Effect of inertia mass on the stochastic resonance driven by a multiplicative dichotomous noise

doi:10.1088/1674-1056/21/5/050503

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50503-050503.doi: 10.1088/1674-1056/21/5/050503

Effect of inertia mass on the stochastic resonance driven by a multiplicative dichotomous noise

李鹏,聂林如,黄奇瑞,孙兴修

Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China

收稿日期:2011-09-09 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10847139) and the Yunnan Provincial Foundation, China (Grant Nos. 2009CD036 and 08Z0015).

Effect of inertia mass on the stochastic resonance driven by a multiplicative dichotomous noise

Li Peng(李鹏), Nie Lin-Ru(聂林如)^†, Huang Qi-Rui(黄奇瑞), and Sun Xing-Xiu(孙兴修)

Faculty of Science, Kunming University of Science and Technology, Kunming 650093, China

Received:2011-09-09 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10847139) and the Yunnan Provincial Foundation, China (Grant Nos. 2009CD036 and 08Z0015).

摘要/Abstract

摘要： A stochastic system driven by dichotomous noise and periodic signal is investigated in the under-damped case. The exact expressions of output signal amplitude and signal-to-noise ratio (SNR) of the system are derived. Numerical results indicate that the inertial mass greatly affects the output signal amplitude and the SNR. Regardless of whether the noise is symmetric or asymmetric, the inertial mass can influence the phenomenon of stochastic resonance (SR) of the system, leading to two types of resonance phenomenon:one is coherence-resonance-like of the SNR with inertial mass, the other is the SR of the SNR with noise intensity.

关键词: dichotomous noise, inertial mass, output signal amplitude, signal-to-noise ratio

Abstract: A stochastic system driven by dichotomous noise and periodic signal is investigated in the under-damped case. The exact expressions of output signal amplitude and signal-to-noise ratio (SNR) of the system are derived. Numerical results indicate that the inertial mass greatly affects the output signal amplitude and the SNR. Regardless of whether the noise is symmetric or asymmetric, the inertial mass can influence the phenomenon of stochastic resonance (SR) of the system, leading to two types of resonance phenomenon:one is coherence-resonance-like of the SNR with inertial mass, the other is the SR of the SNR with noise intensity.

Key words: dichotomous noise, inertial mass, output signal amplitude, signal-to-noise ratio

中图分类号: (Noise)

05.40.Ca

02.50.Ey (Stochastic processes)

李鹏,聂林如,黄奇瑞,孙兴修. Effect of inertia mass on the stochastic resonance driven by a multiplicative dichotomous noise[J]. 中国物理B, 2012, 21(5): 50503-050503.

Li Peng(李鹏), Nie Lin-Ru(聂林如), Huang Qi-Rui(黄奇瑞), and Sun Xing-Xiu(孙兴修) . Effect of inertia mass on the stochastic resonance driven by a multiplicative dichotomous noise[J]. Chin. Phys. B, 2012, 21(5): 50503-050503.

参考文献 32

[1]	Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A 14 L453
[2]	Benzi R, Parisi G, Sutera A and Vulpiani A 1982 Tellus 34 10
[3]	Xu W, Jin Y F, Li W and Ma S J 2005 Chin. Phys. 14 1077
[4]	Ogata H 1983 Phys. Rev. A 28 2296
[5]	Freund J A, Schimansky-Geier L, Beisner B, Neiman A, Russell D F, Yakusheva T and Moss F 2002 J. theor. Biol. 214 71
[6]	Valenti D, Fiasconaro A and Spagnolo B 2004 Phys. Rev. A 331 477
[7]	Joshi A and Xiao M 2006 Phys. Rev. A 74 013817
[8]	Huelga S F and Plenio M B 2007 Phys. Rev. Lett. 98 170601
[9]	Zhong W R, Shao Y Z and He Z H 2006 Phys. Rev. E 73 060902
[10]	Mei D C, Du L C and Wang C J 2009 J. Stat. Phys. 137 625
[11]	Yndestad H and Stene A 2002 ICES J. Mar. Sci. 59 1155
[12]	Li J H and Han Y X 2006 Phys. Rev. E 74 051115
[13]	Burada P S, Schmid G, Reguera D, Vainstein M H, Rubi J M and Hanggi P 2008 Phys. Rev. Lett. 101 130602
[14]	Sun S F and Lei B J 2008 IET Signal Process. 88 2085
[15]	Gandhimathi V M, Rajasekar S and Kurths J 2006 Phys. Rev. A 360 279
[16]	Li P, Nie L R, Lü X M and Zhang Q B 2011 Chin. Phys. B 20 100502
[17]	Ning L J and Xu W 2009 Acta Phys. Sin. 58 2889 (in Chinese)
[18]	Berdichevsky V and Gitterman M 2009 Europhys. Lett. 36 161
[19]	Gitterman M and Klyatskin V I 2010 Phys. Rev. E 81 051139
[20]	Guo F, Luo X D, Li S F and Zhou Y R 2010 Chin. Phys. B 19 080502
[21]	Bid A, Ofek N, Heiblum M, Umansky V and Mahalu D 2009 Phys. Rev. Lett. 103 236802
[22]	Barzykin A V, Seki K, and Shibata F 1998 Phys. Rev. E 57 6555
[23]	Li J and Zhang Y P 2011 Acta Phys. Sin. 60 070513 (in Chinese)
[24]	Barzykin A V and Seki K 1997 Europhys. Lett. 40 117
[25]	Yadav A P S and Wandelt B D 2008 Phys. Rev. Lett. 100 181301
[26]	Bezak V 1998 Czech. J. Phys. 48 529
[27]	Lin M and Zhang M L 2011 Acta Phys. Sin. 60 020501 (in Chinese)
[28]	Chen L H and Rao C H 2011 Acta Phys. Sin. 60 090701 (in Chinese)
[29]	Li J H and Han Y X 2007 Commun. Theor. Phys. 48 605
[30]	Shapiro V E and Loginov V M 1978 Physica A 91 563
[31]	Li J H, Cao L, Wu D J and Xu S S 1994 Phys. Rev. E 50 1862
[32]	Gitterman M 2003 Phys. Rev. E 67 057103

Effect of inertia mass on the stochastic resonance driven by a multiplicative dichotomous noise

Effect of inertia mass on the stochastic resonance driven by a multiplicative dichotomous noise

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 32

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Xue-Lu Liu(刘雪璐), Yu-Chen Leng(冷宇辰), Miao-Ling Lin(林妙玲), Xin Cong(从鑫), and Ping-Heng Tan(谭平恒). Signal-to-noise ratio of Raman signal measured by multichannel detectors[J]. 中国物理B, 2021, 30(9): 97807-097807.
[2]	Ke Wang(王珂), Xiaopeng Yan(闫晓鹏), Ze Li(李泽), Xinhong Hao(郝新红), and Honghai Yu(于洪海). Blind parameter estimation of pseudo-random binary code-linear frequency modulation signal based on Duffing oscillator at low SNR[J]. 中国物理B, 2021, 30(5): 50708-050708.
[3]	周永辉, 许雪梅, 尹林子, 丁一鹏, 丁家峰, 孙克辉. Novel Woods-Saxon stochastic resonance system for weak signal detection[J]. 中国物理B, 2020, 29(4): 40503-040503.
[4]	Wali Faiz, 李冀, 高昆, 吴朝, 雷耀虎, 黄建衡, 朱佩平. Noise properties of multi-combination information in x-ray grating-based phase-contrast imaging[J]. 中国物理B, 2020, 29(1): 14301-014301.
[5]	杨康, 王佳磊, 孔祥燕, 杨瑞虎, 陈桦. Optimization of pick-up coils for weakly damped SQUID gradiometers[J]. 中国物理B, 2018, 27(5): 50701-050701.
[6]	李泉泉, 许雪梅, 尹林子, 丁一鹏, 丁家峰, 孙克辉. Implication of two-coupled tri-stable stochastic resonance in weak signal detection[J]. 中国物理B, 2018, 27(3): 34203-034203.
[7]	鲍园, 高昆, 吴朝, 卫晨希, 昝贵彬, 朱佩平, 田扬超. Noise analysis of grating-based x-ray differential phase-contrast imaging with angular signal radiography[J]. 中国物理B, 2017, 26(4): 40602-040602.
[8]	朱佩平, 胡仁芳, 高昆, 吴朝, 鲍园, 田扬超. Signal-to-noise ratio comparison of angular signal radiography and phase stepping method[J]. 中国物理B, 2017, 26(12): 120601-120601.
[9]	王文浩, 刘文良, 武寄洲, 李玉清, 王晓锋, 刘艳艳, 马杰, 肖连团, 贾锁堂. Enhancement of signal-to-noise ratio of ultracold polar NaCs molecular spectra by phase locking detection[J]. 中国物理B, 2017, 26(12): 123701-123701.
[10]	靳艳飞. Moment stability for a predator-prey model with parametric dichotomous noises[J]. 中国物理B, 2015, 24(6): 60502-060502.
[11]	林丽烽, 田艳, 马洪. Stochastic resonance in an over-damped linear oscillator[J]. , 2014, 23(8): 80503-080503.
[12]	刘明, 张海涛, 巩马理, 赵跃进, 程文雍, 孟阔, 郑超, 陈倚竹. Theory of noise in a kilo-Hz cascaded high-energy Yb-doped nanosecond pulsed fiber amplifier[J]. 中国物理B, 2014, 23(4): 44214-044214.
[13]	郝蕴琦, 叶青, 潘政清, 蔡海文, 瞿荣辉. Digital coherent detection research on Brillouin optical time domain reflectometry with simplex pulse codes[J]. , 2014, 23(11): 110703-110703.
[14]	王康康, 刘先斌. Stochastic resonance for a metapopulation system driven by multiplicative and additive colored noises[J]. Chin. Phys. B, 2014, 23(1): 10502-010502.
[15]	刘岩, 于波, 何博, 张国峰, 肖连团, 贾锁堂. Single-photon modulation spectrum[J]. 中国物理B, 2014, 23(1): 10101-010101.