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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Liu, Y., Liang, J., Jiao, SB. et al. The phenomenon of tristable stochastic resonance driven by \(\alpha \)-noise. Pramana - J Phys 89, 73 (2017). https://doi.org/10.1007/s12043-017-1471-3
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DOI: https://doi.org/10.1007/s12043-017-1471-3