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In view of the situation that the linear harmonic oscillator is subjected to the simple harmonic force with the frequency fluctuation, we work out the expression of the first-order moment for the system response. It is found that the system output response vibrates at the natural frequency, that the response amplitude shows bona-fide stochastic resonance as the simple harmonic excitation force frequency varies, and that the suppression and the resonance appears as the natural frequency varies.
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Keywords:
- frequency noise /
- first-order moments /
- stochastic resonance
[1] Zhu H J, Li R, Wen X D 2003 Acta Phys. Sin. 52 2404 (in Chinese) [祝恒江, 李蓉, 温孝东 2003 52 2404]
[2] Zhang L Y, Cao L, Wu D J 2003 Acta Phys. Sin. 52 1174 (in Chinese) [张良英, 曹力, 吴大进 2003 52 1174]
[3] 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 52 2712]
[4] Luo X Q, Zhu S Q 2004 Chin. Phys. 13 1201
[5] Li J L, Xu B H 2006 Chin. Phys. 15 2867
[6] Zhou B C, Xu W 2007 Acta Phys. Sin. 56 5623 (in Chinese) [周丙常, 徐伟 2007 56 5623]
[7] Zhang L, Liu L, Cao L 2010 Acta Phys. Sin. 59 1494 (in Chinese) [张莉, 刘立, 曹力 2010 59 1494]
[8] Lin M, Huang Y M 2006 Proc. Chin. Soc. Electr. Eng. 26 128 (in Chinese) [林敏, 黄咏梅 2006 中国电机工程学报 26 128]
[9] Jin G X, Cao L, Zhang L Y 2007 Acta Phys. Sin. 56 3739 (in Chinese) [金国祥, 曹力, 张良英 2007 56 3739]
[10] Chen D Y, Wang Z L 2008 Acta Phys. Sin. 57 3333 (in Chinese) [陈德彝, 王忠龙 2008 57 3333]
[11] Song Y L 2006 Acta Phys. Sin. 55 6482 (in Chinese) [宋艳丽 2006 55 6482]
[12] Berdichevsky V, Gitterman M 1999 Phys. Rev. E 60 1494
[13] Wang F Z, Wen X D, Li R, Qin G R 1996 J. Beijing Normal Univ. 32 47 (in Chinese) [王辅忠, 温孝东, 李蓉, 秦光戎 1996 北京师范大学学报 32 47]
[14] Gitterman M 2003 Phys. Rev. E 67 057103
[15] Gitterman M 2004 Phys. Rev. E 69 041101
[16] Jin Y F, Hu H Y 2009 Acta Phys. Sin. 58 2895 (in Chinese) [靳艳飞, 胡海岩 2009 58 2895]
[17] Wang Y J, Zhao H L, Li M J 2010 J. Nanjing Univ. Aeron. Astron. 42 68 (in Chinese) [王永建, 赵洪林, 李明江 2010 南京航空航天大学学报 42 68]
[18] Zhang L B, Zhang L Y 2009 Meas. Control Techn. 28 89 (in Chinese) [张良斌, 张良英 2009 测控技术 28 89]
[19] Zhang X B, Dong H Y, Xuan Z L 2008 Appl. Acoust. 27 283 (in Chinese) [张晓兵, 董华玉, 玄兆林 2008 应用声学 27 283]
[20] Zhang L Y, Jin G X, Cao L 2011 Acta Phys. Sin. 60 044207 (in Chinese) [张良英, 金国祥, 曹力 2011 60 044207]
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[1] Zhu H J, Li R, Wen X D 2003 Acta Phys. Sin. 52 2404 (in Chinese) [祝恒江, 李蓉, 温孝东 2003 52 2404]
[2] Zhang L Y, Cao L, Wu D J 2003 Acta Phys. Sin. 52 1174 (in Chinese) [张良英, 曹力, 吴大进 2003 52 1174]
[3] 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 52 2712]
[4] Luo X Q, Zhu S Q 2004 Chin. Phys. 13 1201
[5] Li J L, Xu B H 2006 Chin. Phys. 15 2867
[6] Zhou B C, Xu W 2007 Acta Phys. Sin. 56 5623 (in Chinese) [周丙常, 徐伟 2007 56 5623]
[7] Zhang L, Liu L, Cao L 2010 Acta Phys. Sin. 59 1494 (in Chinese) [张莉, 刘立, 曹力 2010 59 1494]
[8] Lin M, Huang Y M 2006 Proc. Chin. Soc. Electr. Eng. 26 128 (in Chinese) [林敏, 黄咏梅 2006 中国电机工程学报 26 128]
[9] Jin G X, Cao L, Zhang L Y 2007 Acta Phys. Sin. 56 3739 (in Chinese) [金国祥, 曹力, 张良英 2007 56 3739]
[10] Chen D Y, Wang Z L 2008 Acta Phys. Sin. 57 3333 (in Chinese) [陈德彝, 王忠龙 2008 57 3333]
[11] Song Y L 2006 Acta Phys. Sin. 55 6482 (in Chinese) [宋艳丽 2006 55 6482]
[12] Berdichevsky V, Gitterman M 1999 Phys. Rev. E 60 1494
[13] Wang F Z, Wen X D, Li R, Qin G R 1996 J. Beijing Normal Univ. 32 47 (in Chinese) [王辅忠, 温孝东, 李蓉, 秦光戎 1996 北京师范大学学报 32 47]
[14] Gitterman M 2003 Phys. Rev. E 67 057103
[15] Gitterman M 2004 Phys. Rev. E 69 041101
[16] Jin Y F, Hu H Y 2009 Acta Phys. Sin. 58 2895 (in Chinese) [靳艳飞, 胡海岩 2009 58 2895]
[17] Wang Y J, Zhao H L, Li M J 2010 J. Nanjing Univ. Aeron. Astron. 42 68 (in Chinese) [王永建, 赵洪林, 李明江 2010 南京航空航天大学学报 42 68]
[18] Zhang L B, Zhang L Y 2009 Meas. Control Techn. 28 89 (in Chinese) [张良斌, 张良英 2009 测控技术 28 89]
[19] Zhang X B, Dong H Y, Xuan Z L 2008 Appl. Acoust. 27 283 (in Chinese) [张晓兵, 董华玉, 玄兆林 2008 应用声学 27 283]
[20] Zhang L Y, Jin G X, Cao L 2011 Acta Phys. Sin. 60 044207 (in Chinese) [张良英, 金国祥, 曹力 2011 60 044207]
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