Chin. Phys. B ›› 2012, Vol. 21 ›› Issue (12): 120502-120502.doi: 10.1088/1674-1056/21/12/120502

• GENERAL • 上一篇    下一篇

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

张良英a, 金国祥b, 曹力c, 汪志云a   

  1. 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
  • 收稿日期:2012-04-10 修回日期:2012-05-15 出版日期:2012-11-01 发布日期:2012-11-01
  • 基金资助:
    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).

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   

  1. 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
  • Received:2012-04-10 Revised:2012-05-15 Online:2012-11-01 Published:2012-11-01
  • Contact: Zhang Ling-Ying E-mail:ly850@sohu.com
  • Supported by:
    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).

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摘要： 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.

关键词: frequency noise, the first moment, stochastic resonance

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.

Key words: frequency noise, the first moment, stochastic resonance

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)