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Stochastic Multi-Resonance in a Linear System Driven by Multiplicative Polynomial Dichotomous Noise |
| ZHANG Lu, ZHONG Su-Chuan, PENG Hao, LUO Mao-Kang**
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College of Mathematics, Sichuan University, Chengdu 610065
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| Cite this article: |
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ZHANG Lu, ZHONG Su-Chuan, PENG Hao et al 2011 Chin. Phys. Lett. 28 090505 |
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Abstract 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 observed in conventional linear systems driven by multiplicative noise with only a linear term.
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| Keywords:
05.40.-a
05.60.Cd
05.70.Ln
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Received: 14 June 2011
Published: 30 August 2011
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| PACS: |
05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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05.60.Cd
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(Classical transport)
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05.70.Ln
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(Nonequilibrium and irreversible thermodynamics)
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