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具有频率涨落的简谐力激励下线性谐振子的随机共振
引用本文:张良英,金国祥,曹力.具有频率涨落的简谐力激励下线性谐振子的随机共振[J].物理学报,2012,61(8):80502-080502.
作者姓名:张良英  金国祥  曹力
作者单位:1. 襄樊学院物理与电子工程学院,襄樊,441053
2. 武汉工程大学智能机器人湖北省重点实验室,武汉,430073
3. 华中科技大学物理学院,武汉,430074
基金项目:国家自然科学基金(批准号: 11045004)和湖北省教育厅科研基金重点项目 (批准号: D20101506)资助的课题.
摘    要:针对线性谐振子受到具有频率涨落的简谐力激励的情况, 计算出系统响应的一阶矩解析表达式.研究发现系统的输出响应以固有频率振动, 响应振幅随简谐激励力频率的变化出现"真实"随机共振,随固有频率的变化出现抑制和 共振两种现象.

关 键 词:频率噪声  一阶矩  随机共振
收稿时间:2011-05-29

Stochastic resonance of linear harmonic oscillator subjected to simple harmonic force with frequency fluctuation
Zhang Liang-Ying,Jin Guo-Xiang,Cao Li.Stochastic resonance of linear harmonic oscillator subjected to simple harmonic force with frequency fluctuation[J].Acta Physica Sinica,2012,61(8):80502-080502.
Authors:Zhang Liang-Ying  Jin Guo-Xiang  Cao Li
Institution:1. School of Physics and Electronic Engineering, Xiangfan University, Xiangfan 441053, China;2. Key Laboratory of Intelligent Robot of Hubei Province, Wuhan Institute of Technology, Wuhan 430073, China;3. School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:In view of the situation that the linear harmonic oscillator is subjected to the simple harmonic force with the frequency fluctuation, we work out the expression of the first-order moment for the system response. It is found that the system output response vibrates at the natural frequency, that the response amplitude shows bona-fide stochastic resonance as the simple harmonic excitation force frequency varies, and that the suppression and the resonance appears as the natural frequency varies.
Keywords:frequency noise  first-order moments  stochastic resonance
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