输入方波信号的过阻尼谐振子的随机共振

陆志新; 曹力

doi:10.7498/aps.60.110501

摘要

计算了在输入方波信号情况下过阻尼谐振子的输出功率谱和信噪比,详细讨论了相应的随机共振现象,并与输入余弦信号情况进行对比.研究发现:它们均出现随机共振现象,且均存在共振和抑制并存的现象.但这一并存现象,在两模型中分别出现于不同的共振曲线.

关键词:

The output power and the signal-to-noise ratio of an overdamped harmonic oscillator are calculated in the case of square wave signal input. The corresponding stochastic resonance phenomenon and the comparison with the case of cosine signal input are discussed. Results reveal that there appear the stochastic resonances in these two cases, and the phenomenon in which the resonance and suppression are coexistent, but the coexistence phenomenon appears in the different stochastic resonance curves for these two models.

Keywords:

作者及机构信息

陆志新¹,
曹力²

1.
湖北汽车工业学院汽车工程系, 十堰 442002;

2.
华中科技大学物理学院, 武汉 430074

基金项目: 国家自然科学基金(批准号:11045004)资助的课题.

Authors and contacts

Lu Zhi-Xin¹,
Cao Li²

1.
Department of Automobile Engineering, Hubei University of Automotive Technology, Shiyan 442002, China;

2.
School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China

参考文献

[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]	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]
[9]	Zhang L, Cao L 2010 Chin. Phys. Lett. 27 060504
[10]	Cao L, Wu D J 2007 Int. J. Mod. Phys. B 21 1721
[11]	Arnold L 1974 Stochastic Defferential Equations: Theory and Applications(New York: Willy-Interscience Publication)
[12]	Cao L, Wu D J 2007 Physica A 376 191

施引文献

[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]	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]
[9]	Zhang L, Cao L 2010 Chin. Phys. Lett. 27 060504
[10]	Cao L, Wu D J 2007 Int. J. Mod. Phys. B 21 1721
[11]	Arnold L 1974 Stochastic Defferential Equations: Theory and Applications(New York: Willy-Interscience Publication)
[12]	Cao L, Wu D J 2007 Physica A 376 191

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