Levy noise-driven stochastic resonance in a coupled monostable system

Liu, Lu; Wang, Fuzhong; Liu, Yunjiang

doi:10.1140/epjb/e2018-90520-y

Cited by 4 publications

(2 citation statements)

References 29 publications

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“…In the past twenty or thirty years, SR has made tremendous progress in the field of signal processing and has made great achievements [9][10][11]. In SR model, there are many SR system models, such as monostable model [12], bistable model [13], coupled monostable model [14],…”

Section: Introductionmentioning

confidence: 99%

Symmetry tristable stochastic resonance induced by parameter under levy noise background

et al. 2019

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The symmetric tristable stochastic resonance (SR) phenomenon under Levy distributed noise is studied using signal-to-noise ratio as a standard for signal quality improvement. According to structural characteristics of the tristable system, a method of indirect parameter control is constructed and a mapping relationship between the attractor curve and system input is analyzed. The research results show that the indirect parameter regulation method for symmetrical tristable is intuitive, simple and effective. The input signal of system can promote transition of the micro-particle between three potential wells to generate SR under a certain amount of noise intensity. Variation laws of the system output x (t) with time t in the simulation experiment results satisfies the theoretical analysis of attractor curve.

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Section: Introductionmentioning

confidence: 99%

Symmetry tristable stochastic resonance induced by parameter under levy noise background

et al. 2019

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“…Therefore, SR is usually applied to weak signal detection and extraction against a strong noise background. [8][9][10][11] As one of the hot spots in the field of information processing, SR has been extensively studied in recent years. [12][13][14][15][16][17][18] Xu et al 19 constructed a coupled multistationary SR system model and transformed the coupled system by adiabatic approximation and the perturbation method to obtain the main equation of the coupled system.…”

Section: Introductionmentioning

confidence: 99%

Secondary signal-induced large-parameter stochastic resonance for feature extraction of mechanical faults

Liu

Wang

Liu

et al. 2019

Int. J. Mod. Phys. B

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Aiming to solve the problem that it is difficult to extract large parameter signals from a strong noise background, a novel method of large parameter stochastic resonance (SR) induced by a secondary signal is proposed. The SR mechanism of high-frequency signals is expounded by analyzing the density distribution curve. High-frequency signals are converted to low-frequency signals using the scale transformation method, and then large-parameter SR is induced by the secondary signal. Ultimately, the method is applied to the feature extraction of mechanical faults. Simulation and experimental results indicate that (i) the effect of SR induced by the secondary signal is significantly enhanced when the frequency of the secondary signal is twice that of the signals to be detected after the scale transformation; (ii) when the frequency of secondary signal is twice the maximum frequency of the signals to be detected after the scale transformation, choosing an appropriate amplitude of secondary signal can alleviate the problem that the noise energy is excessively concentrated in the low-frequency channel with regard to the extraction of two-frequency or three-frequency high-frequency signals; and (iii) by adding the secondary signal to the engineering example, the fault power spectrum value of system output is 101% higher than that without the secondary signal.

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An improved social mimic optimization algorithm and its application in bearing fault diagnosis

Yu,

Jiang,

Zhou

et al. 2024

Neural Comput & Applic

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Levy noise-driven stochastic resonance in a coupled monostable system

Cited by 4 publications

References 29 publications

Symmetry tristable stochastic resonance induced by parameter under levy noise background

Symmetry tristable stochastic resonance induced by parameter under levy noise background

Secondary signal-induced large-parameter stochastic resonance for feature extraction of mechanical faults

An improved social mimic optimization algorithm and its application in bearing fault diagnosis

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