A method of moments for calculating dynamic responses beyond linear response theory
Kang Yan-Mei (康艳梅)ab, Xu Jian-Xue (徐健学)b, Xie Yong (谢勇)b
a Institute of Information & System Science, School of Science,Xi'an Jiaotong University, Xi'an 710049, Chinab Institute of Nonlinear Dynamics, School of Architectural Engineering & Mechanics, Xi'an Jiaotong University, Xi'an 710049, China
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 the proposed 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 three harmonics 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.
Received: 18 March 2005
Revised: 28 May 2005
Accepted manuscript online:
Fund: Project supported by BH foundation of XJTU and the major program of the National Natural Science Foundation of China (Grant No 10432010).
Cite this article:
Kang Yan-Mei (康艳梅), Xu Jian-Xue (徐健学), Xie Yong (谢勇) A method of moments for calculating dynamic responses beyond linear response theory 2005 Chinese Physics 14 1691
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