Stochastic resonance characteristics analysis of an asymmetric tri-stable system under &alpha;-stable distributed noise

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (3) : 109-115.

Stochastic resonance characteristics analysis of an asymmetric tri-stable system under α-stable distributed noise

ZHANG Gang, XIE Pan, ZHANG Tianqi

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Abstract

Here, aiming at the asymmetry of a system in practical engineering applications, an asymmetric tri-stable system combined with α-stable distributed noise was proposed, and the average signal-to-noise ratio improvement was taken as the performance index. Then, influence laws of the system parameters a, b, system asymmetric skewness r and noise intensity amplification factor D on the stochastic resonant output of the asymmetric tri-stable system with changes of the characteristic index α of α-stable distributed noise and the symmetry parameter β were explored. The study results showed that under α-stable distributed noise environment, appropriately adjusting the system structure parameters a, b and skewness r can induce stochastic resonance to realize the weak signal detection, and intervals with better performance do not change with variation of α or β; when sudying noise-induced stochastic resonance phenomena, adjusting the noise intensity amplification factor D can also induce stochastic resonance, and D-intervals with better resonance effect does not change with variation of α or β; these conclusions provide a theoretical basis for reasonable selection of parameters in resonance of asymmetric tri-stable system under α-stable distributed noise.

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α-stable distributed noise / asymmetric tri-stable system / stochastic resonance / average signal-to-noise ratio improvement

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ZHANG Gang, XIE Pan, ZHANG Tianqi. Stochastic resonance characteristics analysis of an asymmetric tri-stable system under α-stable distributed noise[J]. Journal of Vibration and Shock, 2021, 40(3): 109-115

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