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频率涨落线性谐振子在简谐激励下的随机共振
引用本文:张良英,金国祥,曹力. 频率涨落线性谐振子在简谐激励下的随机共振[J]. 云南大学学报(自然科学版), 2012, 0(6): 669-672,678
作者姓名:张良英  金国祥  曹力
作者单位:1. 湖北文理学院 物理与电子工程学院, 湖北 襄阳 441053;2. 武汉工程大学 计算机科学与工程学院, 湖北 武汉 430073;3. 华中科技大学 物理学院, 湖北 武汉 430074
基金项目:国家自然科学基金资助项目(11045004); 湖北省教育厅科研基金资助项目(D20101506).
摘    要:研究了线性谐振子在固有频率存在白噪声的情况下受到简谐激励后的系统输出响应.计算出一阶矩的解析表达式后发现:输出响应是简谐振动,振动频率是激励力的频率,振幅随简谐激励力频率和固有频率的变化均出现随机共振.

关 键 词:频率噪声  一阶矩  随机共振

On stochastic resonance of linear harmonic oscillator with frequency fluctuation influenced by simple harmonic excitation
ZHANG Liang-ying,JIN Guo-xiang,CAO Li. On stochastic resonance of linear harmonic oscillator with frequency fluctuation influenced by simple harmonic excitation[J]. Journal of Yunnan University(Natural Sciences), 2012, 0(6): 669-672,678
Authors:ZHANG Liang-ying  JIN Guo-xiang  CAO Li
Affiliation:1. School of Physics and Electronic Engineering, Hubei University if Arts and Science, Xiangyang 441053, China;2. School of Computer Science and Engineering, Wuhan Institute of Technology, Wuhan 430073, China;3. School of Physics, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract:We explored the system output response of the linear harmonic oscillator in the natural frequency influenced by the white noise and the simple harmonic excitation conditions,and found that the output response was a simple harmonic vibration,and the vibration frequency was an excitation force frequency.The amplitude showed that stochastic resonances occured with the variations of the frequency of the simple harmonic excitation force and the natural frequency via the calculation of the analytic expressions of the first-order moment.
Keywords:frequency noise  first-order moments  stochastic resonance
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