Stochastic Multi-Resonance in a Linear System Driven by Multiplicative Polynomial Dichotomous Noise

We investigate stochastic resonance in a linear system subjected to multiplicative noise that is a polynomial function of colored noise. Using the stochastic averaging method, the analytical expression of the output signal-to-noise ratio (SNR) is derived. Theoretical analysis and numerical results s...

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Bibliographic Details
Published inChinese physics letters Vol. 28; no. 9; pp. 090505 - 1-090505-4
Main Authors Zhang, Lu (路张), Zhong, Su-Chuan (苏川 钟), Peng, Hao (皓彭), Luo, Mao-Kang (懋康 罗)
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.09.2011
Subjects
Exact solutions
Linear systems
Mathematical analysis
Mathematical models
Noise
Polynomials
Signal to noise ratio
Stochasticity
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Summary:We investigate stochastic resonance in a linear system subjected to multiplicative noise that is a polynomial function of colored noise. Using the stochastic averaging method, the analytical expression of the output signal-to-noise ratio (SNR) is derived. Theoretical analysis and numerical results show that the output SNR is a non-monotonic function of both the noise intensity and the correlation rate. Moreover, the phenomoenon of stochastic multi-resonance (SMR) is found, which is not observe in conventional linear systems driven by multiplicative noise with only a linear term.
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ISSN:0256-307X
1741-3540
DOI:10.1088/0256-307X/28/9/090505