Chin. Phys. Lett.  2010, Vol. 27 Issue (10): 100502    DOI: 10.1088/0256-307X/27/10/100502
GENERAL |
A Demonstration of Equivalence between Parameter-Induced and Noise-Induced Stochastic Resonances with Multiplicative and Additive Noises
LI Jian-Long1, ZENG Ling-Zao2, ZHANG Hui-Quan1
1Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027
2Institute of Soil and Water Resources and Environmental Science, Zhejiang University, Hangzhou 310029
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LI Jian-Long, ZENG Ling-Zao, ZHANG Hui-Quan 2010 Chin. Phys. Lett. 27 100502
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Abstract A typical bistable nonlinear system with multiplicative and additive noises can produce stochastic resonance (SR) by increasing the intensity of the additive noise or the multiplicative noise and it has been proved that SR can also be realized by tuning system parameters. We clearly demonstrate the equivalence between parameter-induced SR (PSR) and noise-induced SR in the presence of multiplicative and additive noises. By tuning several system parameters with fixed noise intensities, the SR is induced just as it is realized by tuning the additive noise or the multiplicative noise. It may be interesting to realize PSR when the noise intensity exceeds the resonance level, or when the characteristic of the noise is unknown.
Keywords: 05.40.-a      05.40.Ca      02.50.-r     
Received: 14 July 2010      Published: 26 September 2010
PACS:  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  05.40.Ca (Noise)  
  02.50.-r (Probability theory, stochastic processes, and statistics)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/27/10/100502       OR      https://cpl.iphy.ac.cn/Y2010/V27/I10/100502
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LI Jian-Long
ZENG Ling-Zao
ZHANG Hui-Quan
[1] Yasuda H et al 2008 Phys. Rev. Lett. 100 118103
[2] Perc M 2008 Phys. Rev. E 78 036105
[3] Chen H et al 2007 IEEE Trans. Signal Process. 55 3172
[4] Duan F B et al 2008 Phys. Lett. A 372 2159
[5] Sun S F and Lei B J 2008 Signal Processing 88 2085
[6] Parmananda P et al 2005 Phys. Rev. E 71 031110
[7] Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A 14 L453
[8] Berdichevsky V and Gitterman M 1996 Europhys. Lett 36 161
[9] Xu B H, Li J L and Zheng J Y 2004 Physica A 343 156
[10] Wang J Y et al 2006 Chin. Phys. Lett. 23 1398
[11] Li J L 2007 Chin. Phys. 16 340
[12] Leng Y G 2009 Acta Phys. Sin. 58 5196 (in Chinese)
[13] Lin M, Fang L M and Zheng Y J 2009 Chin. Phys. B 18 1725
[14] Guo F et al 2009 Chin. Phys. Lett. 26 100504
[15] Zhang G J, Xu J X, Wang J, Yue Z F and Zou H L 2009 Chaos, Solitons and Fractals 42 2272
[16] Benzi R 2009 J. Stat. Mech. 2009 P01052
[17] Gammaitoni L, Hänggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys. 70 223
[18] Gammaitoni L, Hänggi P, Jung P and Marchesoni F 2009 Eur. Phys. J. B 69 1
[19] Risken H 1989 The Fokker-Planck Equation: Methods of Solutions and Applications 2nd edn (New York: Springer)
[20] Dormand J R and Prince P J 1980 J. Comput. Appl. Math. 6 19
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