| A method of moments for calculating dynamic responses beyond linear response theory |
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| 引用本文： | 康艳梅,徐健学,谢勇. A method of moments for calculating dynamic responses beyond linear response theory[J]. 中国物理, 2005, 14(9): 1691-1697 |
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| 作者姓名： | 康艳梅 徐健学 谢勇 |
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| 作者单位： | Institute of Information & System Science, School of Science,Xi'an Jiaotong University, Xi'an 710049, China；Institute of Nonlinear Dynamics, School of Architectural Engineering & Mechanics,Xi'an Jiaotong University, Xi'an 710049, China;Institute of Nonlinear Dynamics, School of Architectural Engineering & Mechanics,Xi'an Jiaotong University, Xi'an 710049, China;Institute of Nonlinear Dynamics, School of Architectural Engineering & Mechanics,Xi'an Jiaotong University, Xi'an 710049, China |
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| 基金项目： | Project supported by BH foundation of XJTU and the major program of the National Natural Science Foundation of China (Grant No 10432010). |
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| 摘 要： |
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| 关 键 词： | 动态磁化系数 光谱 动态响应 随机响应 |
| 文章编号： | 1009-1963/2005/14（09）/1691-07 |
| 收稿时间： | 2005-03-18 |
| 修稿时间： | 2005-03-182005-05-28 |
A method of moments for calculating dynamic responses beyond linear response theory |
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| Kang Yan-Mei,Xu Jian-Xue and Xie Yong. A method of moments for calculating dynamic responses beyond linear response theory[J]. Chinese Physics, 2005, 14(9): 1691-1697 |
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| Authors: | Kang Yan-Mei Xu Jian-Xue Xie Yong |
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| Affiliation: | Institute of Information & System Science, School of Science,Xi'an Jiaotong University, Xi'an 710049, China；Institute of Nonlinear Dynamics, School of Architectural Engineering & Mechanics,Xi'an Jiaotong University, Xi'an 710049, China; Institute of Nonlinear Dynamics, School of Architectural Engineering & Mechanics,Xi'an Jiaotong University, Xi'an 710049, China |
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| Abstract: | A method of moments for calculating the dynamic response of periodically driven overdamped nonlinear stochastic systems in the general response sense is proposed, which is a modification of the method of moments confined within linear response theory. The calculating experience suggests that theproposed technique is simple and efficient in implementation, and the comparison with stochastic simulation shows that the first three orders of susceptibilities calculated by the proposed technique have high accuracy. The dependence of the spectral amplification parameters at the first threeharmonics on the noise intensity is also investigated, and another observed phenomenon of stochastic resonance in the systems induced by the location of a single periodic orbit is disclosed and explained. |
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| Keywords: | a method of moments dynamic susceptibility spectral amplification factor stochastic resonance |
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