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In this paper, the stochastic resonance of two-dimensional Duffing oscillator under the adiabatic assumption is studied. For the large parameter condition, we propose the large parameter stochastic resonance of two-dimensional Duffing oscillator, and discuss the relationship between the scale transformation stochastic resonance and the parameter adjustment stochastic resonance. Then we reveal the mechanism of signal detection by Duffing oscillator stochastic resonance in large parameter condition, and extend its application to weak signal detection.
[1] Gao J Z 2005 Detection of Weak Signals (Beijing: Tsinghua University Press) pp19-24 (in Chinese) [高晋占 2005 微弱信号检测(北京:清华大学出版社) 第19—24页]
[2] Belhaq M, Houssni M 2000 Chaos, Solitons {& Fractals} 11 1237
[3] Zhai D Q, Liu C X, Liu Y 2010 Acta Phys. Sin. 59 816 (in Chinese) [翟笃庆, 刘崇新, 刘尧 2010 59 816]
[4] Wang Y S, Jiang W Z, Zhao J J, Fan H D 2008 Acta Phys. Sin. 57 2053 (in Chinese) [王永生, 姜文志, 赵建军, 范洪达 2008 57 2053]
[5] Lai Z H, Leng Y G, Sun J Q, Fan S B 2012 Acta Phys. Sin. 61 050503 (in Chinese) [赖志慧, 冷永刚, 孙建桥, 范胜波 2012 61 050503]
[6] Beniz R, Sutera A, Vulplana A 1981 Phys. A 14 453
[7] Benzi R, Parisi G, Srutera A, Vulpiana A 1982 Tellus 34 11
[8] Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rew. Mod. Phys. 70 223
[9] Wang F Z, Wen X D, Li R, Qin G R 1996 J. Beijing Normal Uni. (Nature Science) 32 47 (in Chinese) [王辅忠, 温孝东, 李蓉, 秦光戎 1996 北京师范大学学报(自然科学版) 32 47]
[10] Kang Y M, Xu J X, Xie Y 2003 Acta Phys. Sin. 52 802 (in Chinese) [康艳梅, 徐健学, 谢勇 2003 52 802]
[11] Kang Y M, Xu J X, Xie Y 2004 Acta Mech. Sin. 36 247 (in Chinese) [康艳梅, 徐健学, 谢勇 2004 力学学报 36 247]
[12] Zhang G J, Xu J X, Yao H 2006 Acta Mech. Sin. 38 283 (in Chinese) [张广军, 徐健学, 姚宏 2006 力学学报 38 283]
[13] Hu G 1994 Stochastic Forces and Nonlinear System (Shanghai: Shanghai Science & Technology Education Press) pp222-229 (in Chinese) [胡岗 1994 随机力与非线性系统(上海:上海科技教育出版社) 第222—229页]
[14] Leng Y G, Wang T Y, Qin X D 2004 Acta Phys. Sin. 53 717 (in Chinese) [冷永刚, 王太勇, 秦旭达 2004 53 717]
[15] Wang J F, Liu F, Wang J Y, Chen G, Wang W 1997 Acta Phys. Sin. 46 2305 (in Chinese) [王嘉赋, 刘锋, 王均义, 陈光, 王玮 1997 46 2305]
[16] Leng Y G, Leng Y S, Guo Y 2006 J. Sound and Vibration 292 788
[17] Leng Y G 2011 Acta Phys. Sin. 60 020503 (in Chinese) [冷永刚 2011 60 020503]
[18] Leng Y G, Wang T Y 2007 Mechanical Systems and Signal Processing 21 138
[19] Leng Y G 2009 Acta Phys. Sin. 58 5196 (in Chinese) [冷永刚 2009 58 5196]
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[1] Gao J Z 2005 Detection of Weak Signals (Beijing: Tsinghua University Press) pp19-24 (in Chinese) [高晋占 2005 微弱信号检测(北京:清华大学出版社) 第19—24页]
[2] Belhaq M, Houssni M 2000 Chaos, Solitons {& Fractals} 11 1237
[3] Zhai D Q, Liu C X, Liu Y 2010 Acta Phys. Sin. 59 816 (in Chinese) [翟笃庆, 刘崇新, 刘尧 2010 59 816]
[4] Wang Y S, Jiang W Z, Zhao J J, Fan H D 2008 Acta Phys. Sin. 57 2053 (in Chinese) [王永生, 姜文志, 赵建军, 范洪达 2008 57 2053]
[5] Lai Z H, Leng Y G, Sun J Q, Fan S B 2012 Acta Phys. Sin. 61 050503 (in Chinese) [赖志慧, 冷永刚, 孙建桥, 范胜波 2012 61 050503]
[6] Beniz R, Sutera A, Vulplana A 1981 Phys. A 14 453
[7] Benzi R, Parisi G, Srutera A, Vulpiana A 1982 Tellus 34 11
[8] Gammaitoni L, Hanggi P, Jung P, Marchesoni F 1998 Rew. Mod. Phys. 70 223
[9] Wang F Z, Wen X D, Li R, Qin G R 1996 J. Beijing Normal Uni. (Nature Science) 32 47 (in Chinese) [王辅忠, 温孝东, 李蓉, 秦光戎 1996 北京师范大学学报(自然科学版) 32 47]
[10] Kang Y M, Xu J X, Xie Y 2003 Acta Phys. Sin. 52 802 (in Chinese) [康艳梅, 徐健学, 谢勇 2003 52 802]
[11] Kang Y M, Xu J X, Xie Y 2004 Acta Mech. Sin. 36 247 (in Chinese) [康艳梅, 徐健学, 谢勇 2004 力学学报 36 247]
[12] Zhang G J, Xu J X, Yao H 2006 Acta Mech. Sin. 38 283 (in Chinese) [张广军, 徐健学, 姚宏 2006 力学学报 38 283]
[13] Hu G 1994 Stochastic Forces and Nonlinear System (Shanghai: Shanghai Science & Technology Education Press) pp222-229 (in Chinese) [胡岗 1994 随机力与非线性系统(上海:上海科技教育出版社) 第222—229页]
[14] Leng Y G, Wang T Y, Qin X D 2004 Acta Phys. Sin. 53 717 (in Chinese) [冷永刚, 王太勇, 秦旭达 2004 53 717]
[15] Wang J F, Liu F, Wang J Y, Chen G, Wang W 1997 Acta Phys. Sin. 46 2305 (in Chinese) [王嘉赋, 刘锋, 王均义, 陈光, 王玮 1997 46 2305]
[16] Leng Y G, Leng Y S, Guo Y 2006 J. Sound and Vibration 292 788
[17] Leng Y G 2011 Acta Phys. Sin. 60 020503 (in Chinese) [冷永刚 2011 60 020503]
[18] Leng Y G, Wang T Y 2007 Mechanical Systems and Signal Processing 21 138
[19] Leng Y G 2009 Acta Phys. Sin. 58 5196 (in Chinese) [冷永刚 2009 58 5196]
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