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色关联乘性和加性色噪声驱动的多稳态系统的稳态特性

时培明 李培 韩东颖

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Citation:

色关联乘性和加性色噪声驱动的多稳态系统的稳态特性

时培明, 李培, 韩东颖

Steady-state analysis of a tristable system driven by a correlated multiplicative and an additive colored noises

Shi Pei-Ming, Li Pei, Han Dong-Ying
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  • 研究了色关联乘性和加性色噪声作用下的三稳态系统的稳态问题. 首先利用一致有色噪声近似方法,推导出稳态概率密度函数的表达式,然后分析了乘性噪声和加性噪声的强度以及关联性对稳态概率密度函数的影响,研究结果表明:加性噪声强度、加性噪声和乘性噪声的关联强度和关联时间可以诱导系统的非平衡相变.
    The steady-state problems of a tristable system are studied under the action of color correlated multiplicative and additive colored noise. Firstly, the expression of the steady-state probability density function is derived based on the uniform colored noise approximation, and then the change regulation of the steady-state probability density function is analyzed with the change of the strength and relevance of multiplicative noise and additive noise. Results show that the non-equilibrium phase transition of the system can be induced by the correlation strength and time of additive noise and multiplicative noise as well as the additive noise strength.
    • 基金项目: 国家自然科学基金(批准号:51005196,51104129)、河北省自然科学基金(批准号:E2012203194)和河北省教育厅优秀青年基金(批准号:YQ2013020)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 51005196, 51104129), the Natural Science Foundation of Hebei Province, China (Grant No. E2012203194), and the Education Department of Hebei Province outstanding youth fund, China (Grant No. YQ2013020).
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    Jin Y F, Xu W, Ma S J, Li W 2005 Acta Phys. Sin. 54 3480 (in Chinese)[靳艳飞, 徐伟, 马少娟, 李伟 2005 物理学报 54 3480]

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    Hao Y, Wu Z Q 2013 Acta Mech. Sin. 45 257

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    Benzi R, Sutera A, Vulpiani A 1981 J. Phys. A 14 L453

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    Du L C, Mei D C 2009 Chin. Phys. B 18 946

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    Jing L J, Xu W, Yang X L 2007 Acta Phys. Sin. 56 25 (in Chinese)[宁丽娟, 徐伟, 杨晓丽 2007 物理学报 56 25]

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    Zhang J J, Jin Y F 2011 Acta Phys. Sin. 60 12501 (in Chinese)[张静静, 靳艳飞 2011 物理学报 60 12501]

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  • [1]

    Yang Y Q, Wang C J 2012 Acta Phys. Sin. 61 120507 (in Chinese)[杨亚强, 王参军 2012 物理学报 61 120507]

    [2]

    Wu D, Zhu S Q 2007 Phys. Lett. A 363 202

    [3]
    [4]
    [5]

    Luo X, Wu D, Zhu S 2012 Int. J. Mod. Phys. B 26 215006

    [6]

    Rong H W, Wang X D, Xu W, Meng G 2003 Acta Phys. Sin. 52 2557 (in Chinese)[戎海武, 王向东, 徐伟, 孟光 2003 物理学报 52 2557]

    [7]
    [8]
    [9]

    Shi P M, Ding X J, Han D Y 2014 Measurement 47540

    [10]
    [11]

    Rong H W, Wang X D, Meng G Xu W 2006 Appl. Math. Mech 27 1373

    [12]
    [13]

    Jin Y F, Xu W, Ma S J, Li W 2005 Acta Phys. Sin. 54 3480 (in Chinese)[靳艳飞, 徐伟, 马少娟, 李伟 2005 物理学报 54 3480]

    [14]

    Jin Y F, Xu W, Li W, Ma S J 2005 Chinese Journal of Dynamics and Control 3 9

    [15]
    [16]

    Hao Y, Wu Z Q 2013 Acta Mech. Sin. 45 257

    [17]
    [18]
    [19]

    Li B, Jin Y F 2013 Acta Phys. Sin 62 150503 (in Chinese)[李贝, 靳艳飞 2013 物理学报 62 150503]

    [20]

    Zhou Y R 2011 Chin. Phys. B 20 010501

    [21]
    [22]

    Cao L, Liu L, Zhang L 2010 Acta Phys. Sin. 59 1494 (in Chinese)[曹力, 刘莉, 张立 2010 物理学报 59 1494]

    [23]
    [24]
    [25]

    Jia Y, Yu S N, Li J R 2000 Phys. Rev. E 62 1869

    [26]
    [27]

    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]

    [28]

    Benzi R, Sutera A, Vulpiani A 1981 J. Phys. A 14 L453

    [29]
    [30]
    [31]

    Du L C, Mei D C 2009 Chin. Phys. B 18 946

    [32]

    Jing L J, Xu W, Yang X L 2007 Acta Phys. Sin. 56 25 (in Chinese)[宁丽娟, 徐伟, 杨晓丽 2007 物理学报 56 25]

    [33]
    [34]
    [35]

    Zhang J J, Jin Y F 2011 Acta Phys. Sin. 60 12501 (in Chinese)[张静静, 靳艳飞 2011 物理学报 60 12501]

    [36]

    Garrett K A, Dobson A D M, Kroschel J 2013 Agr. Forest Meteorol. 170 216

    [37]
    [38]
    [39]

    Liu Y, Xie Y 2010 Acra Phys. Sin. 59 2147 (in Chinese)[刘勇, 谢勇 2010 物理学报 59 2147]

计量
  • 文章访问数:  5191
  • PDF下载量:  526
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-03-13
  • 修回日期:  2014-04-18
  • 刊出日期:  2014-09-05

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