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Stochastic resonance of a damped oscillator with frequency fluctuation driven by a periodic external force |
| Zhang Ling-Ying (张良英)a, Jin Guo-Xiang (金国祥)b, Cao Li (曹力)c, Wang Zhi-Yun (汪志云)a |
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 |
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Abstract 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.
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Received: 10 April 2012
Revised: 15 May 2012
Accepted manuscript online:
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PACS:
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05.40.-a
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(Fluctuation phenomena, random processes, noise, and Brownian motion)
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02.50.-r
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(Probability theory, stochastic processes, and statistics)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11045004) and the Key Program of the Scientific Research Foundation of the Education Bureau of Hubei Province, Chain (Grant No. D20101506). |
Corresponding Authors:
Zhang Ling-Ying
E-mail: ly850@sohu.com
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Cite this article:
Zhang Ling-Ying (张良英), Jin Guo-Xiang (金国祥), Cao Li (曹力), Wang Zhi-Yun (汪志云) Stochastic resonance of a damped oscillator with frequency fluctuation driven by a periodic external force 2012 Chin. Phys. B 21 120502
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