Chin. Phys. Lett.  2009, Vol. 26 Issue (10): 100504    DOI: 10.1088/0256-307X/26/10/100504
GENERAL |
Stochastic Resonance in a Time-Delayed Mono-Stable System with Multiplicative and Additive Noise
GUO Feng1, HUANG Zhi-Qi2, FAN Yong3, LI Shao-Fu1, ZHANG Yu4
1School of Information Engineering, Southwest University of Science and Technology, Mianyang 6210102School of Automation Engineering, University of Electronic Science and Technology, Chengdu 6100543School of Computer Science and Technology, Southwest University of Science and Technology, Mianyang 6210104College of Economics and Management, Southwest University of Science and Technology, Mianyang 621010
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GUO Feng, HUANG Zhi-Qi, FAN Yong et al  2009 Chin. Phys. Lett. 26 100504
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Abstract The stochastic resonance (SR) in a time-delayed mono-stable system driven by multiplicative white noise, additive white noise, additive dichotomous noise as well as a periodic square-wave signal is considered from the view of the signal-to-noise ratio (SNR). It is found that the SNR increases monotonically with the increase of the delay time. The SNR exhibits the SR behavior when it is plotted as a function of intensities of the noises, displaying the asymmetry of the dichotomous noise. The SNR varies non-monotonically with the increase of the system parameter and the amplitude of the input square-wave signal.
Keywords: 05.40.-a      02.50.-r     
Received: 19 May 2009      Published: 27 September 2009
PACS:  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  02.50.-r (Probability theory, stochastic processes, and statistics)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/26/10/100504       OR      https://cpl.iphy.ac.cn/Y2009/V26/I10/100504
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GUO Feng
HUANG Zhi-Qi
FAN Yong
LI Shao-Fu
ZHANG Yu
[1] Guillouzic S, Heureux I L and Longtin A 1999 Phys.Rev. E 59 3970
[2] Frank T D 2005 Phys. Rev. E 71 031106
[3] Wu D and Zhu S Q 2006 Phys. Rev. E 73 051107
[4] Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A:Math. Gen. 14 L453
[5] Li J H 2007 Phys. Rev. E 76 021113
[6] Li J H 2008 Europhys. Lett. 82 50006
[7] Li J H 2009 Commun. Theor. Phys. 51 265
[8] Dykman M I, Luchinsky D G, Mannella R, McClintock P V E,Stein N D and Stockset N G 1995 Nuovo Cimento D 17 661
[9] Evstigneev M, Reimann P, Pankov V and Princeet R H 2004 Europhys. Lett. 65 7
[10] Stocks N G, Stein N D, Soskin S M and McClintock P V E1992 J. Phys.A: Math. Gen. 25 L1119
[11] Stocks N G, Stein N D, McClintock P V E and McClintock PV E 1993 J. Phys. A: Math. Gen. 26 L385
[12] Vilar J M G and Rubi J M 1996 Phys. Rev. Lett. 77 2863
[13] Li J H and Han Y X 2006 Phys. Rev. E 74051115
[14] Wu D and Zhu S Q 2007 Phys. Lett. A 363 202
[15] McNamara B and Wiesenfeld K 1989 Phys. Rev. A 39 4854
[16] Ginzburg S L and Pustovoit M A 2002 Phys. Rev. E 66 021107
[17] Zheng W M 1999 Phys. Rev. A 44 6443
[18] Li J H 2002 Phys. Rev. E 66 031104
[19] Li J H 2009 Commun. Theor. Phys. 51 675
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