Chin. Phys. Lett.  2010, Vol. 27 Issue (9): 090506    DOI: 10.1088/0256-307X/27/9/090506
GENERAL |
Stochastic Resonance in a Time-Delayed Bistable System Driven by Square-Wave Signal
GUO Feng1, ZHOU Yu-Rong2, ZHANG Yu3
1School of Information Engineering, Southwest University of Science and Technology, Mianyang 621010 2School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000 3College of Economics and Management, Southwest University of Science and Technology, Mianyang 621010
Cite this article:   
GUO Feng, ZHOU Yu-Rong, ZHANG Yu 2010 Chin. Phys. Lett. 27 090506
Download: PDF(483KB)  
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

Stochastic resonance in a time-delayed bistable system subject to asymmetric dichotomous noise and multiplicative and additive white noise is investigated. Using small time delay approximation, we obtain the expression of the signal-to-noise ratio (SNR). It is found that the SNR is a non-monotonic function of the delayed times, of the amplitude of the input square-wave signal, as well as of the asymmetry of the dichotomous noise. In addition, the SNR varies non-monotonously with the system parameters, with the intensities of the multiplicative and additive noise, as well as with the correlate rate of the dichotomous noise.

Keywords: 05.40.-a      02.50.-     
Received: 22 November 2009      Published: 25 August 2010
PACS:  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  02.50.-  
TRENDMD:   
URL:  
https://cpl.iphy.ac.cn/10.1088/0256-307X/27/9/090506       OR      https://cpl.iphy.ac.cn/Y2010/V27/I9/090506
Service
E-mail this article
E-mail Alert
RSS
Articles by authors
GUO Feng
ZHOU Yu-Rong
ZHANG Yu
[1] Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A: Math Gen. 14 L453

[2] Benzi R, Parisi G, Sutera A and Vulpiani A 1982 Tellus 34 10

[3] R Rozenfeld. A Neiman and Lutz S G 2000 Phys. Rev. E 62 R3031

[4] Li J H 2002 Phys. Rev. E 66 031104

[5] Gitterman M 2003 Phys. Rev. E 67 057103

[6] Guo F, Zhou Y R, Jiang S Q and Gu T X 2006 J. Phys. A: Math Gen. 39 13861

[7] Calisto H, Mora F, and Tirapegui E 2006 Phys. Rev. E 74 022102

[8] Guillouzic S, Heureux I L and Longtin A 1999 Phys. Rev. E 59 3970

[9] Frank T D 2005 Phys. Rev. E 71 031106

[10] Zeng C H, Sun Y L and Chen G X 2009 Mod. Phys. Lett. B 23 2281

[11] Guillouzic S, Heux I L and Lonhtin A 2000 Phys. Rev. E 61 4906

[12] Novikov E A 1964 Zh. Eksp. Teor. Fiz. 47 1919

[13] Novikov E A 1964 Sov. Phys. JETP 20 1290

[14] Fox R F 1986 Phys. Rev. A 34 4525

[15] McNamara B and Wiesenfeld K 1989 Phys. Rev. A 39 4854

[16] Ginzburg S L and Pustovoit M A 2002 Phys. Rev. E 66 021107

[17] Zeng W M 1999 Phys. Rev. A 44 6443

[18] Fox R F, Gatland I R, Roy R and Vemuri G 1988 Phys. Rev. A 38 5938

[19] Press W H, Teukolsky S A, Vetterling W T and Flannery B P 1992 Numerical Recipes in FORTRAN 2nd edn (Cambridge: Cambridge University)

[20] Kim C and Lee E K 2006 Phys. Rev. E 73 026101
Related articles from Frontiers Journals
[1] BAI Zhan-Wu. Role of the Bath Spectrum in the Specific Heat Anomalies of a Damped Oscillator[J]. Chin. Phys. Lett., 2012, 29(6): 090506
[2] SHU Chang-Zheng,NIE Lin-Ru**,ZHOU Zhong-Rao. Stochastic Resonance-Like and Resonance Suppression-Like Phenomena in a Bistable System with Time Delay and Additive Noise[J]. Chin. Phys. Lett., 2012, 29(5): 090506
[3] DUAN Wen-Qi. Formation Mechanism of the Accumulative Magnification Effect in a Financial Time Series[J]. Chin. Phys. Lett., 2012, 29(3): 090506
[4] TIAN Liang, LIN Min. Relaxation of Evolutionary Dynamics on the Bethe Lattice[J]. Chin. Phys. Lett., 2012, 29(3): 090506
[5] REN Xue-Zao, YANG Zi-Mo, WANG Bing-Hong, ZHOU Tao. Mandelbrot Law of Evolving Networks[J]. Chin. Phys. Lett., 2012, 29(3): 090506
[6] WEI Du-Qu, LUO Xiao-Shu, ZHANG Bo. Noise-Induced Voltage Collapse in Power Systems[J]. Chin. Phys. Lett., 2012, 29(3): 090506
[7] GU Shi-Jian**, WANG Li-Gang, WANG Zhi-Guo, LIN Hai-Qing. Repeater-Assisted Zeno Effect in Classical Stochastic Processes[J]. Chin. Phys. Lett., 2012, 29(1): 090506
[8] HUANG Jia-Min, TAO Wei-Ming**, XU Bo-Hou. Evaluation of an Asymmetric Bistable System for Signal Detection under Lévy Stable Noise[J]. Chin. Phys. Lett., 2012, 29(1): 090506
[9] ZHANG Lu, ZHONG Su-Chuan, PENG Hao, LUO Mao-Kang** . Stochastic Multi-Resonance in a Linear System Driven by Multiplicative Polynomial Dichotomous Noise[J]. Chin. Phys. Lett., 2011, 28(9): 090506
[10] LI Chun, MEI Dong-Cheng, ** . Effects of Time Delay on Stability of an Unstable State in a Bistable System with Correlated Noises[J]. Chin. Phys. Lett., 2011, 28(4): 090506
[11] YANG Yang, WANG Cang-Long, DUAN Wen-Shan**, CHEN Jian-Min . Resonance and Rectification in a Two-Dimensional Frenkel–Kontorova Model with Triangular Symmetry[J]. Chin. Phys. Lett., 2011, 28(3): 090506
[12] WANG Shao-Hua, YANG Ming**, WU Da-Jin . Diffusion of Active Particles Subject both to Additive and Multiplicative Noises[J]. Chin. Phys. Lett., 2011, 28(2): 090506
[13] HE Zheng-You, ZHOU Yu-Rong** . Vibrational and Stochastic Resonance in the FitzHugh–Nagumo Neural Model with Multiplicative and Additive Noise[J]. Chin. Phys. Lett., 2011, 28(11): 090506
[14] TANG Jun**, QU Li-Cheng, LUO Jin-Ming . Robustness of Diversity Induced Synchronization Transition in a Delayed Small-World Neuronal Network[J]. Chin. Phys. Lett., 2011, 28(10): 090506
[15] ZHANG Yan-Ping, HE Ji-Zhou**, XIAO Yu-Ling . An Approach to Enhance the Efficiency of a Brownian Heat Engine[J]. Chin. Phys. Lett., 2011, 28(10): 090506
Viewed
Full text


Abstract