Normally Hyperbolic Invariant Manifolds

Name: Normally Hyperbolic Invariant Manifolds
Brand: Atlantis Press (Zeger Karssen)
SKU: 9789462390027
Price: 52.65 EUR
Availability: InStock

The Noncompact Case

Автор: Jaap Eldering

Език:

Корици: С твърди корици

Издател: Atlantis Press (Zeger Karssen)

Наличност: Външен склад

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52.65 € 102.98 лв

This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These...

Информация за книгата

Автор

Jaap Eldering

Език

Английски език

Корици

Книга - С твърди корици

Издадена

2013

страници

189

EAN

9789462390027

ISBN

9462390029

Enbook ID

01980857

Издател

Atlantis Press (Zeger Karssen)

Теглоt

4321

Размери

155 x 235 x 16

Пълно описание

This monograph treats normally hyperbolic invariant manifolds, with a focus on noncompactness. These objects generalize hyperbolic fixed points and are ubiquitous in dynamical systems.§First, normally hyperbolic invariant manifolds and their relation to hyperbolic fixed points and center manifolds, as well as, overviews of history and methods of proofs are presented. Furthermore, issues (such as uniformity and bounded geometry) arising due to noncompactness are discussed in great detail with examples.§The main new result shown is a proof of persistence for noncompact normally hyperbolic invariant manifolds in Riemannian manifolds of bounded geometry. This extends well-known results by Fenichel and Hirsch, Pugh and Shub, and is complementary to noncompactness results in Banach spaces by Bates, Lu and Zeng. Along the way, some new results in bounded geometry are obtained and a framework is developed to analyze ODEs in a differential geometric context.§Finally, the main result is extended to time and parameter dependent systems and overflowing invariant manifolds.

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Normally Hyperbolic Invariant Manifolds

The Noncompact Case

Информация за книгата

Пълно описание

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