Phenomenon of stochastic resonance caused by multiplicative asymmetric dichotomous noise

The phenomenon of stochastic resonance (SR) in a time-delayed bistable system with square-wave signal, a constant force, with asymmetric dichotomous noise and multiplicative and additive colored noise is investigated. It is found that, the SR behavior can be observed on the signal-to-noise ratio (SNR) curves as a function of the intensity and asymmetry of the dichotomous noise, as a function of the amplitude of the square-wave, the constant force, as well as of the strength of the colored noises.

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Stochastic resonance in two coupled fractional oscillators with potential and coupling parameters subjected to quadratic asymmetric dichotomous noise

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2020.125148 ◽

2021 ◽

Vol 561 ◽

pp. 125148

Author(s):

Vishwamittar ◽

Priyanka Batra ◽

Ribhu Chopra

Keyword(s):

Stochastic Resonance ◽

Dichotomous Noise ◽

Coupling Parameters ◽

Asymmetric Dichotomous Noise

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Stochastic Resonance in a Harmonic Oscillator with Random Mass Subject to Asymmetric Dichotomous Noise

Journal of Statistical Physics ◽

10.1007/s10955-011-0240-9 ◽

2011 ◽

Vol 144 (1) ◽

pp. 139-149 ◽

Cited By ~ 21

Author(s):

M. Gitterman ◽

I. Shapiro

Keyword(s):

Harmonic Oscillator ◽

Stochastic Resonance ◽

Dichotomous Noise ◽

Random Mass ◽

Asymmetric Dichotomous Noise

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Cascaded Nonlinear Mass Fluctuation Stochastic Resonance System and Its Application in Bearing Fault Diagnosis

Fluctuation and Noise Letters ◽

10.1142/s0219477521500450 ◽

2021 ◽

pp. 2150045

Author(s):

Gang Zhang ◽

Hui Wang ◽

Tian Qi Zhang

Keyword(s):

Fault Diagnosis ◽

Stochastic Resonance ◽

Dichotomous Noise ◽

Output Response ◽

Bearing Fault ◽

Bearing Fault Diagnosis ◽

Output Amplitude ◽

Output Amplitude Gain ◽

Asymmetric Dichotomous Noise ◽

Mass Fluctuation

Stochastic resonance (SR) can realize bearing fault signal diagnosis by transferring noisy energy. In order to enhance the output response of the system and realize effective signal extraction, the nonlinear mass fluctuation SR system caused by nonlinear asymmetric dichotomous noise is cascaded to obtain the cascaded nonlinear mass fluctuation SR system. First, the output amplitude gain of the first-stage of the system is derived, and the influence of different parameters on it is explored; then the effects of different parameters of the cascaded system on the output amplitude gain and the output SNR are studied separately, which proves that the cascaded system can effectively double enhance the output response of the system; finally, the adaptive genetic algorithm is used to solve the difficulty of parameter adjustment, and the cascaded nonlinear mass fluctuation SR system is applied to the bearing fault diagnosis. The system proposed in this paper takes into account the effects of nonlinear asymmetric dichotomous noise and cascaded systems and performs waveform smoothing and double enhancement of the output signal. It can better extract fault signals and has effective engineering value.

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