Averaging and Perturbation from a Geometric Viewpoint
Averaging and Perturbation from a Geometric Viewpoint
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从几何角度看平均和扰动
DOI：
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发表时间：
1983
期刊：
影响因子：
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通讯作者：
P. Holmes
中科院分区：
文献类型：
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作者：
J. Guckenheimer;P. Holmes
在这一章中，我们描述了一些经典的分析方法，这些方法特别适用于非线性振动问题。虽然这些方法可能是熟悉的读者谁研究了非线性力学和微扰理论，目前的几何方法和应力获得近似庞加莱映射可能不太熟悉。
In this chapter we describe some classical methods of analysis which are particularly applicable to problems in nonlinear oscillations. While these methods might be familiar to the reader who has studied nonlinear mechanics and perturbation theory, the present geometrical approach and the stress on obtaining approximations to Poincare maps will probably be less familiar.