Geometric singular perturbation theory
Geometric singular perturbation theory
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DOI：
10.1007/bfb0095239
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
C. Jones
中科院分区：
文献类型：
--
作者：
C. Jones
这些讲座的目的是阐述奇异摄动问题的几何方法。奇摄动方程由于存在不同的时间尺度而获得其特殊的结构。他们分析的基本工具，从这里的角度来看，是芬尼切尔的定理集。第一步是解释这些定理及其意义。同时，对Fenichel的三个主要结果进行新的证明。
The goal of these lectures is an exposition of the geometric approach to singular perturbation problems. Singularly perturbed equations gain their special structure from the presence of differing time scales. The fundamental tool in their analysis, from the perspective taken here, is the set of theorems due to Fenichel. The first step is then to explain these theorems and their significance. At the same time, new proofs of Fenichel's three main results will be outlined.