Please wait a minute...
Chin. Phys. B, 2011, Vol. 20(1): 010501    DOI: 10.1088/1674-1056/20/1/010501
GENERAL Prev   Next  

Stochastic resonance in a time-delayed mono-stable system with correlated multiplicative and additive white noise

Zhou Yu-Rong(周玉荣)
School of Information and Electric Engineering, Panzhihua University, Panzhihua 617000, China
Abstract  This paper considers the stochastic resonance for a time-delayed mono-stable system, driven by correlated multiplicative and additive white noise. It finds that the output signal-to-noise ratio (SNR) varies non-monotonically with the delayed times. The SNR varies non-monotonically with the increase of the intensities of the multiplicative and additive noise, with the increase of the correlation strength between the two noises, as well as with the system parameter.
Keywords:  stochastic resonance      time-delayed mono-stable system      signal-to-noise ratio  
Received:  23 March 2010      Revised:  09 August 2010      Accepted manuscript online: 
PACS:  05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion)  
  02.50.-r (Probability theory, stochastic processes, and statistics)  

Cite this article: 

Zhou Yu-Rong(周玉荣) Stochastic resonance in a time-delayed mono-stable system with correlated multiplicative and additive white noise 2011 Chin. Phys. B 20 010501

[1] Benzi R, Sutera A and Vulpiani A 1981 J. Phys. A 14 L453
[2] Benzi R, Parisi G, Sutera A and Vulpiani A 1982 Tellus 34 10
[3] Frank T D 2005 Phys. Rev. E 71 031106
[4] Goulding D, Melnik S, Curtin D, Piwonski T, Houlihan J, Gleeson J P and Huyet G 2007 Phys. Rev. E 76 031128
[5] Zeng C H, Sun Y L and Chen G X 2009 Mod. Phys. Lett. B 23 2281
[6] Majer N and Scholl E 2009 Phys. Rev. E 79 011109
[7] Dykman M I, Luchinsky D G, Mannella R, McClintock P V E, Stein N D and Stocks N G 1995 Nuovo Cimento D 17 661
[8] Evstigneev M, Reimann P, Pankov V and Prince R H 2004 Europhys. Lett. 65 7
[9] Stocks N G, Stein N D, Soskin S M and McClintock P V E 1992 J. Phys. A: Math. Gen. 25 L1119
[10] Stocks N G, Stein N D and McClintock P V E 1993 J. Phys. A: Math. Gen. 26 L385
[11] Vilar J M G and Rubi G M 1996 Phys. Rev. Lett. 77 2863
[12] Guo F, Huang Z Q, Fan Y, Li S F and Zhang Y 2009 Chin. Phys. Lett. 26 10054
[13] Novikov E A 1964 Zh. Eksp. Teor. Fiz. 47 1919
[14] Novikov E A 1965 Sov. Phys. JETP 20 1290
[15] Guillouzic S, Heureux I L and Longtin A 1999 Phys. Rev. E 59 3970
[16] Wu D and Zhu S Q 2007 Phys. Lett. A bf363 202
[17] Fox R F 1986 Phys. Rev. A 34 4525
[18] Grigorenko A N, Nikitin P I and Roschepkin G V 1996 J. Appl. Phys. 79 15
[19] Guo F 2009 Physica A 388 2315
[20] McNamara B and Wiesenfeld K 1989 Phys. Rev. A 39 4854
[21] Madureira A J R, Hanggi P and Wio H S 1996 Phys. Lett. A 217 248
[22] Schenzle A and Brand H 1979 Phys. Rev. A 20 1628
[23] Horsthemke W and Lefever R 1984 Noise-Induced Transitions: Theory and Applications in Physics, Chemistry and Biology, Springer Series in Synergetics (Berlin: Springer-Verlag Publishing House)
[24] Boylestad R L and Nashelsky L 2005 Electronic Devices and Circuit Theory (UK: Prentice Hall)
[25] Guo F, Zhou Y R, Jiang S Q and Gu T X 2006 J. Phys. A: Math. Gen. 39 13861
[1] Inverse stochastic resonance in modular neural network with synaptic plasticity
Yong-Tao Yu(于永涛) and Xiao-Li Yang(杨晓丽). Chin. Phys. B, 2023, 32(3): 030201.
[2] Realizing reliable XOR logic operation via logical chaotic resonance in a triple-well potential system
Huamei Yang(杨华美) and Yuangen Yao(姚元根). Chin. Phys. B, 2023, 32(2): 020501.
[3] Inhibitory effect induced by fractional Gaussian noise in neuronal system
Zhi-Kun Li(李智坤) and Dong-Xi Li(李东喜). Chin. Phys. B, 2023, 32(1): 010203.
[4] Hyperparameter on-line learning of stochastic resonance based threshold networks
Weijin Li(李伟进), Yuhao Ren(任昱昊), and Fabing Duan(段法兵). Chin. Phys. B, 2022, 31(8): 080503.
[5] Signal-to-noise ratio of Raman signal measured by multichannel detectors
Xue-Lu Liu(刘雪璐), Yu-Chen Leng(冷宇辰), Miao-Ling Lin(林妙玲), Xin Cong(从鑫), and Ping-Heng Tan(谭平恒). Chin. Phys. B, 2021, 30(9): 097807.
[6] A sign-function receiving scheme for sine signals enhanced by stochastic resonance
Zhao-Rui Li(李召瑞), Bo-Hang Chen(陈博航), Hui-Xian Sun(孙慧贤), Guang-Kai Liu(刘广凯), and Shi-Lei Zhu(朱世磊). Chin. Phys. B, 2021, 30(8): 080502.
[7] Collective stochastic resonance behaviors of two coupled harmonic oscillators driven by dichotomous fluctuating frequency
Lei Jiang(姜磊), Li Lai(赖莉), Tao Yu(蔚涛), Maokang Luo(罗懋康). Chin. Phys. B, 2021, 30(6): 060502.
[8] Time-varying coupling-induced logical stochastic resonance in a periodically driven coupled bistable system
Yuangen Yao(姚元根). Chin. Phys. B, 2021, 30(6): 060503.
[9] Blind parameter estimation of pseudo-random binary code-linear frequency modulation signal based on Duffing oscillator at low SNR
Ke Wang(王珂), Xiaopeng Yan(闫晓鹏), Ze Li(李泽), Xinhong Hao(郝新红), and Honghai Yu(于洪海). Chin. Phys. B, 2021, 30(5): 050708.
[10] Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback
Ting-Ting Shi(石婷婷), Xue-Mei Xu(许雪梅), Ke-Hui Sun(孙克辉), Yi-Peng Ding(丁一鹏), Guo-Wei Huang(黄国伟). Chin. Phys. B, 2020, 29(5): 050501.
[11] Novel Woods-Saxon stochastic resonance system for weak signal detection
Yong-Hui Zhou(周永辉), Xue-Mei Xu(许雪梅), Lin-Zi Yin(尹林子), Yi-Peng Ding(丁一鹏), Jia-Feng Ding(丁家峰), Ke-Hui Sun(孙克辉). Chin. Phys. B, 2020, 29(4): 040503.
[12] Noise properties of multi-combination information in x-ray grating-based phase-contrast imaging
Wali Faiz, Ji Li(李冀), Kun Gao(高昆), Zhao Wu(吴朝), Yao-Hu Lei(雷耀虎), Jian-Heng Huang(黄建衡), Pei-Ping Zhu(朱佩平). Chin. Phys. B, 2020, 29(1): 014301.
[13] Stochastic resonance in an under-damped bistable system driven by harmonic mixing signal
Yan-Fei Jin(靳艳飞). Chin. Phys. B, 2018, 27(5): 050501.
[14] Optimization of pick-up coils for weakly damped SQUID gradiometers
Kang Yang(杨康), Jialei Wang(王佳磊), Xiangyan Kong(孔祥燕), Ruihu Yang(杨瑞虎), Hua Chen(陈桦). Chin. Phys. B, 2018, 27(5): 050701.
[15] Stochastic resonance and synchronization behaviors of excitatory-inhibitory small-world network subjected to electromagnetic induction
Xiao-Han Zhang(张晓函), Shen-Quan Liu(刘深泉). Chin. Phys. B, 2018, 27(4): 040501.
No Suggested Reading articles found!