Normally hyperbolic invariant manifolds: the noncompact case
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Paris
Atlantis Press
2013
|
| Schriftenreihe: | Atlantis series in dynamical systems
2 |
| Schlagworte: | |
| Online-Zugang: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9789462390027 9789462390034 |
| DOI: | 10.2991/978-94-6239-003-4 |
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Datensatz im Suchindex
| _version_ | 1804151473229004800 |
|---|---|
| adam_text | NORMALLY HYPERBOLIC INVARIANT MANIFOLDS
/ ELDERING, JAAP
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
MANIFOLDS OF BOUNDED GEOMETRY
PERSISTENCE OF NONCOMPACT NHIMS
EXTENSION OF RESULTS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
NORMALLY HYPERBOLIC INVARIANT MANIFOLDS
/ ELDERING, JAAP
: 2013
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Eldering, Jaap |
| author_facet | Eldering, Jaap |
| author_role | aut |
| author_sort | Eldering, Jaap |
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| ctrlnum | (OCoLC)858025588 (DE-599)DNB1038481619 |
| discipline | Mathematik |
| doi_str_mv | 10.2991/978-94-6239-003-4 |
| format | Electronic eBook |
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| series2 | Atlantis series in dynamical systems |
| spelling | Eldering, Jaap Verfasser aut Normally hyperbolic invariant manifolds the noncompact case Jaap Eldering Paris Atlantis Press 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Atlantis series in dynamical systems 2 Dynamisches System (DE-588)4013396-5 gnd rswk-swf Invariante Mannigfaltigkeit (DE-588)4348147-4 gnd rswk-swf Dynamisches System (DE-588)4013396-5 s Invariante Mannigfaltigkeit (DE-588)4348147-4 s DE-604 Atlantis series in dynamical systems 2 (DE-604)BV045251618 2 https://doi.org/10.2991/978-94-6239-003-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026826694&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026826694&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Eldering, Jaap Normally hyperbolic invariant manifolds the noncompact case Atlantis series in dynamical systems Dynamisches System (DE-588)4013396-5 gnd Invariante Mannigfaltigkeit (DE-588)4348147-4 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4348147-4 |
| title | Normally hyperbolic invariant manifolds the noncompact case |
| title_auth | Normally hyperbolic invariant manifolds the noncompact case |
| title_exact_search | Normally hyperbolic invariant manifolds the noncompact case |
| title_full | Normally hyperbolic invariant manifolds the noncompact case Jaap Eldering |
| title_fullStr | Normally hyperbolic invariant manifolds the noncompact case Jaap Eldering |
| title_full_unstemmed | Normally hyperbolic invariant manifolds the noncompact case Jaap Eldering |
| title_short | Normally hyperbolic invariant manifolds |
| title_sort | normally hyperbolic invariant manifolds the noncompact case |
| title_sub | the noncompact case |
| topic | Dynamisches System (DE-588)4013396-5 gnd Invariante Mannigfaltigkeit (DE-588)4348147-4 gnd |
| topic_facet | Dynamisches System Invariante Mannigfaltigkeit |
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