Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback

doi:10.1088/1674-1056/ab7e9f

中国物理B ›› 2020, Vol. 29 ›› Issue (5): 50501-050501.doi: 10.1088/1674-1056/ab7e9f

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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)

School of Physics and Electronics, Central South University, Changsha 410083, China

收稿日期:2020-02-19 修回日期:2020-03-04 出版日期:2020-05-05 发布日期:2020-05-05
通讯作者: Xue-Mei Xu E-mail:xuxuemei999@126.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 60551002) and the Natural Science Foundation of Hunan Province, China (Grant No. 2018JJ3680).

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)

School of Physics and Electronics, Central South University, Changsha 410083, China

Received:2020-02-19 Revised:2020-03-04 Online:2020-05-05 Published:2020-05-05
Contact: Xue-Mei Xu E-mail:xuxuemei999@126.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 60551002) and the Natural Science Foundation of Hunan Province, China (Grant No. 2018JJ3680).

摘要/Abstract

摘要： Based on adiabatic approximation theory, in this paper we study the asymmetric stochastic resonance system with time-delayed feedback driven by non-Gaussian colored noise. The analytical expressions of the mean first-passage time (MFPT) and output signal-to-noise ratio (SNR) are derived by using a path integral approach, unified colored-noise approximation (UCNA), and small delay approximation. The effects of time-delayed feedback and non-Gaussian colored noise on the output SNR are analyzed. Moreover, three types of asymmetric potential function characteristics are thoroughly discussed. And they are well-depth asymmetry (DASR), well-width asymmetry (WASR), and synchronous action of well-depth and well-width asymmetry (DWASR), respectively. The conclusion of this paper is that the time-delayed feedback can suppress SR, however, the non-Gaussian noise deviation parameter has the opposite effect. Moreover, the correlation time plays a significant role in improving SNR, and the SNR of asymmetric stochastic resonance is higher than that of symmetric stochastic resonance. Our experiments demonstrate that the appropriate parameters can make the asymmetric stochastic resonance perform better to detect weak signals than the symmetric stochastic resonance, in which no matter whether these signals have low frequency or high frequency, accompanied by strong or weak noise.

关键词: asymmetric stochastic resonance, time-delayed feedback, non-Gaussian colored noise, weak signal detection

Abstract: Based on adiabatic approximation theory, in this paper we study the asymmetric stochastic resonance system with time-delayed feedback driven by non-Gaussian colored noise. The analytical expressions of the mean first-passage time (MFPT) and output signal-to-noise ratio (SNR) are derived by using a path integral approach, unified colored-noise approximation (UCNA), and small delay approximation. The effects of time-delayed feedback and non-Gaussian colored noise on the output SNR are analyzed. Moreover, three types of asymmetric potential function characteristics are thoroughly discussed. And they are well-depth asymmetry (DASR), well-width asymmetry (WASR), and synchronous action of well-depth and well-width asymmetry (DWASR), respectively. The conclusion of this paper is that the time-delayed feedback can suppress SR, however, the non-Gaussian noise deviation parameter has the opposite effect. Moreover, the correlation time plays a significant role in improving SNR, and the SNR of asymmetric stochastic resonance is higher than that of symmetric stochastic resonance. Our experiments demonstrate that the appropriate parameters can make the asymmetric stochastic resonance perform better to detect weak signals than the symmetric stochastic resonance, in which no matter whether these signals have low frequency or high frequency, accompanied by strong or weak noise.

Key words: asymmetric stochastic resonance, time-delayed feedback, non-Gaussian colored noise, weak signal detection

中图分类号: (Fluctuation phenomena, random processes, noise, and Brownian motion)

05.40.-a

02.50.-r (Probability theory, stochastic processes, and statistics)

石婷婷, 许雪梅, 孙克辉, 丁一鹏, 黄国伟. Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback[J]. 中国物理B, 2020, 29(5): 50501-050501.

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). Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback[J]. Chin. Phys. B, 2020, 29(5): 50501-050501.

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Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback

Asymmetric stochastic resonance under non-Gaussian colored noise and time-delayed feedback

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