Geometry in the neighborhood of invariant manifold, of maps and flows and linearization:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Harlow
Longman Scientific and Technical u.a.
1990
|
Ausgabe: | 1. publ. |
Schriftenreihe: | Pitman research notes in mathematics series
233 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | 89 S. |
ISBN: | 0582062683 |
Internformat
MARC
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100 | 1 | |a Kirchgraber, Urs |e Verfasser |4 aut | |
245 | 1 | 0 | |a Geometry in the neighborhood of invariant manifold, of maps and flows and linearization |c U. Kirchgraber ; K. J. Palmer |
250 | |a 1. publ. | ||
264 | 1 | |a Harlow |b Longman Scientific and Technical u.a. |c 1990 | |
300 | |a 89 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 1 | |a Pitman research notes in mathematics series |v 233 | |
650 | 7 | |a Applications (Mathématiques) |2 ram | |
650 | 4 | |a Système dynamique continu | |
650 | 4 | |a Système dynamique discret | |
650 | 7 | |a Systèmes dynamiques différentiables |2 ram | |
650 | 4 | |a Théorème Hartman-Grobman | |
650 | 4 | |a Differentiable dynamical systems | |
650 | 4 | |a Flows (Differentiable dynamical systems) | |
650 | 4 | |a Invariant manifolds | |
650 | 4 | |a Mappings (Mathematics) | |
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650 | 0 | 7 | |a Blätterung |0 (DE-588)4007006-2 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Abbildung |g Mathematik |0 (DE-588)4000044-8 |2 gnd |9 rswk-swf |
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689 | 0 | |5 DE-604 | |
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689 | 1 | 1 | |a Blätterung |0 (DE-588)4007006-2 |D s |
689 | 1 | |5 DE-604 | |
689 | 2 | 0 | |a Dynamisches System |0 (DE-588)4013396-5 |D s |
689 | 2 | 1 | |a Topologischer Raum |0 (DE-588)4137586-5 |D s |
689 | 2 | |5 DE-604 | |
700 | 1 | |a Palmer, K. J. |e Verfasser |4 aut | |
830 | 0 | |a Pitman research notes in mathematics series |v 233 |w (DE-604)BV000022845 |9 233 | |
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999 | |a oai:aleph.bib-bvb.de:BVB01-002550483 |
Datensatz im Suchindex
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adam_text | Contents
Introduction 1
Part I : Discrete Dynamical Systems
1. Introduction 3
2. Differential equations and maps 7
2.1 Euler s method 7
2.2 Lipschitz constants for maps 8
2.3 On a class of ODE s and the hypothesis H 9
3. The geometry in the neighborhood of an invariant manifold 13
3.1 The horizontal foliation 16
3.2 The vertical foliation 28
4. Topological conjugacy 42
5. Hyperbolic linear part 45
Part II: Continuous Dynamical Systems
Introduction 48
1. The Hartman-Grobman Theorem 53
2. A generalization of the Hartman-Grobman Theorem:
The horizontal foliation 59
3. The vertical foliation 75
4. The linearization 81
References 86
|
any_adam_object | 1 |
author | Kirchgraber, Urs Palmer, K. J. |
author_facet | Kirchgraber, Urs Palmer, K. J. |
author_role | aut aut |
author_sort | Kirchgraber, Urs |
author_variant | u k uk k j p kj kjp |
building | Verbundindex |
bvnumber | BV004083434 |
callnumber-first | Q - Science |
callnumber-label | QA614 |
callnumber-raw | QA614.8 |
callnumber-search | QA614.8 |
callnumber-sort | QA 3614.8 |
callnumber-subject | QA - Mathematics |
classification_rvk | SI 880 SK 810 |
ctrlnum | (OCoLC)20797224 (DE-599)BVBBV004083434 |
dewey-full | 514/.32 515/.352 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 514 - Topology 515 - Analysis |
dewey-raw | 514/.32 515/.352 |
dewey-search | 514/.32 515/.352 |
dewey-sort | 3514 232 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | 1. publ. |
format | Book |
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id | DE-604.BV004083434 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T16:08:14Z |
institution | BVB |
isbn | 0582062683 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002550483 |
oclc_num | 20797224 |
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owner_facet | DE-12 DE-384 DE-355 DE-BY-UBR DE-20 DE-739 DE-11 DE-634 |
physical | 89 S. |
publishDate | 1990 |
publishDateSearch | 1990 |
publishDateSort | 1990 |
publisher | Longman Scientific and Technical u.a. |
record_format | marc |
series | Pitman research notes in mathematics series |
series2 | Pitman research notes in mathematics series |
spelling | Kirchgraber, Urs Verfasser aut Geometry in the neighborhood of invariant manifold, of maps and flows and linearization U. Kirchgraber ; K. J. Palmer 1. publ. Harlow Longman Scientific and Technical u.a. 1990 89 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 233 Applications (Mathématiques) ram Système dynamique continu Système dynamique discret Systèmes dynamiques différentiables ram Théorème Hartman-Grobman Differentiable dynamical systems Flows (Differentiable dynamical systems) Invariant manifolds Mappings (Mathematics) Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Topologischer Raum (DE-588)4137586-5 gnd rswk-swf Blätterung (DE-588)4007006-2 gnd rswk-swf Abbildung Mathematik (DE-588)4000044-8 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 s Abbildung Mathematik (DE-588)4000044-8 s DE-604 Blätterung (DE-588)4007006-2 s Dynamisches System (DE-588)4013396-5 s Topologischer Raum (DE-588)4137586-5 s Palmer, K. J. Verfasser aut Pitman research notes in mathematics series 233 (DE-604)BV000022845 233 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002550483&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Kirchgraber, Urs Palmer, K. J. Geometry in the neighborhood of invariant manifold, of maps and flows and linearization Pitman research notes in mathematics series Applications (Mathématiques) ram Système dynamique continu Système dynamique discret Systèmes dynamiques différentiables ram Théorème Hartman-Grobman Differentiable dynamical systems Flows (Differentiable dynamical systems) Invariant manifolds Mappings (Mathematics) Differenzierbares dynamisches System (DE-588)4137931-7 gnd Dynamisches System (DE-588)4013396-5 gnd Topologischer Raum (DE-588)4137586-5 gnd Blätterung (DE-588)4007006-2 gnd Abbildung Mathematik (DE-588)4000044-8 gnd |
subject_GND | (DE-588)4137931-7 (DE-588)4013396-5 (DE-588)4137586-5 (DE-588)4007006-2 (DE-588)4000044-8 |
title | Geometry in the neighborhood of invariant manifold, of maps and flows and linearization |
title_auth | Geometry in the neighborhood of invariant manifold, of maps and flows and linearization |
title_exact_search | Geometry in the neighborhood of invariant manifold, of maps and flows and linearization |
title_full | Geometry in the neighborhood of invariant manifold, of maps and flows and linearization U. Kirchgraber ; K. J. Palmer |
title_fullStr | Geometry in the neighborhood of invariant manifold, of maps and flows and linearization U. Kirchgraber ; K. J. Palmer |
title_full_unstemmed | Geometry in the neighborhood of invariant manifold, of maps and flows and linearization U. Kirchgraber ; K. J. Palmer |
title_short | Geometry in the neighborhood of invariant manifold, of maps and flows and linearization |
title_sort | geometry in the neighborhood of invariant manifold of maps and flows and linearization |
topic | Applications (Mathématiques) ram Système dynamique continu Système dynamique discret Systèmes dynamiques différentiables ram Théorème Hartman-Grobman Differentiable dynamical systems Flows (Differentiable dynamical systems) Invariant manifolds Mappings (Mathematics) Differenzierbares dynamisches System (DE-588)4137931-7 gnd Dynamisches System (DE-588)4013396-5 gnd Topologischer Raum (DE-588)4137586-5 gnd Blätterung (DE-588)4007006-2 gnd Abbildung Mathematik (DE-588)4000044-8 gnd |
topic_facet | Applications (Mathématiques) Système dynamique continu Système dynamique discret Systèmes dynamiques différentiables Théorème Hartman-Grobman Differentiable dynamical systems Flows (Differentiable dynamical systems) Invariant manifolds Mappings (Mathematics) Differenzierbares dynamisches System Dynamisches System Topologischer Raum Blätterung Abbildung Mathematik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002550483&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000022845 |
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