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Normally Hyperbolic Invariant Manifolds in Dynamical Systems

Name: Normally Hyperbolic Invariant Manifolds in Dynamical Systems
Brand: Springer-Verlag New York Inc.
SKU: 02643469
Price: 19877 HUF
Availability: InStock
Author: Stephen Wiggins
ISBN: 9781461287346

Stephen Wiggins

G. Haller

I. Mezic

Language

English

Book Paperback

Libristo code: 02643469

Publishers Springer-Verlag New York Inc., November 2013

In the past ten years, there has been much progress in understanding the global dynamics of systems... Full description

Libristo code: 02643469

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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.