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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.
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Keywords:
- multiplicative colored noise /
- plus colored noise /
- steady-state probability density function /
- tri-state system
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[7] [8] [9] Shi P M, Ding X J, Han D Y 2014 Measurement 47540
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[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 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 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 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 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 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 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 59 2147]
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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 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 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 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 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 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 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 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 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 59 2147]
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