Volume 105. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:9780387942056.

Bestandsnummer des Verk�ufers 9789689

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Bibliografische Details

Titel

Normally Hyperbolic Invariant Manifolds in Dynamical Systems (Applied Mathematical Sciences) (Volume 105)

Verlag

Springer

Erscheinungsjahr

1994

Sprache

Englisch

ISBN-10

038794205X

ISBN-13

9780387942056

Einband

Hardcover

Zustand

Fair

Gewicht

550 Gramm

Verk�uferkataloge

Mathematics

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Inhaltsangabe

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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