Stochastic resonance in coupled underdamped bistable systems driven by symmetric trichotomous noises

Ting Ting Yang; Hui Qing Zhang; Yong Xu; Wei Xu

doi:10.1016/j.ijnonlinmec.2014.07.008

Stochastic resonance in coupled underdamped bistable systems driven by symmetric trichotomous noises

Ting Ting Yang, Hui Qing Zhang, Yong Xu, Wei Xu

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

In this work, we analyze the phenomenon of stochastic resonance (SR) in coupled underdamped bistable systems induced by independent symmetric trichotomous noises. Firstly, the system is found to exhibit intermittent jumping motion between two wells in an optimal range of noise values. Then, the effects of noise on the output power spectrum of the system are characterized. It demonstrates that stochastic resonance behavior can occur above a particular value of noise strength. Finally, the signal-noise-ratio (SNR) for different parameters is computed numerically. Remarkably, for different parameters, a non-monotonic behavior of SNR is shown and the impacts of trichotomous noise and Gaussian white noise on the SNR curve are researched.

Original language	English
Pages (from-to)	42-47
Number of pages	6
Journal	International Journal of Non-Linear Mechanics
Volume	67
DOIs	https://doi.org/10.1016/j.ijnonlinmec.2014.07.008
State	Published - Dec 2014

Keywords

Coupled underdamped bistable systems
Signal-noise-ratio
Spectral power
Stochastic resonance
Symmetric trichotomous noise

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10.1016/j.ijnonlinmec.2014.07.008

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title = "Stochastic resonance in coupled underdamped bistable systems driven by symmetric trichotomous noises",

abstract = "In this work, we analyze the phenomenon of stochastic resonance (SR) in coupled underdamped bistable systems induced by independent symmetric trichotomous noises. Firstly, the system is found to exhibit intermittent jumping motion between two wells in an optimal range of noise values. Then, the effects of noise on the output power spectrum of the system are characterized. It demonstrates that stochastic resonance behavior can occur above a particular value of noise strength. Finally, the signal-noise-ratio (SNR) for different parameters is computed numerically. Remarkably, for different parameters, a non-monotonic behavior of SNR is shown and the impacts of trichotomous noise and Gaussian white noise on the SNR curve are researched.",

keywords = "Coupled underdamped bistable systems, Signal-noise-ratio, Spectral power, Stochastic resonance, Symmetric trichotomous noise",

author = "Yang, {Ting Ting} and Zhang, {Hui Qing} and Yong Xu and Wei Xu",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Ltd.",

year = "2014",

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doi = "10.1016/j.ijnonlinmec.2014.07.008",

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T1 - Stochastic resonance in coupled underdamped bistable systems driven by symmetric trichotomous noises

AU - Yang, Ting Ting

AU - Zhang, Hui Qing

AU - Xu, Yong

AU - Xu, Wei

PY - 2014/12

Y1 - 2014/12

N2 - In this work, we analyze the phenomenon of stochastic resonance (SR) in coupled underdamped bistable systems induced by independent symmetric trichotomous noises. Firstly, the system is found to exhibit intermittent jumping motion between two wells in an optimal range of noise values. Then, the effects of noise on the output power spectrum of the system are characterized. It demonstrates that stochastic resonance behavior can occur above a particular value of noise strength. Finally, the signal-noise-ratio (SNR) for different parameters is computed numerically. Remarkably, for different parameters, a non-monotonic behavior of SNR is shown and the impacts of trichotomous noise and Gaussian white noise on the SNR curve are researched.

AB - In this work, we analyze the phenomenon of stochastic resonance (SR) in coupled underdamped bistable systems induced by independent symmetric trichotomous noises. Firstly, the system is found to exhibit intermittent jumping motion between two wells in an optimal range of noise values. Then, the effects of noise on the output power spectrum of the system are characterized. It demonstrates that stochastic resonance behavior can occur above a particular value of noise strength. Finally, the signal-noise-ratio (SNR) for different parameters is computed numerically. Remarkably, for different parameters, a non-monotonic behavior of SNR is shown and the impacts of trichotomous noise and Gaussian white noise on the SNR curve are researched.

KW - Coupled underdamped bistable systems

KW - Signal-noise-ratio

KW - Spectral power

KW - Stochastic resonance

KW - Symmetric trichotomous noise

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DO - 10.1016/j.ijnonlinmec.2014.07.008

M3 - 文章

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SN - 0020-7462

VL - 67

SP - 42

EP - 47

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

ER -

Stochastic resonance in coupled underdamped bistable systems driven by symmetric trichotomous noises

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