Stochastic resonance in a time-delayed bistable system subject to multiplicative and additive noise

doi:10.1088/1674-1056/19/7/070504

Abstract This paper investigates the stochastic resonance in a time-delayed bistable system subjected to multiplicative and additive white noise and asymmetric dichotomous noise. Under the adiabatic approximation condition, the expression of the signal-to-noise ratio (SNR) is obtained. It finds that the SNR is a non-monotonic function of the delayed times, of the amplitude of the driving square-wave signal, as well as of the asymmetry of the dichotomous noise. In addition, the SNR varies non-monotonously with the intensities of the multiplicative and additive noise as well as the system parameters. Moreover, the SNR depends non-monotonically on the correlate rate of the dichotomous noise.

Keywords: stochastic resonance time-delayed bistable system signal-to-noise ratio

Accepted manuscript online:

PACS:	05.40.Ca	(Noise)
	07.05.Dz	(Control systems)
	02.30.Ks	(Delay and functional equations)
	02.50.Fz	(Stochastic analysis)

Fund: Project supported by the Doctor Foundation of Southwest University of Science and Technology of China (Grant No. 08zx7108).

Cite this article:

Guo Feng(郭锋), Zhou Yu-Rong(周玉荣), and Zhang Yu(张宇) Stochastic resonance in a time-delayed bistable system subject to multiplicative and additive noise 2010 Chin. Phys. B 19 070504

[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]	Steve G, Ivan L and Andre L 1999 Phys. Rev. E 59 3970
[4]	Frank T D 2005 Phys. Rev. E 71 031106
[5]	Zeng C H, Sun Y L and Chen G X 2009 Mod. Phys. Lett. B 23 2281
[6]	Du X J 2009 Chin. Phys. B 18 70
[7]	Du L C and Mei D C 2009 Chin. Phys. B 18 946
[8]	Guo Y F and Xu W 2008 Acta Phys. Sin. 57 6081 (in Chinese)
[9]	Zeng C H and Xie C W 2008 Chin. Phys. Lett. 25 1587
[10]	Novikov E A 1964 Eksp. Teor. Fiz. 47 1919
[11]	Novikov E A 1964 Sov. Phys. JETP 20 1290
[12]	Fox R F 1986 Phys. Rev. A 34 4525
[13]	McNamara B and Wiesenfeld K 1989 Phys. Rev. A 39 4854
[14]	Ginzburg S L and Pustovoit M A 2002 Phys. Rev. E 66 021107
[15]	Zeng W M 1999 Phys. Rev. A 44 6443
[16]	Gitterman M 2003 Phys. Rev. E 67 057103
[17]	Guo F, Zhou Y R, Jiang S Q and Gu T X 2006 J. Phys. A 39 13861 endfootnotesize

[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!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Stochastic resonance in a time-delayed bistable system subject to multiplicative and additive noise

Cite this article:

Online attention