عنوان

Normally hyperbolic invariant manifolds

شابک

9462390037 (electronic bk.)

شابک

9789462390034 (electronic bk.)

شابک اشتباه

9789462390027

شابک اشتباه

9789462390034

شماره

b424212

عنوان اصلي

Normally hyperbolic invariant manifolds

نام عام مواد

[Book]

ساير اطلاعات عنواني

the noncompact case /

نام نخستين پديدآور

Jaap Eldering

محل نشرو پخش و غیره

New York :

نام ناشر، پخش کننده و غيره

Atlantis Press,

تاریخ نشرو بخش و غیره

c2013

نام خاص و کميت اثر

1 online resource (xii, 189 pages) :

ساير جزييات

illustrations

عنوان فروست

Atlantis series in dynamical systems,

مشخصه جلد

v. 2

شاپا ي ISSN فروست

2213-3526 ;

متن يادداشت

Includes bibliographical references and index

متن يادداشت

Introduction -- Manifolds of bounded geometry -- Persistence of noncompact NHIMs -- Extension of results

بدون عنوان

0

متن يادداشت

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

عنوان

OhioLINK electronic book center (Online)

عنوان

SpringerLink

موضوع مستند نشده

Geometry, Differential

موضوع مستند نشده

Hyperbolic spaces

موضوع مستند نشده

Invariant manifolds

شماره

ويراست

شماره رده

شماره رده

نشانه اثر

نشانه اثر

مستند نام اشخاص تاييد نشده

Eldering, Jaap

مستند نام تنالگان تاييد نشده

Ohio Library and Information Network

تاريخ عمليات

20131202122228.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y