Stochastic resonance in an over-damped linear oscillator driven by multiplicative quadratic noise | Zendy

Zhang Lu | Zendy; Zhong Su-Chuan | Zendy; Hao Peng | Zendy; Maokang Luo | Zendy

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Stochastic resonance in an over-damped linear oscillator driven by multiplicative quadratic noise

Author(s) -

Zhang Lu,

Zhong Su-Chuan,

Hao Peng,

Maokang Luo

Publication year - 2012

Publication title -

acta physica sinica

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.

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