Open AccessMean first-passage time and stochastic resonance in an asymmetric bistable system driven by non-Gaussian noise
Author(s) -
Jingjing Zhang,
Yanfei Jin
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.120501
Subject(s) - stochastic resonance , gaussian noise , multiplicative noise , noise (video) , bistability , monotonic function , additive white gaussian noise , first hitting time model , physics , multiplicative function , gaussian , intensity (physics) , white noise , statistical physics , function (biology) , noise spectral density , mathematics , mathematical analysis , statistics , noise figure , optics , quantum mechanics , computer science , algorithm , signal transfer function , telecommunications , cmos , artificial intelligence , analog signal , image (mathematics) , amplifier , biology , evolutionary biology , optoelectronics , transmission (telecommunications)
In this paper, mean first-passage time (MFPT) and stochastic resonance (SR) are investigated in an asymmetric bistable system driven by multiplicative non-Gaussian noise and additive Gaussian white noise. Using the path integral approach and two-state theory, the expression of MFPT and the signal-to-noise ratio (SNR) are derived. The results show that the influences of the asymmetric coefficient on the MFPTs in two opposite directions are entirely different. SNR is a non-monotonic function of the additive noise intensity and asymmetric coefficient, therefore, an SR is found in this system. Whereas SNR is a monotonic function of the multiplicative noise intensity and no SR appears. This demonstrates that the effect of the multiplicative noise intensity on SNR is different from that of the additive noise intensity in the system.