Stochastic Resonance-Like and Resonance Suppression-Like Phenomena in a Bistable System with Time Delay and Additive Noise
-
Abstract
Stochastic resonance (SR)-like and resonance suppression (RS)-like phenomena in a time-delayed bistable system driven by additive white noise are investigated by means of stochastic simulations of the power spectrum, the quality factor of the power spectrum, and the mean first-passage time (MFPT) of the system. The calculative results indicate that: (i) as the system is driven by a small periodic signal, the quality factor as a function delay time exhibits a maximal value at smaller noise intensities, i.e., an SR-like phenomenon. With the increment in additive noise intensity, the extremum gradually disappears and the quality factor decreases monotonously with delay time. (ii) As the additive noise intensity is smaller, the curve of the MFPT with respect to delay time displays a peak, i.e., an RS-like phenomenon. At higher levels of noise, however, the non-monotonic behavior is lost. -
References
[1] Kim S, Park S H and Ryn C S 1999 Phys. Rev. Lett. 82 1620 doi: 10.1103/PhysRevLett.82.1620 [2] Nie L R and Mei D C 2008 Phys. Rev. E 77 031107 [3] Pisarchik A N, Meucci R, Arecchi F T 2000 Phys. Rev. E 62 8823 [4] Wu D and Zhu S Q 2007 Phys. Lett. A 363 202 [5] Du L C and Mei D C 2011 Phys. Scr. 84 015003 [6] Wang J, Cao L and Wu D J 2002 Chin. Phys. Lett. 19 1416 [7] Du L C and Mei D C 2008 J. Stat. Mech. 11 11020 [8] Mei D C, Du L C and Wang C J 2009 J. Stat. Phys. 137 625 [9] Nie L R and Mei D C 2008 Phys. Rev. E 77 031107 [10] Nie L R, Gong A L and Mei D C 2009 Chin. Phys. Lett. 26 060504 [11] Nie L R and Mei D C 2007 Chin. Phys. Lett. 24 3074 [12] Li C and Mei D C 2011 Chin. Phys. Lett. 28 040501 [13] Sun X X, Nie L R and Li P 2011 Europhys. Lett. 95 50003 [14] Benzi P, Sutera A and Vulpiani A 1981 J. Phys. A 14 L453 [15] Jia Y, Yu S N and Li J R 2000 Phys. Rev. E 62 1869 [16] Bai C Y, Yan Y and Mei D C 2010 Chin. Phys. B 19 060503 [17] Jia Y, Zheng X P, Hu X M and Li J R 2001 Phys. Rev. E 63 031107 [18] Cao L and Wu D J 2007 Physica A 376 191 [19] Li J H and Han Y X 2006 Phys. Rev. E 74 051115 [20] Mackey C and Glass L 1977 Science 197 287 [21] Zhang X P and Bao J D 2005 Chin. Phys. Lett. 22 283
Wu D J, Cao L and Ke S Z 1994 Phys. Rev. E 50 2496[22] Frank T D 2005 Phys. Rev. E 72 011112 [23] Liu B Z and Peng J H 2004 Nonlinear Dynamics (Beijing: Higher Education Press) (in Chinese) [24] Bao J D 1992 Chin. Phys. Lett. 9 1 [25] Sancho J M, San Miguel M, Katz S L, and Gunton J D 1982 Phys. Rev. A 26 1589 [26] Knuth D E 1969 The Art of Computer Programming (Reading, MA: Addison-Wesley) vol 2 [27] Hu G, Ditzinger T, Ning C Z, and Haken H 1993 Phys. Rev. Lett. 71 807 -
Related Articles
DownLoad: