Stochastic resonance of a damped oscillator with frequency fluctuation driven by a periodic external force

Considering a damped linear oscillator model subjected to a white noise with an inherent angular frequency and a periodic external driving force, we derive the analytic expression of the first moment of output response, and study the stochastic resonance phenomenon in a system. The results show that...

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Bibliographic Details
Published inChinese physics B Vol. 21; no. 12; pp. 104 - 108
Main Author 张良英 金国祥 曹力 汪志云
Format Journal Article
LanguageEnglish
Published 01.12.2012
Subjects
Amplitudes
Exact solutions
Fluctuation
Harmonics
Mathematical analysis
Oscillators
Stochastic resonance
Vibration
White noise
周期性
外力
振荡频率
解析表达式
输出响应
阻尼
随机共振
驱动频率
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Summary:Considering a damped linear oscillator model subjected to a white noise with an inherent angular frequency and a periodic external driving force, we derive the analytic expression of the first moment of output response, and study the stochastic resonance phenomenon in a system. The results show that the output response of this system behaves as a simple harmonic vibration, of which the frequency is the same as the external driving frequency, and the variations of amplitude with the driving frequency and the inherent frequency present a bona fide stochastic resonance.
Bibliography:Zhang Ling-Ying, Jin Guo-Xiang, Cao Li, and Wang Zhi-Yun a） School of Physics and Electronic Engineering, Hubei University of Arts and Science, Xiangyang 441053, China b） School of Computer Science and Engineering, Wuhan Institute of Technology, Wuhan 430073, China c） School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
frequency noise, the first moment, stochastic resonance
Considering a damped linear oscillator model subjected to a white noise with an inherent angular frequency and a periodic external driving force, we derive the analytic expression of the first moment of output response, and study the stochastic resonance phenomenon in a system. The results show that the output response of this system behaves as a simple harmonic vibration, of which the frequency is the same as the external driving frequency, and the variations of amplitude with the driving frequency and the inherent frequency present a bona fide stochastic resonance.
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/12/120502