bistable stochastic resonance (TUBSR) method is proposed. We construct a tangent-based piecewise unsaturated bistable potential model, and select the optimal system parameters with genetic algorithm (GA) to adaptively adjust the structure of potential model, so as to improve the output saturation and obtain a larger output signal-to-noise ratio (SNR). The simulated signals are used to verify that the TUBSR method can effectively improve the detection ability of weak signals. Finally, the method is applied to the damage detection of bearing inner race and the crack detection of curved plate. The results demonstrate that compared with CBSR and other improved bistable SR method, the TUBSR method has better detection ability for weak signals.

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“…e problem of weak signal detection using a cascade SR system is studied in [38]. e study of SR in α-stable noise has attracted more and more attention [39][40][41][42][43][44].…”

Section: Introductionmentioning

confidence: 99%

Research on Stochastic Resonance Detection Method for Periodic Signals under Low SNR and α-Stable Noise

Liu³

et al. 2021

Mobile Information Systems

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In Dual Sequence Frequency Hopping (DSFH) communication mode, aiming at improving the detection performance to weak signal under low signal-to-noise ratio (SNR) conditions, stochastic resonance (SR) detection method is proposed. First, the α-stable distribution is used as the impulsive noise model and the influence of α value on the properties of α-stable noise is analyzed. Second, the transmitting and receiving signal model of DSFH communication system is introduced. The SR method is used to detect DSFH signal. In order to analyze the output signal, the fractional Fokker–Planck equation (FFPE) is established, and a new simplified solution method based on sampling decision time is proposed to solve the time-varying fractional differential equation. Base on the theoretical solution of FFPE, a binary hypothesis test statistic is constructed to quantify the signal detection probability and false alarm probability, and the detection performance is analyzed. Finally, simulation experiments verify the theoretical conclusions. The minimum effective SNR for SR detection is obtained, and it is about −20 dB, which provides a theoretical basis for the application of SR in the DSFH communication system.

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The escape problem and stochastic resonance in a bistable system driven by fractional Gaussian noise

Cited by 16 publications

References 36 publications

Information length as a new diagnostic in the periodically modulated double-well model of stochastic resonance

Information length as a new diagnostic in the periodically modulated double-well model of stochastic resonance

Structural damage detection of adaptive tangent-based unsaturated bistable stochastic resonance

Research on Stochastic Resonance Detection Method for Periodic Signals under Low SNR and α-Stable Noise

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