Stochastic resonance in an under-damped bistable system driven by harmonic mixing signal

doi:10.1088/1674-1056/27/5/050501

中国物理B ›› 2018, Vol. 27 ›› Issue (5): 50501-050501.doi: 10.1088/1674-1056/27/5/050501

Stochastic resonance in an under-damped bistable system driven by harmonic mixing signal

Yan-Fei Jin(靳艳飞)

Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2018-01-05 修回日期:2018-02-09 出版日期:2018-05-05 发布日期:2018-05-05
通讯作者: Yan-Fei Jin E-mail:jinyf@bit.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.11772048).

Stochastic resonance in an under-damped bistable system driven by harmonic mixing signal

Yan-Fei Jin(靳艳飞)

Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China

Received:2018-01-05 Revised:2018-02-09 Online:2018-05-05 Published:2018-05-05
Contact: Yan-Fei Jin E-mail:jinyf@bit.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.11772048).

摘要/Abstract

摘要： Stochastic resonance (SR) is studied in an under-damped bistable system driven by the harmonic mixing signal and Gaussian white noise. Using the linear response theory (LRT), the expressions of the spectral amplification at fundamental and higher-order harmonic are obtained. The effects of damping coefficient, noise intensity, signal amplitude, and frequency on spectral amplifications are explored. Meanwhile, the power spectral density (PSD) and signal-to-noise ratio (SNR) are calculated to quantify SR and verify the theoretical results. The SNRs at the first and second harmonics exhibit a minimum first and a maximum later with increasing noise intensity. That is, both of the noise-induced suppression and resonance can be observed by choosing proper system parameters. Especially, when the ratio of the second harmonic amplitude to the fundamental one takes a large value, the SNR at the fundamental harmonic is a monotonic function of noise intensity and the SR phenomenon disappears.

关键词: stochastic resonance, under-damped bistable system, spectral amplification, harmonic mixing signal

Abstract: Stochastic resonance (SR) is studied in an under-damped bistable system driven by the harmonic mixing signal and Gaussian white noise. Using the linear response theory (LRT), the expressions of the spectral amplification at fundamental and higher-order harmonic are obtained. The effects of damping coefficient, noise intensity, signal amplitude, and frequency on spectral amplifications are explored. Meanwhile, the power spectral density (PSD) and signal-to-noise ratio (SNR) are calculated to quantify SR and verify the theoretical results. The SNRs at the first and second harmonics exhibit a minimum first and a maximum later with increasing noise intensity. That is, both of the noise-induced suppression and resonance can be observed by choosing proper system parameters. Especially, when the ratio of the second harmonic amplitude to the fundamental one takes a large value, the SNR at the fundamental harmonic is a monotonic function of noise intensity and the SR phenomenon disappears.

Key words: stochastic resonance, under-damped bistable system, spectral amplification, harmonic mixing signal

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)

靳艳飞. Stochastic resonance in an under-damped bistable system driven by harmonic mixing signal[J]. 中国物理B, 2018, 27(5): 50501-050501.

Yan-Fei Jin(靳艳飞). Stochastic resonance in an under-damped bistable system driven by harmonic mixing signal[J]. Chin. Phys. B, 2018, 27(5): 50501-050501.

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Stochastic resonance in an under-damped bistable system driven by harmonic mixing signal

Stochastic resonance in an under-damped bistable system driven by harmonic mixing signal

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