Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Stochastic resonance in an overdamped monostable system with multiplicative and additive α stable noise

Jiao Shang-Bin Ren Chao Li Peng-Hua Zhang Qing Xie Guo

Citation:

Stochastic resonance in an overdamped monostable system with multiplicative and additive α stable noise

Jiao Shang-Bin, Ren Chao, Li Peng-Hua, Zhang Qing, Xie Guo
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • In this paper we combine α stable noise with a monostable stochastic resonance (SR) system to investigate the overdamped monostable SR phenomenon with multiplicative and additive α stable noise, and explore the action laws of the stability index α (0 α ≤ 2) and skewness parameter β (-1 ≤ β ≤ 1) of the α stable noise, the monostable system parameter a, and the amplification factor D of the multiplicative α stable noise against the resonance output effect. Results show that for different distributions of α stable noise, the single or multiple low-and high-frequency weak signals detection can be realized by adjusting the parameter a or D within a certain range. For a or D, respectively, there is an optimal value which can make the system produce the best SR effect. Different α or β can regularly change the system resonance output effect. Moreover, when α or β is given different values, the evolution laws in the monostable SR system excited by low-and high-frequency weak signals are the same. The conclusions drawn for the study of single-and multi-frequency monostable SR with α stable noise are also the same. These results will be the foundation for realizing the adaptive parameter adjustment in the monostable SR system with α stable noise.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61304204), and the Natural Science Foundation of the Education Department of Shaanxi Province, China (Grant No. 2013JK1050).
    [1]

    Stocks N G, Stein N D, McClintock P V E 1993 J. Phys. A: Math. Gen. 26 L385

    [2]

    Vilar J M G, Rub J M 1996 Phys. Rev. Lett. 77 2863

    [3]

    vstigneev M, Reimann P, Pankov V, Prince R H 2004 Europhys. Lett. 65 7

    [4]

    Zhang W, Xiang B R 2006 Talanta 70 267

    [5]

    Guo F, Huang Z Q, Fan Y, Li S F, Zhang Y 2009 Chin. Phys. Lett. 26 100504

    [6]

    Zhou B C, Xu W 2009 Chaos, Solitons & Fractals 40 401

    [7]

    He C D, Xu W, Yue X L 2010 Acta Phys. Sin. 59 5276 (in Chinese)[何成娣, 徐伟, 岳晓乐2010 物理学报59 5276]

    [8]

    Zhou Y R 2011 Chin. Phys. B 20 010501

    [9]

    Li J M, Chen X F, He Z J 2011 Journal of Mechanical Engineering 47 58 (in Chinese) [李继猛, 陈雪峰, 何正嘉 2011 机械工程学报47 58]

    [10]

    Yao M L, Xu W, Ning L J 2012 Nonlinear Dyn. 67 329

    [11]

    Zhang X Y, Xu W, Zhou B C 2012 Acta Phys. Sin. 61 030501 (in Chinese)[张晓燕, 徐伟, 周丙常2012 物理学报 61 030501]

    [12]

    Kang Y M, Xu J X, Xie Y 2003 Acta Phys. Sin. 52 2712 (in Chinese)[康艳梅, 徐健学, 谢勇2003 物理学报52 2712]

    [13]

    Guo F 2009 Physica A 388 2315

    [14]

    Guo F, Luo X D, Li S F, Zhou Y R 2010 Chin. Phys. B 19 080504

    [15]

    Qiu T S, Zhang X X, Li X B, Sun Y M 2004 Statistical Signal Processing–Non-Gaussian Signal Processing and its Applications (Beijing: Publishing House of Electronics Industry) p140 (in Chinese) [邱天爽, 张旭秀, 李小兵, 孙永梅2004 统计信号处理–非高斯信号处理及其应用(北京: 电子工业出版社) 第140 页]

    [16]

    Dybiec B, Gudowska-Nowak E 2006 Acta Phys. Pol. B 37 1479

    [17]

    Zeng L Z, Bao R H, Xu B H 2007 J. Phys. A: Math. Theor. 40 7175

    [18]

    Zhang W Y, Wang Z L, Zhang W D 2009 Control Engineering of China 16 638 (in Chinese) [张文英, 王自力, 张卫东2009 控制工程16 638]

    [19]

    Zeng L Z, Xu B H 2010 Journal of physics A: Statistical Mechanics and its Applications 22 5128

    [20]

    Srokowski T 2012 Eur. Phys. J. B 85 1

    [21]

    Zhang G L, L X L, Kang Y M 2012 Acta Phys. Sin. 61 040501 (in Chinese)[张广丽, 吕希路, 康艳梅2012 物理学报61 040501]

    [22]

    Dybiec B 2009 Phys. Rev. E 80 041111

    [23]

    Hu N Q 2012 Stochastic Resonance Weak Characteristic Signal Detection Theory and Methods (Beijing: National Defense Industry Press) p60 (in Chinese) [胡茑庆2012 随机共振微弱特征信号检测理论与方法(北京: 国防工业出版社) 第60 页]

    [24]

    Jiao S B, Ren C, Huang W C, Liang Y M 2013 Acta Phys. Sin. 62 210501 (in Chinese)[焦尚彬, 任超, 黄伟超, 梁炎明2013 物理学报62 210501]

    [25]

    Tang Y, Zou W, Lu J Q, Kurths J 2012 Phys. Rev. E 85 1539

    [26]

    Liang Y J, Chen W 2013 Signal Processing 93 242

    [27]

    Agudov N V, Krichigin A V 2008 Radiophysics and Quantum Electronics 51 812

    [28]

    Weron R 1996 Statist. Prob. Lett. 28 165

    [29]

    Wan P, Zhan Y J, Li X C, Wang Y H 2011 Acta Phys. Sin. 60 040502 (in Chinese)[万频, 詹宜巨, 李学聪, 王永华2011 物理学报60 040502]

    [30]

    Leng Y G, Wang T Y 2003 Acta Phys. Sin. 52 2432 (in Chinese)[冷永刚, 王太勇2003 物理学报52 2432]

    [31]

    Leng Y G, Wang T Y, Qin X D, Li R X, Guo Y 2004 Acta Phys. Sin. 53 0717 (in Chinese)[冷永刚, 王太勇, 秦旭达, 李瑞欣, 郭焱2004 物理学报53 0717]

    [32]

    Leng Y G 2009 Acta Phys. Sin. 58 5196 (in Chinese)[冷永刚2009 物理学报58 5196]

    [33]

    Lin M, Huang Y M 2006 Acta Phys. Sin. 55 3277 (in Chinese)[林敏, 黄咏梅2006 物理学报55 3277]

    [34]

    Jiao S B, He T 2013 Computer Engineering and Applications (in Chinese) [焦尚彬, 何童2013 计算机工程与应用]

    [35]

    L Y, Wang C Y, Tian Y, Hou B 2010 China Academic Journal Electronic Publishing House 8 40 (in Chinese)[吕运, 王长悦, 田野, 侯彪2010 机械与电子8 40]

  • [1]

    Stocks N G, Stein N D, McClintock P V E 1993 J. Phys. A: Math. Gen. 26 L385

    [2]

    Vilar J M G, Rub J M 1996 Phys. Rev. Lett. 77 2863

    [3]

    vstigneev M, Reimann P, Pankov V, Prince R H 2004 Europhys. Lett. 65 7

    [4]

    Zhang W, Xiang B R 2006 Talanta 70 267

    [5]

    Guo F, Huang Z Q, Fan Y, Li S F, Zhang Y 2009 Chin. Phys. Lett. 26 100504

    [6]

    Zhou B C, Xu W 2009 Chaos, Solitons & Fractals 40 401

    [7]

    He C D, Xu W, Yue X L 2010 Acta Phys. Sin. 59 5276 (in Chinese)[何成娣, 徐伟, 岳晓乐2010 物理学报59 5276]

    [8]

    Zhou Y R 2011 Chin. Phys. B 20 010501

    [9]

    Li J M, Chen X F, He Z J 2011 Journal of Mechanical Engineering 47 58 (in Chinese) [李继猛, 陈雪峰, 何正嘉 2011 机械工程学报47 58]

    [10]

    Yao M L, Xu W, Ning L J 2012 Nonlinear Dyn. 67 329

    [11]

    Zhang X Y, Xu W, Zhou B C 2012 Acta Phys. Sin. 61 030501 (in Chinese)[张晓燕, 徐伟, 周丙常2012 物理学报 61 030501]

    [12]

    Kang Y M, Xu J X, Xie Y 2003 Acta Phys. Sin. 52 2712 (in Chinese)[康艳梅, 徐健学, 谢勇2003 物理学报52 2712]

    [13]

    Guo F 2009 Physica A 388 2315

    [14]

    Guo F, Luo X D, Li S F, Zhou Y R 2010 Chin. Phys. B 19 080504

    [15]

    Qiu T S, Zhang X X, Li X B, Sun Y M 2004 Statistical Signal Processing–Non-Gaussian Signal Processing and its Applications (Beijing: Publishing House of Electronics Industry) p140 (in Chinese) [邱天爽, 张旭秀, 李小兵, 孙永梅2004 统计信号处理–非高斯信号处理及其应用(北京: 电子工业出版社) 第140 页]

    [16]

    Dybiec B, Gudowska-Nowak E 2006 Acta Phys. Pol. B 37 1479

    [17]

    Zeng L Z, Bao R H, Xu B H 2007 J. Phys. A: Math. Theor. 40 7175

    [18]

    Zhang W Y, Wang Z L, Zhang W D 2009 Control Engineering of China 16 638 (in Chinese) [张文英, 王自力, 张卫东2009 控制工程16 638]

    [19]

    Zeng L Z, Xu B H 2010 Journal of physics A: Statistical Mechanics and its Applications 22 5128

    [20]

    Srokowski T 2012 Eur. Phys. J. B 85 1

    [21]

    Zhang G L, L X L, Kang Y M 2012 Acta Phys. Sin. 61 040501 (in Chinese)[张广丽, 吕希路, 康艳梅2012 物理学报61 040501]

    [22]

    Dybiec B 2009 Phys. Rev. E 80 041111

    [23]

    Hu N Q 2012 Stochastic Resonance Weak Characteristic Signal Detection Theory and Methods (Beijing: National Defense Industry Press) p60 (in Chinese) [胡茑庆2012 随机共振微弱特征信号检测理论与方法(北京: 国防工业出版社) 第60 页]

    [24]

    Jiao S B, Ren C, Huang W C, Liang Y M 2013 Acta Phys. Sin. 62 210501 (in Chinese)[焦尚彬, 任超, 黄伟超, 梁炎明2013 物理学报62 210501]

    [25]

    Tang Y, Zou W, Lu J Q, Kurths J 2012 Phys. Rev. E 85 1539

    [26]

    Liang Y J, Chen W 2013 Signal Processing 93 242

    [27]

    Agudov N V, Krichigin A V 2008 Radiophysics and Quantum Electronics 51 812

    [28]

    Weron R 1996 Statist. Prob. Lett. 28 165

    [29]

    Wan P, Zhan Y J, Li X C, Wang Y H 2011 Acta Phys. Sin. 60 040502 (in Chinese)[万频, 詹宜巨, 李学聪, 王永华2011 物理学报60 040502]

    [30]

    Leng Y G, Wang T Y 2003 Acta Phys. Sin. 52 2432 (in Chinese)[冷永刚, 王太勇2003 物理学报52 2432]

    [31]

    Leng Y G, Wang T Y, Qin X D, Li R X, Guo Y 2004 Acta Phys. Sin. 53 0717 (in Chinese)[冷永刚, 王太勇, 秦旭达, 李瑞欣, 郭焱2004 物理学报53 0717]

    [32]

    Leng Y G 2009 Acta Phys. Sin. 58 5196 (in Chinese)[冷永刚2009 物理学报58 5196]

    [33]

    Lin M, Huang Y M 2006 Acta Phys. Sin. 55 3277 (in Chinese)[林敏, 黄咏梅2006 物理学报55 3277]

    [34]

    Jiao S B, He T 2013 Computer Engineering and Applications (in Chinese) [焦尚彬, 何童2013 计算机工程与应用]

    [35]

    L Y, Wang C Y, Tian Y, Hou B 2010 China Academic Journal Electronic Publishing House 8 40 (in Chinese)[吕运, 王长悦, 田野, 侯彪2010 机械与电子8 40]

  • [1] Huang Ze-Hui, Li Ya-An, Chen Zhe, Liu Lian. Threshold determination method of Duffing chaotic system based on multi-scale entropy. Acta Physica Sinica, 2020, 69(16): 160501. doi: 10.7498/aps.69.20191642
    [2] Jia Mei-Mei, Jiang Hao-Gang, Li Wen-Jing. Generation and application of novel Chua multi-scroll chaotic attractors. Acta Physica Sinica, 2019, 68(13): 130503. doi: 10.7498/aps.68.20182183
    [3] Jiao Shang-Bin, Sun Di, Liu Ding, Xie Guo, Wu Ya-Li, Zhang Qing. Vibrational resonance in a periodic potential system with stable noise. Acta Physica Sinica, 2017, 66(10): 100501. doi: 10.7498/aps.66.100501
    [4] Liu Jian-Ming, Yang Xia, Gao Yue-Long, Liu Fu-Cai. Application of similar Liu system in underwater weak signal detection. Acta Physica Sinica, 2016, 65(7): 070501. doi: 10.7498/aps.65.070501
    [5] Zeng Zhe-Zhao, Zhou Yong, Hu Kai. Study on partial discharge signals detection by extended Duffing oscillator. Acta Physica Sinica, 2015, 64(7): 070505. doi: 10.7498/aps.64.070505
    [6] Xing Hong-Yan, Zhang Qiang, Xu Wei. Hybrid algorithm for weak signal detection in chaotic sea clutter. Acta Physica Sinica, 2015, 64(4): 040506. doi: 10.7498/aps.64.040506
    [7] Zhang Gang, Hu Tao, Zhang Tian-Qi. Characteristic analysis of power function type monostable stochastic resonance with Levy noise. Acta Physica Sinica, 2015, 64(22): 220502. doi: 10.7498/aps.64.220502
    [8] Jiao Shang-Bin, Yang Rong, Zhang Qing, Xie Guo. Stochastic resonance of asymmetric bistable system with α stable noise. Acta Physica Sinica, 2015, 64(2): 020502. doi: 10.7498/aps.64.020502
    [9] Fan Jian, Zhao Wen-Li, Zhang Ming-Lu, Tan Run-Hua, Wang Wan-Qiang. Nonlinear dynamics of stochastic resonance and its application in the method of weak signal detection. Acta Physica Sinica, 2014, 63(11): 110506. doi: 10.7498/aps.63.110506
    [10] Wu Yong-Feng, Huang Shao-Ping, Jin Guo-Bin. Study on partial discharge signal detection by coupled Duffing oscillators. Acta Physica Sinica, 2013, 62(13): 130505. doi: 10.7498/aps.62.130505
    [11] Fan Jian, Zhao Wen-Li, Wang Wan-Qiang. Study on the weak sinusoidal signal detection property using Duffing chaos system. Acta Physica Sinica, 2013, 62(18): 180502. doi: 10.7498/aps.62.180502
    [12] Jiao Shang-Bin, Ren Chao, Huang Wei-Chao, Liang Yan-Ming. Parameter-induced stochastic resonance in multi-frequency weak signal detection with stable noise. Acta Physica Sinica, 2013, 62(21): 210501. doi: 10.7498/aps.62.210501
    [13] Wang Lin-Ze, Zhao Wen-Li, Chen Xuan. Theory and experiment research on a Piecewise-linear model based on stochastic resonance. Acta Physica Sinica, 2012, 61(16): 160501. doi: 10.7498/aps.61.160501
    [14] Xing HongYan, Qi ZhengDong, Xu Wei. Weak signal estimation in chaotic clutter using selective support vector machine ensemble. Acta Physica Sinica, 2012, 61(24): 240504. doi: 10.7498/aps.61.240504
    [15] Wu Yong-Feng, Zhang Shi-Ping, Sun Jin-Wei, Peter Rolfe. Abrupt change of synchronization of ring coupled Duffing oscillator. Acta Physica Sinica, 2011, 60(2): 020511. doi: 10.7498/aps.60.020511
    [16] Wu Yong-Feng, Zhang Shi-Ping, Sun Jin-Wei, Peter Rolfe, Li Zhi. Transient synchronization mutation of ring coupled Duffing oscillators driven by pulse signal. Acta Physica Sinica, 2011, 60(10): 100509. doi: 10.7498/aps.60.100509
    [17] Wan Pin, Zhan Yi-Ju, Li Xue-Cong, Wang Yong-Hua. Numerical research of signal-to-noise ratio gain on a monostable stochastic resonance. Acta Physica Sinica, 2011, 60(4): 040502. doi: 10.7498/aps.60.040502
    [18] Xing Hong-Yan, Jin Tian-Li. Weak signal estimation in chaotic clutter using wavelet analysis and symmetric LS-SVM regression. Acta Physica Sinica, 2010, 59(1): 140-146. doi: 10.7498/aps.59.140
    [19] Zhu Guang-Qi, Ding Ke, Zhang Yu, Zhao Yuan. Experimental research of weak signal detection based on the stochastic resonance of nonlinear system. Acta Physica Sinica, 2010, 59(5): 3001-3006. doi: 10.7498/aps.59.3001
    [20] Lin Min, Huang Yong-Mei. Modulation and demodulation for detecting weak periodic signal of stochastic resonance. Acta Physica Sinica, 2006, 55(7): 3277-3282. doi: 10.7498/aps.55.3277
Metrics
  • Abstract views:  5105
  • PDF Downloads:  581
  • Cited By: 0
Publishing process
  • Received Date:  22 November 2013
  • Accepted Date:  25 December 2013
  • Published Online:  05 April 2014

/

返回文章
返回