Effects of potential functions on stochastic resonance

doi:10.1088/1674-1056/20/1/010503

中国物理B ›› 2011, Vol. 20 ›› Issue (1): 10503-010503.doi: 10.1088/1674-1056/20/1/010503

Effects of potential functions on stochastic resonance

李建龙¹, 曾令藻²

(1)Department of Information Science and Electronic Engineering, Zhejiang University and Zhejiang Provincial Key Laboratory of Information Network Technology, Hangzhou 310027, China; (2)Institute of Soil and Water Resources and Environmental Science, Zhejiang University and Zhejiang Provincial Key Laboratory of Subtropical Soil and Plant Nutrition, Hangzhou 310029, China

收稿日期:2010-07-19 修回日期:2010-08-14 出版日期:2011-01-15 发布日期:2011-01-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 60702022).

Effects of potential functions on stochastic resonance

Li Jian-Long(李建龙)^a) and Zeng Ling-Zao(曾令藻)^b)†

^a Department of Information Science and Electronic Engineering, Zhejiang University and Zhejiang Provincial Key Laboratory of Information Network Technology, Hangzhou 310027, China; ^b Institute of Soil and Water Resources and Environmental Science, Zhejiang University and Zhejiang Provincial Key Laboratory of Subtropical Soil and Plant Nutrition, Hangzhou 310029, China

Received:2010-07-19 Revised:2010-08-14 Online:2011-01-15 Published:2011-01-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 60702022).

摘要/Abstract

摘要： In this paper, the effects of a bistable potential function U(x)=-ax²/2+b|x|^2γ/(2γ) on stochastic resonance (SR) is discussed. We investigate the effects of index γ on the performance of the SR system with fixed parameters a and b, and with fixed potential barriers, respectively. To measure the performance of the SR system in the presence of an aperiodic input, the bit error rate is employed, as is commonly used in binary communications. The numerical simulations strongly support the theoretical results. The goal of this investigation is to explore the effects of the shape of potential functions on SR and give a guidance of nonlinear systems in the application of information processing.

关键词: stochastic resonance, potential function, aperiodic signal

Abstract: In this paper, the effects of a bistable potential function $U(x)=-ax^2/2+b|x|^{2\gamma }/{(2\gamma)}$ on stochastic resonance (SR) is discussed. We investigate the effects of index $\gamma$ on the performance of the SR system with fixed parameters a and b, and with fixed potential barriers, respectively. To measure the performance of the SR system in the presence of an aperiodic input, the bit error rate is employed, as is commonly used in binary communications. The numerical simulations strongly support the theoretical results. The goal of this investigation is to explore the effects of the shape of potential functions on SR and give a guidance of nonlinear systems in the application of information processing.

Key words: stochastic resonance, potential function, aperiodic signal

中图分类号: (Nonlinear dynamics and chaos)

05.45.-a

05.40.Ca (Noise) 02.50.-r (Probability theory, stochastic processes, and statistics)

李建龙, 曾令藻. Effects of potential functions on stochastic resonance[J]. 中国物理B, 2011, 20(1): 10503-010503.

Li Jian-Long(李建龙) and Zeng Ling-Zao(曾令藻). Effects of potential functions on stochastic resonance[J]. Chin. Phys. B, 2011, 20(1): 10503-010503.

参考文献 18

[1]	Benzi R, Parisi G, Sutera A and Vulpiani A 1982 Tellus 34 10
[2]	Nicolis C and Nicolis G 1982 Tellus 34 22
[3]	Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A: Math. Gen. 14 L453
[4]	Benzi R 2009 J. Stat. Mech. 2009 p01052
[5]	Gammaitoni L, H"anggi P, Jung P and Marchesoni F 2009 Eur. Phys. J. B 69 1
[6]	Gammaitoni L, H"anggi P, Jung P and Marchesoni F 1998 Rev. Mod. Phys. 70 223
[7]	Borromeo M and Marchesoni F 2010 Phys. Rev. E 81 012102
[8]	Cao L and Wu D J 2006 Physica A 376 191
[9]	Guo Y F, Xu Wei and Wang L 2010 Chin. Phys. B 19 040503
[10]	Borromeo M and Marchesoni F 2009 Eur. Phys. J. B 69 23
[11]	Sun S F and Lei B J 2008 Signal Processing 88 2085
[12]	Zhu G Q, Ding K, Zhang Y and Zhao Y 2010 Acta Phys. Sin. 59 3001 (in Chinese)
[13]	Leng Y G, Wang T Y, Guo Y and Wu Z Y 2007 Acta Phys. Sin. 56 30 (in Chinese)
[14]	Jia Y, Yu S N and Li J R 2000 Phys. Rev. E 62 1869
[15]	Li J L 2009 Chin. Phys. B 18 5196
[16]	Li J L 2007 Chin. Phys. 16 340
[17]	Li J L Bao R H and Xu B H 2003 Physica A 323 249
[18]	Hu G, Gong D C, Qin G R, Weng X D and Yang C Y 1991 Commun. Theor. Phys. 16 149 endfootnotesize

Effects of potential functions on stochastic resonance

Effects of potential functions on stochastic resonance

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