|
|
|
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 |
|
|
|
|
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.
|
Received: 19 July 2010
Revised: 14 August 2010
Accepted manuscript online:
|
|
PACS:
|
05.45.-a
|
(Nonlinear dynamics and chaos)
|
| |
05.40.Ca
|
(Noise)
|
| |
02.50.-r
|
(Probability theory, stochastic processes, and statistics)
|
|
| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 60702022). |
Cite this article:
Li Jian-Long(李建龙) and Zeng Ling-Zao(曾令藻) Effects of potential functions on stochastic resonance 2011 Chin. Phys. B 20 010503
|
| [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
|
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
