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We investigated the stochastic resonance of the time-delayed mono-stable system modulated by periodic rectangular signal and Gaussian white noises. The expression of signal-to-noise ratio (SNR) is obtained, and the stochastic resonance phenomenon is found in this system. The study shows that the effects of multiplicative and white noise intensity on the SNR are different. In the SNR-D plot, the phenomenon of resonance and suppression exists together. When the value of the bias of system |r| is bigger or the ratio of multiplicative and white noise intensity D/ is less than 1, the stochastic resonance phenomena in the SNR- plots disappear.
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Keywords:
- the time-delayed asymmetric mono-stable system /
- stochastic resonance /
- periodic rectangular signal
[1] Frank T D 2005 Phys. Rev. E 71 031106
[2] Piwonski T, Houlihan J, Busch T, Huyet G 2005 Phys. Rev. Lett. 95 040601
[3] Nie L R, Mei D C 2008 Phys. Rev. E 77 031107
[4] Cai J C, Mei D C 2008 Mod. Phys. Lett. B 22 2759
[5] Wu D, Zhu S Q 2006 Phys. Rev. E 73 051107
[6] Dong X J 2007 Acta Phys. Sin. 56 5618 (in Chinese)[董小娟2007 56 5618]
[7] Masoller C 2002 Phys. Rev. Lett. 88 034102
[8] Zhang H Q, Xu W, Xu Y, Zhou B C 2010 Science in China G 53 745
[9] Jia Z L 2010 Chin. Phys. B 19 020504
[10] Jin Y F, Hu H Y 2007 Physica A 382 423
[11] Guo Y F, Xu W, Wang L 2010 Chin. Phys. B 19 040503
[12] Guo F, Zhou Y R, Zhang Y 2010 Chin. Phys. B 19 070504
[13] Zhou Y R 2011 Chin. Phys. B 20 010501
[14] Dykman M I, Luchinsky D G, Mannella R, McClintock P V E, Stein N D, Stockset N G 1995 Nuovo Cimento D 17 661
[15] Evstigneev M, Reimann P, Pankov V, Princeet R H 2004 Europhys. Lett. 65 7
[16] Stocks N G, Stein N D, Soskin S M, McClintock P V E 1992 J. Phys. A: Math. Gen. 25 L1119
[17] Vilar J M G, Rubi J M 1996 Phys. Rev. Lett. 77 2863
[18] Zhou B C, Xu W 2009 Chaos, Solitions and Fractals 40 401
[19] Guo F, Huang Z Q, Fan Y, Li S P, Zhang Y 2009 Chin. Phys. Lett. 26 10054
[20] McNamara B, Wiesenfield K 1989 Phys. Rev. A 39 4854
[21] Ginzburg S L, Pustovoit M A 1999 JETP 89 801
[22] Ginzburg S L, Pustovoit M A 2002 Phys. Rev. E 66 021107
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[1] Frank T D 2005 Phys. Rev. E 71 031106
[2] Piwonski T, Houlihan J, Busch T, Huyet G 2005 Phys. Rev. Lett. 95 040601
[3] Nie L R, Mei D C 2008 Phys. Rev. E 77 031107
[4] Cai J C, Mei D C 2008 Mod. Phys. Lett. B 22 2759
[5] Wu D, Zhu S Q 2006 Phys. Rev. E 73 051107
[6] Dong X J 2007 Acta Phys. Sin. 56 5618 (in Chinese)[董小娟2007 56 5618]
[7] Masoller C 2002 Phys. Rev. Lett. 88 034102
[8] Zhang H Q, Xu W, Xu Y, Zhou B C 2010 Science in China G 53 745
[9] Jia Z L 2010 Chin. Phys. B 19 020504
[10] Jin Y F, Hu H Y 2007 Physica A 382 423
[11] Guo Y F, Xu W, Wang L 2010 Chin. Phys. B 19 040503
[12] Guo F, Zhou Y R, Zhang Y 2010 Chin. Phys. B 19 070504
[13] Zhou Y R 2011 Chin. Phys. B 20 010501
[14] Dykman M I, Luchinsky D G, Mannella R, McClintock P V E, Stein N D, Stockset N G 1995 Nuovo Cimento D 17 661
[15] Evstigneev M, Reimann P, Pankov V, Princeet R H 2004 Europhys. Lett. 65 7
[16] Stocks N G, Stein N D, Soskin S M, McClintock P V E 1992 J. Phys. A: Math. Gen. 25 L1119
[17] Vilar J M G, Rubi J M 1996 Phys. Rev. Lett. 77 2863
[18] Zhou B C, Xu W 2009 Chaos, Solitions and Fractals 40 401
[19] Guo F, Huang Z Q, Fan Y, Li S P, Zhang Y 2009 Chin. Phys. Lett. 26 10054
[20] McNamara B, Wiesenfield K 1989 Phys. Rev. A 39 4854
[21] Ginzburg S L, Pustovoit M A 1999 JETP 89 801
[22] Ginzburg S L, Pustovoit M A 2002 Phys. Rev. E 66 021107
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