Open AccessStochastic resonance in an over-damped linear oscillator driven by multiplicative quadratic noise
Author(s) -
Lu Zhang,
Shijie Zhong,
Hao Peng,
Maokang Luo
Publication year - 2012
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.61.130503
Subject(s) - multiplicative function , quadratic equation , noise (video) , multiplicative noise , stochastic resonance , amplitude , physics , steady state (chemistry) , linear system , control theory (sociology) , mathematical analysis , statistical physics , mathematics , computer science , quantum mechanics , telecommunications , chemistry , geometry , control (management) , signal transfer function , transmission (telecommunications) , artificial intelligence , analog signal , image (mathematics)
For an over-damped linear oscillator driven by multiplicative quadratic noise and periodic modulated noise, the exact analytical expressions of the first two moments, the amplitude and variance of the system steady-state response are obtained. We find that this system has richer dynamic behaviors than the traditional linear systems driven by linear noise; when the coefficients of the quadratic noise satisfy certain conditions, both the amplitude and the variance of the system steady-state response present stochastic resonance.