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Characterization of the work done by a periodic external force on an overdamped harmonic oscillator with frequency fluctuation is studied. Results indicate that the instantaneous power with periodic variations of time shows asymmetry. It is also revealed that the work done by a periodic external force on the system in one period with the variation of multiplicative noise intensity exhibits non-monotonic behavior. Whether the system shows the coexistence of energetic stochastic resonance and suppression or not is determined by the sign of the correlation coefficient between the multiplicative noise and the additive noise.
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Keywords:
- overdamped harmonic oscillator /
- frequency fluctuation /
- work done by a periodical external fore /
- energetic stochastic resonance and suppression
[1] Chandrasekhar 1943 Rev. Mod. Phys. 15 1
[2] Liu L, Zhang L Y, Cao L 2009 Chin Phys. B 18 4182
[3] Chen D Y, Wang Z L 2010 Acta Phys. Sin. 59 111 (in Chinese) [陈德彝, 王忠龙 2010 物理学报 59 111]
[4] Liu L, Wu D J 2009 College Physics 16 28 (in Chinese) [刘立, 吴大进 2009 大学物理 16 28]
[5] Gitterman M 2003 Phys. Rev. E 67 057103
[6] Gitterman M 2004 Phys. Rev. E 69 041101
[7] Zhang L, Liu L, Cao L 2010 Acta Phys. Sin 59 1494 (in Chinese) [张莉, 刘立, 曹力 2010 物理学报 59 1494]
[8] Iwai T 2001 Physica A 300 350
[9] Sekimomt K 1997 J. Phys. Soc. Jpn. 66 1234
[10] Sekimomt K 1998 Prog. Theor. Phys. Suppl. 130 17
[11] Lin M, Zhang M L 2011 Acta Phys. Sin. 60 020501 (in Chinese) [林敏, 张美丽 2011 物理学报 60 020501]
[12] Lin M, Zhang M L, Huang Y M 2011 Acta Phys. Sin. 60 080509 (in Chinese) [林敏, 张美丽, 黄咏梅 2011 物理学报 60 080509]
[13] Lin M, Huang Y M 2012 Acta Phys. Sin. 61 220205 (in Chinese) [林敏, 黄咏梅 2012 物理学报 62 220205]
[14] Seifert U 2008 Eur. Phys. J. B 64 423
[15] Seifert U 2005 Phys. Rev. Lett. 95 040602
[16] Sekimomt K 2007 Phys. Rev. E 76 060103(R)
[17] Horowitz J M 2012 Phys. Rev. E 85 031110
[18] Esposito M 2012 Phys. Rev. E 85 041125
[19] Jin Y F, Hu H Y 2009 Acta Phys. Sin. 58 2895 (in Chinese) [靳艳飞, 胡海岩 2009 物理学报 58 2895]
[20] Zhang L, Cao L 2010 Chin. Phys. Lett. 27 060504
[21] Cao L, Wu D J 2007 Int. J. Mod. Phys. B 21 1721
[22] Goodman J W 1995 Statistical Optics (New York: Wiley-Interscience Publication)
[23] Arnold L 1974 Stochastic Differential Equations: Theory and Applications (New York: Wiley-Interscience Publication)
[24] Risken H 1984 The Fekker-Planck Equation (Berlin: Sprenger-Verlag)
[25] Cao L, Wu D J 2007 Physica A 376 191
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[1] Chandrasekhar 1943 Rev. Mod. Phys. 15 1
[2] Liu L, Zhang L Y, Cao L 2009 Chin Phys. B 18 4182
[3] Chen D Y, Wang Z L 2010 Acta Phys. Sin. 59 111 (in Chinese) [陈德彝, 王忠龙 2010 物理学报 59 111]
[4] Liu L, Wu D J 2009 College Physics 16 28 (in Chinese) [刘立, 吴大进 2009 大学物理 16 28]
[5] Gitterman M 2003 Phys. Rev. E 67 057103
[6] Gitterman M 2004 Phys. Rev. E 69 041101
[7] Zhang L, Liu L, Cao L 2010 Acta Phys. Sin 59 1494 (in Chinese) [张莉, 刘立, 曹力 2010 物理学报 59 1494]
[8] Iwai T 2001 Physica A 300 350
[9] Sekimomt K 1997 J. Phys. Soc. Jpn. 66 1234
[10] Sekimomt K 1998 Prog. Theor. Phys. Suppl. 130 17
[11] Lin M, Zhang M L 2011 Acta Phys. Sin. 60 020501 (in Chinese) [林敏, 张美丽 2011 物理学报 60 020501]
[12] Lin M, Zhang M L, Huang Y M 2011 Acta Phys. Sin. 60 080509 (in Chinese) [林敏, 张美丽, 黄咏梅 2011 物理学报 60 080509]
[13] Lin M, Huang Y M 2012 Acta Phys. Sin. 61 220205 (in Chinese) [林敏, 黄咏梅 2012 物理学报 62 220205]
[14] Seifert U 2008 Eur. Phys. J. B 64 423
[15] Seifert U 2005 Phys. Rev. Lett. 95 040602
[16] Sekimomt K 2007 Phys. Rev. E 76 060103(R)
[17] Horowitz J M 2012 Phys. Rev. E 85 031110
[18] Esposito M 2012 Phys. Rev. E 85 041125
[19] Jin Y F, Hu H Y 2009 Acta Phys. Sin. 58 2895 (in Chinese) [靳艳飞, 胡海岩 2009 物理学报 58 2895]
[20] Zhang L, Cao L 2010 Chin. Phys. Lett. 27 060504
[21] Cao L, Wu D J 2007 Int. J. Mod. Phys. B 21 1721
[22] Goodman J W 1995 Statistical Optics (New York: Wiley-Interscience Publication)
[23] Arnold L 1974 Stochastic Differential Equations: Theory and Applications (New York: Wiley-Interscience Publication)
[24] Risken H 1984 The Fekker-Planck Equation (Berlin: Sprenger-Verlag)
[25] Cao L, Wu D J 2007 Physica A 376 191
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