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Investigated are the effects of the cross-correlation time τ or the self-correlation times τ1 and τ2 on the relaxation time T of an optical bistable system using the Mei's method(Mei D C, Xie C W, Zhang L 2003 Phys. Rev. E 68 051102). It is found that the relaxation time T increases with the increase of the cross-correlation time τ between the two noises or the self-correlation time τ1 of the multiplicative noise, and that a one-peak structure appears on the T－τ2 plot. T increases with the increase of correlation intensity λ but decreases with the increase of multiplicative noise intensity Q.
[1] Fulinski A, Telejko T 1991 Phys. Lett. A 152 11
[2] Madureira A J R, Hanggi P, Wio H S 1996 Phys. Lett. A 217 248
[3] Jia Y, Li J R 1996 Phys. Rev. E 53 5786
[4] Zhu S 1992 Phys.Rev.A 45 3210
[5] Luo X, Zhu S 2003 Phys. Rev. E 67 021104
[6] Cao L, Wu D J, Ke S Z 1995 Phys. Rev. E 52 3228
[7] Han L B, Cao L, Wu D J, Wang J 2004 Acta Phys. Sin. 53 2127(in Chinese)[韩立波、曹 力、吴大进、王 俊 2004 53 2127]
[8] Zhang L, Cao L, Wu D J 2003 Chin. Phys. 12 33
[9] Jia Y, Yu S N, Li J R 2000 Phys. Rev. E 62 1869
[10] Mei D C,Xie C W,Xiang Y L 2004 Physica A 343 167
[11] Cao L, Wu D J 1994 Phys.Lett.A 185 59
[12] Wang J, Zhu S 1995 Phys. Lett. A 207 47
[13] Mei D C, Xie G Z, Cao L, Wu D J 1999 Phys. Rev. E 59 3880
[14] Wang B, Wu X Q, Shao J H 2009 Acta Phys. Sin. 58 1391(in Chinese)[王 兵、吴秀清、邵继红 2009 58 1391]
[15] Mei D C, Xie C W, Zhang L 2003 Phys. Rev. E 68 051102
[16] Cheng Q, Cao L, Xu D, Wu D J 2004 Chin. Opt. Lett. 2 331
[17] Denisov S I, Vitrenko A N, Horsthemke W 2003 Phys. Rev. E 68 046132
[18] Bartussek R, Hanggi P, Jung P 1994 Phys. Rev. E 49 3930
[19] Ning L J, Xu W 2007 Acta Phys. Sin. 56 1944(in Chinese)[宁丽娟、徐 伟 2007 56 1944]
[20] Du L C, Mei D C 2008 Phys. Lett. A 372 5529
[21] Zhang L, Cao L, Wu D J 2008 Phys. Rev. A 77 015801
[22] Bonifacio R, Lugiato L A 1978 Phys. Rev. A 18 1129
[23] Bowden C M, Ciftan M, Robi H R 1981Optical Bistability, (New York:Plenum Press)
[24] Novikov E A 1965 Sov. Phys. JETP 20 1290
[25] Fox R F 1986 Phys. Rev. A 34 4525
[26] Fujisaka H, Grossmann S 1981 Z. Phys. B 43 69
[27] Mei D C, Xiang Y L, Xie C W 2006 Physica Scripta 74 123
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[1] Fulinski A, Telejko T 1991 Phys. Lett. A 152 11
[2] Madureira A J R, Hanggi P, Wio H S 1996 Phys. Lett. A 217 248
[3] Jia Y, Li J R 1996 Phys. Rev. E 53 5786
[4] Zhu S 1992 Phys.Rev.A 45 3210
[5] Luo X, Zhu S 2003 Phys. Rev. E 67 021104
[6] Cao L, Wu D J, Ke S Z 1995 Phys. Rev. E 52 3228
[7] Han L B, Cao L, Wu D J, Wang J 2004 Acta Phys. Sin. 53 2127(in Chinese)[韩立波、曹 力、吴大进、王 俊 2004 53 2127]
[8] Zhang L, Cao L, Wu D J 2003 Chin. Phys. 12 33
[9] Jia Y, Yu S N, Li J R 2000 Phys. Rev. E 62 1869
[10] Mei D C,Xie C W,Xiang Y L 2004 Physica A 343 167
[11] Cao L, Wu D J 1994 Phys.Lett.A 185 59
[12] Wang J, Zhu S 1995 Phys. Lett. A 207 47
[13] Mei D C, Xie G Z, Cao L, Wu D J 1999 Phys. Rev. E 59 3880
[14] Wang B, Wu X Q, Shao J H 2009 Acta Phys. Sin. 58 1391(in Chinese)[王 兵、吴秀清、邵继红 2009 58 1391]
[15] Mei D C, Xie C W, Zhang L 2003 Phys. Rev. E 68 051102
[16] Cheng Q, Cao L, Xu D, Wu D J 2004 Chin. Opt. Lett. 2 331
[17] Denisov S I, Vitrenko A N, Horsthemke W 2003 Phys. Rev. E 68 046132
[18] Bartussek R, Hanggi P, Jung P 1994 Phys. Rev. E 49 3930
[19] Ning L J, Xu W 2007 Acta Phys. Sin. 56 1944(in Chinese)[宁丽娟、徐 伟 2007 56 1944]
[20] Du L C, Mei D C 2008 Phys. Lett. A 372 5529
[21] Zhang L, Cao L, Wu D J 2008 Phys. Rev. A 77 015801
[22] Bonifacio R, Lugiato L A 1978 Phys. Rev. A 18 1129
[23] Bowden C M, Ciftan M, Robi H R 1981Optical Bistability, (New York:Plenum Press)
[24] Novikov E A 1965 Sov. Phys. JETP 20 1290
[25] Fox R F 1986 Phys. Rev. A 34 4525
[26] Fujisaka H, Grossmann S 1981 Z. Phys. B 43 69
[27] Mei D C, Xiang Y L, Xie C W 2006 Physica Scripta 74 123
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