摘要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.
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.
ZHANG Lu;ZHONG Su-Chuan;PENG Hao;LUO Mao-Kang**
. Stochastic Multi-Resonance in a Linear System Driven by Multiplicative Polynomial Dichotomous Noise[J]. 中国物理快报, 2011, 28(9): 90505-090505.
ZHANG Lu, ZHONG Su-Chuan, PENG Hao, LUO Mao-Kang**
. Stochastic Multi-Resonance in a Linear System Driven by Multiplicative Polynomial Dichotomous Noise. Chin. Phys. Lett., 2011, 28(9): 90505-090505.
[1] Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A: Math Gen. 14 L453
[2] Zhang L Y et al 2003 Chin. Phys. Lett. 20 25
[3] Gitterman M 2003 Phys. Rev. E 67 057103
[4] Guo F, Zhou Y R, Jiang S Q and Gu T X 2006 J. Phys. A: Math. Gen. 39 13861
[5] Ya J, Si N Y and Jia R L 2000 Phys. Rev. E 62 1869
[6] Gitterman M 2005 Physica A 352 309
[7] Berdichevsky V and Gitterman M 1999 Phys. Rev. E 60 1494
[8] Jing H L and Yin X H 2006 Phys. Rev. E 74 051115
[9] Li D S, Li J H 2010 Commun. Theor. Phys. 53 298
[10] Gitterman M 2004 Phys. Rev. E 69 041101
[11] Katrin L, Romi M and Astrid R 2009 Phys. Rev. E 79 051128
[12] Vilar J M G and Rubi J M 1997 Phys. Rev. Lett. 78 2882
[13] Zhang J Q and Xin H W 2001 Chin. Phys. Lett. 18 870
[14] Wang J, Cao L and Wu D J 2003 Chin. Phys. Lett. 20 1217
[15] Torres J J et al 2011 New J. Phys. 13 053014
[16] Bao Q A and Liang G L 2007 J. Stat. Mech. P02019
[17] Sargent M et al 1974 Laser Physics (Reading, MA: Addison-Wesley)
[18] Stephen A M 2003 Nonlinear Microwave and RF Circuits (Norwood, MA: Artech House)
[19] Zhang L Y, Cao L and Wu D J 2008 Commun. Theor. Phys. 49 1310
[20] Ning L J, Xu W and Yao M L 2007 Chin. Phys. B 16 2595
[21] Shapiro V E and Loginov V M 1978 Physica A 91 563
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