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

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Wiggins, Stephen

Springer Verlag

1994-6

204

$ 111.87

HRD

Applied Mathematical Sciences

9780387942056

图书标签: 数学学术书籍 mathematics ODE&几何

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发表于2024-11-25

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

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

图书描述

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.

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