| 双稳系统的频率耦合与随机共振机理 |
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| 引用本文： | 林敏,孟莹.双稳系统的频率耦合与随机共振机理[J].物理学报,2010,59(6):3627-3632. |
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| 作者姓名： | 林敏 孟莹 |
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| 作者单位： | 中国计量学院计量测试工程学院，杭州 310018 |
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| 基金项目： | 国家自然科学基金(批准号:10972207)和浙江省自然科学基金(批准号: Y7080111)资助的课题. |
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| 摘 要： | 分析了处于双势阱中的粒子在单一频率信号和双频信号作用下的运动形式,给出在双频信号作用下双稳系统的响应幅值与激励幅值的近似解析关系,揭示了非线性系统所特有的不同频率之间的频率耦合现象和激励输入的频率能量向另一频率转移的渗透现象.从动力学机理和频谱分布的角度进行分析,深化了对双稳系统随机共振机理的认识.数值仿真结果证明了理论分析的有效性.
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| 关 键 词： | 双稳系统 频率耦合 渗透现象 随机共振 |
| 收稿时间： | 2009-08-21 |
Frequency coupling in bistable system and the mechanism of stochastic resonance |
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| Lin Min,Meng Ying.Frequency coupling in bistable system and the mechanism of stochastic resonance[J].Acta Physica Sinica,2010,59(6):3627-3632. |
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| Authors: | Lin Min Meng Ying |
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| Institution: | College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, China;College of Metrology and Measurement Engineering, China Jiliang University, Hangzhou 310018, China |
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| Abstract: | We study the motion of a particle in a bistable potential in the presence of single frequency signal and dual-frequency signal, and give the approximate analytical relationship between response peak-to-peak value and driven peak-to-peak value of the bistable system under the control of dual-frequency signal. The paper also reveals a peculiar phenomenon of the non-linear system, that is frequency coupling of different frequencies and the energy infiltration from the frequency of input to the other. The analysis is carried out from the view point of dynamics mechanism and the frequency spectrum distribution. It deepens the understanding of the mechanism of stochastic resonance in the bistable system. The results of numerical simulation prove the validity of theoretical analysis. |
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| Keywords: | bistable system frequency coupling infiltration phenomenon stochastic resonance |
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