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Stochastic resonance of asymmetric bistable system with α stable noise

Jiao Shang-Bin Yang Rong Zhang Qing Xie Guo

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Stochastic resonance of asymmetric bistable system with α stable noise

Jiao Shang-Bin, Yang Rong, Zhang Qing, Xie Guo
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  • In this paper we take the asymmetric bistable system excited by weak periodic signal as a model and regard signal-to-noise ratio gain as an index to investigate the stochastic resonance phenomenon stimulated by additive and multiplicative α stable noise. Stochastic resonance phenomenon stimulated by only additive α stable noise is also investigated here. The laws for the resonance system parameters a, b, asymmetric skewness r and intensity amplification factor Q or D of α stable noise to act on the resonant output are explored under different stability index α and skewness parameter β of α stable noise. The results show that no matter whether under the joint action of additive and multiplicative α stable noise or under the action of only additive α stable noise, weak signal detection can be realized by tuning the system parameters a, b and r. The intervals of a, b and r which can induce stochastic resonances are multiple, and do not change with α nor β. Moreover, when investigating the noise-induced stochastic resonance, it is found that stochastic resonance can also be realized by tuning the intensity amplification factor of α stable noise. And the interval of D does not change with α nor β. The results will contribute to a reasonable selection of parameter-induced stochastic resonance system parameters and noise intensity of noise-induced stochastic resonance under α stable noise.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61304204), the Natural Science Foundation of Shaanxi Province, China (Grant No. 2014JM8315), and the Special National Natural Science Fundation of the Education Department of Shaanxi Province, China (Grant No. 2013JK1050).
    [1]

    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]

    [2]

    Zhu H J, Li R, Wen X D 2003 Acta Phys. Sin. 52 2405 (in Chinese) [祝恒江, 李蓉, 温孝东 2003 物理学报 52 2405]

    [3]

    Leng Y G, Wang T Y, Guo Y, Wang W J, Hu S G 2005 Acta Phys. Sin. 54 1118 (in Chinese) [冷永刚, 王太勇, 郭焱, 汪文津, 胡世广 2005 物理学报 54 1118]

    [4]

    Xiao F H, Yan G R, Han Y H 2004 Acta Phys. Sin. 53 396 (in Chinese) [肖方红, 闫桂荣, 韩雨航 2004 物理学报 53 396]

    [5]

    Jiang S Q, Hou M J, Jia C H, He J R, Gu T X 2009 Chin. Phys. B 18 2667

    [6]

    Li J L, Xu B H 2006 Chin. Phys. B 15 2867

    [7]

    Li J L 2009 Chin. Phys. B 18 5196

    [8]

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

    [9]

    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]

    [10]

    Zhang J J, Jin Y F 2011 Acta Phys. Sin. 60 120501 (in Chinese) [张静静, 靳艳飞 2011 物理学报 60 120501]

    [11]

    Li J H 2002 Phys. Rev. E 66 031104

    [12]

    Zhou B C, Xu W 2008 Acta Phys. Sin. 57 2035 (in Chinese) [周丙常, 徐伟 2008 物理学报 57 2035]

    [13]

    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]

    [14]

    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]

    [15]

    Jiao S B, Ren C, Li P H, Zhang Q, Xie G 2013 Acta Phys. Sin. 63 070501 (in Chinese) [焦尚彬, 任超, 李鹏华, 张青, 谢国 2013 物理学报 63 070501]

    [16]

    Leng Y G, Wang T Y, Guo Y, Wu Z Y 2007 Acta Phys. Sin. 56 30 (in Chinese) [冷永刚, 王太勇, 郭焱, 吴振勇 2007 物理学报 56 30]

    [17]

    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]

    [18]

    Jin Y F, Xu W, Xu M 2005 Chaos, Soliton. Fract. 26 1183

    [19]

    Leccardi M 2005 ENOC'O5 (Fifth EUROMECH Nonlinear Dynamics Conference) Eindhoven, The Netherland 2005

    [20]

    Nolan J P 1999 Math. Comput. Model 29 229

    [21]

    Tang Y, Zou W, Lu J Q, Kurths J 2012 Phys. Rev. E 85 046207

    [22]

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

    [23]

    Liang Y J, Chen W 2013 Signal Process. 93 242

    [24]

    Jiao S B, He T 2013 Comput. Engineer. Appl. 50 221 (in Chinese) [焦尚彬, 何童 2013 计算机工程与应用 50 221]

    [25]

    Xu W, Jin Y F, Xu M, Li W 2005 Acta Phys. Sin. 54 2405 (in Chinese) [徐伟, 靳艳飞, 徐猛, 李伟 2005 物理学报 54 2405]

    [26]

    Gong D C, Qin G R, Hu G, Wen X D 1992 Sci. China A 8 828 (in Chinese) [龚德纯, 秦光戎, 胡岗, 温孝东 1992 中国科学A辑 8 828]

    [27]

    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]

  • [1]

    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]

    [2]

    Zhu H J, Li R, Wen X D 2003 Acta Phys. Sin. 52 2405 (in Chinese) [祝恒江, 李蓉, 温孝东 2003 物理学报 52 2405]

    [3]

    Leng Y G, Wang T Y, Guo Y, Wang W J, Hu S G 2005 Acta Phys. Sin. 54 1118 (in Chinese) [冷永刚, 王太勇, 郭焱, 汪文津, 胡世广 2005 物理学报 54 1118]

    [4]

    Xiao F H, Yan G R, Han Y H 2004 Acta Phys. Sin. 53 396 (in Chinese) [肖方红, 闫桂荣, 韩雨航 2004 物理学报 53 396]

    [5]

    Jiang S Q, Hou M J, Jia C H, He J R, Gu T X 2009 Chin. Phys. B 18 2667

    [6]

    Li J L, Xu B H 2006 Chin. Phys. B 15 2867

    [7]

    Li J L 2009 Chin. Phys. B 18 5196

    [8]

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

    [9]

    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]

    [10]

    Zhang J J, Jin Y F 2011 Acta Phys. Sin. 60 120501 (in Chinese) [张静静, 靳艳飞 2011 物理学报 60 120501]

    [11]

    Li J H 2002 Phys. Rev. E 66 031104

    [12]

    Zhou B C, Xu W 2008 Acta Phys. Sin. 57 2035 (in Chinese) [周丙常, 徐伟 2008 物理学报 57 2035]

    [13]

    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]

    [14]

    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]

    [15]

    Jiao S B, Ren C, Li P H, Zhang Q, Xie G 2013 Acta Phys. Sin. 63 070501 (in Chinese) [焦尚彬, 任超, 李鹏华, 张青, 谢国 2013 物理学报 63 070501]

    [16]

    Leng Y G, Wang T Y, Guo Y, Wu Z Y 2007 Acta Phys. Sin. 56 30 (in Chinese) [冷永刚, 王太勇, 郭焱, 吴振勇 2007 物理学报 56 30]

    [17]

    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]

    [18]

    Jin Y F, Xu W, Xu M 2005 Chaos, Soliton. Fract. 26 1183

    [19]

    Leccardi M 2005 ENOC'O5 (Fifth EUROMECH Nonlinear Dynamics Conference) Eindhoven, The Netherland 2005

    [20]

    Nolan J P 1999 Math. Comput. Model 29 229

    [21]

    Tang Y, Zou W, Lu J Q, Kurths J 2012 Phys. Rev. E 85 046207

    [22]

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

    [23]

    Liang Y J, Chen W 2013 Signal Process. 93 242

    [24]

    Jiao S B, He T 2013 Comput. Engineer. Appl. 50 221 (in Chinese) [焦尚彬, 何童 2013 计算机工程与应用 50 221]

    [25]

    Xu W, Jin Y F, Xu M, Li W 2005 Acta Phys. Sin. 54 2405 (in Chinese) [徐伟, 靳艳飞, 徐猛, 李伟 2005 物理学报 54 2405]

    [26]

    Gong D C, Qin G R, Hu G, Wen X D 1992 Sci. China A 8 828 (in Chinese) [龚德纯, 秦光戎, 胡岗, 温孝东 1992 中国科学A辑 8 828]

    [27]

    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]

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Publishing process
  • Received Date:  12 June 2014
  • Accepted Date:  01 September 2014
  • Published Online:  05 January 2015

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