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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: 9780387942056
Price: 59.22 EUR
Availability: InStock

Автор: Stephen Wiggins

Език:

Корици: С твърди корици

Издател: Springer-Verlag New York Inc.

Наличност: Външен склад в ограничено количество

Изпращаме след 13-18 дни

59.22 € 115.83 лв

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

Информация за книгата

Автор

Stephen Wiggins

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1994

страници

194

EAN

9780387942056

ISBN

9780387942056

Enbook ID

07184236

Издател

Springer-Verlag New York Inc.

Теглоt

1040

Размери

155 x 235 x 13

Пълно описание

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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Normally Hyperbolic Invariant Manifolds in Dynamical Systems

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