Normally Hyperbolic Invariant Manifolds in Dynamical Systems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Wiggins, Stephen 作者

Springer Verlag

译者

1994-6 出版日期

204 页数

$ 111.87 价格

HRD

Applied Mathematical Sciences 丛书系列

9780387942056 图书编码

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Normally Hyperbolic Invariant Manifolds in Dynamical Systems 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Normally Hyperbolic Invariant Manifolds in Dynamical Systems 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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In the past ten years, there has been much progress in understanding the global dynamics of systems with several degrees-of-freedom. An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations of normally hyperbolic invariant manifolds. In recent years these techniques have been used for the development of global perturbation methods, the study of resonance phenomena in coupled oscillators, geometric singular perturbation theory, and the study of bursting phenomena in biological oscillators. "Invariant manifold theorems" have become standard tools for applied mathematicians, physicists, engineers, and virtually anyone working on nonlinear problems from a geometric viewpoint. In this book, the author gives a self-contained development of these ideas as well as proofs of the main theorems along the lines of the seminal works of Fenichel. In general, the Fenichel theory is very valuable for many applications, but it is not easy for people to get into from existing literature. This book provides an excellent avenue to that. Wiggins also describes a variety of settings where these techniques can be used in applications.

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