Abstract
In this paper, the tristable stochastic resonance (SR) phenomenon induced by $$\alpha $$ -stable noise is analysed. The mechanism for realizing resonance is explored based on research concerning the potential function and resonant output of a system. The rules for resonance system parameters q, p, skewness parameter r and intensity amplification factor Q of $$\alpha $$ -stable noise to act on the resonant output are explored under different values of stability index $$\alpha $$ and asymmetric skewness $$\beta $$ of $$\alpha $$ -stable noise. The results will contribute to a reasonable selection of parameter-induced tristable SR system parameters under $$\alpha $$ -stable noise, and lay the foundation for a practical engineering application of weak signal detection based on the SR.
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