Exotic attractors: from Liapunov stability to riddled basins
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | German |
| Veröffentlicht: |
Basel ; Boston ; Berlin
Birkhäuser
1997
|
| Schriftenreihe: | Progress in mathematics
153 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIII, 130 S. Ill., graph. Darst |
| ISBN: | 3764357932 0817657932 |
Internformat
MARC
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| 100 | 1 | |a Buescu, Jorge |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Exotic attractors |b from Liapunov stability to riddled basins |c Jorge Buescu |
| 264 | 1 | |a Basel ; Boston ; Berlin |b Birkhäuser |c 1997 | |
| 300 | |a XIII, 130 S. |b Ill., graph. Darst | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in mathematics |v 153 | |
| 502 | |a Zugl.: Warwick, Univ., Diss. | ||
| 650 | 7 | |a Attracteurs étranges |2 ram | |
| 650 | 7 | |a attracteur |2 inriac | |
| 650 | 7 | |a chaos |2 inriac | |
| 650 | 7 | |a instabilité |2 inriac | |
| 650 | 7 | |a stabilité Lyapunov |2 inriac | |
| 650 | 7 | |a système dynamique différentiable |2 inriac | |
| 650 | 7 | |a système dynamique |2 inriac | |
| 650 | 4 | |a Attractors (Mathematics) | |
| 650 | 0 | 7 | |a Attraktor |0 (DE-588)4140563-8 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a Progress in mathematics |v 153 |w (DE-604)BV000004120 |9 153 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-007755321 | ||
Datensatz im Suchindex
| _version_ | 1804126044564750336 |
|---|---|
| adam_text | Contents
Preface ix
1 Attractors in Dynamical Systems
1.1 Introduction 1
1.2 Basic definitions 2
1.3 Topological and dynamical consequences 5
1.4 Attractors 14
1.5 Examples and counterexamples 19
1.6 Historical remarks and further comments 26
2 Liapunov Stability and Adding Machines
2.1 Introduction 35
2.2 Adding Machines and Denjoy maps 37
2.3 Stable Cantor sets are Adding Machines 39
2.4 Adding Machines and periodic points: interval maps 45
2.5 Interlude: Adding Machines as inverse limits 48
2.6 Stable a limit sets are Adding Machines 50
2.7 Classification of Adding Machines 54
2.8 Existence of Stable Adding Machines 57
2.9 Historical remarks and further comments 60
3 From Attractor to Chaotic Saddle:
a journey through transverse instability
3.1 Introduction 65
3.1.1 Riddled and locally riddled basins 67
3.1.2 Symmetry and invariant submanifolds 68
vii
viii Contents
3.2 Normal Liapunov exponents and stability indices 69
3.2.1 Normal Liapunov exponents 69
3.2.2 The normal Liapunov spectrum 72
3.2.3 Stability indices 76
3.2.4 Chaotic saddles 82
3.2.5 Strong SBR measures 83
3.2.6 Classification by normal spectrum 86
3.3 Normal parameters and normal stability 86
3.3.1 Parameter dependence of the normal spectrum 87
3.3.2 Global behaviour near bifurcations 92
3.4 Example: Z2 symmetric maps on M2 92
3.4.1 The spectrum of normal Liapunov exponents 93
3.4.2 Global transverse stability for / 94
3.4.3 Global transverse stability for g 103
3.5 Example: synchronization of coupled systems 103
3.5.1 Electronic experiments 105
3.5.2 Observations 107
3.5.3 Analysis of the dynamics 107
3.6 Historical remarks and further comments 115
Bibliography 121
Index 129
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| discipline | Mathematik |
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| id | DE-604.BV011523898 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:11:12Z |
| institution | BVB |
| isbn | 3764357932 0817657932 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007755321 |
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| physical | XIII, 130 S. Ill., graph. Darst |
| publishDate | 1997 |
| publishDateSearch | 1997 |
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| publisher | Birkhäuser |
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| series | Progress in mathematics |
| series2 | Progress in mathematics |
| spelling | Buescu, Jorge Verfasser aut Exotic attractors from Liapunov stability to riddled basins Jorge Buescu Basel ; Boston ; Berlin Birkhäuser 1997 XIII, 130 S. Ill., graph. Darst txt rdacontent n rdamedia nc rdacarrier Progress in mathematics 153 Zugl.: Warwick, Univ., Diss. Attracteurs étranges ram attracteur inriac chaos inriac instabilité inriac stabilité Lyapunov inriac système dynamique différentiable inriac système dynamique inriac Attractors (Mathematics) Attraktor (DE-588)4140563-8 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Attraktor (DE-588)4140563-8 s DE-604 Progress in mathematics 153 (DE-604)BV000004120 153 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007755321&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Buescu, Jorge Exotic attractors from Liapunov stability to riddled basins Progress in mathematics Attracteurs étranges ram attracteur inriac chaos inriac instabilité inriac stabilité Lyapunov inriac système dynamique différentiable inriac système dynamique inriac Attractors (Mathematics) Attraktor (DE-588)4140563-8 gnd |
| subject_GND | (DE-588)4140563-8 (DE-588)4113937-9 |
| title | Exotic attractors from Liapunov stability to riddled basins |
| title_auth | Exotic attractors from Liapunov stability to riddled basins |
| title_exact_search | Exotic attractors from Liapunov stability to riddled basins |
| title_full | Exotic attractors from Liapunov stability to riddled basins Jorge Buescu |
| title_fullStr | Exotic attractors from Liapunov stability to riddled basins Jorge Buescu |
| title_full_unstemmed | Exotic attractors from Liapunov stability to riddled basins Jorge Buescu |
| title_short | Exotic attractors |
| title_sort | exotic attractors from liapunov stability to riddled basins |
| title_sub | from Liapunov stability to riddled basins |
| topic | Attracteurs étranges ram attracteur inriac chaos inriac instabilité inriac stabilité Lyapunov inriac système dynamique différentiable inriac système dynamique inriac Attractors (Mathematics) Attraktor (DE-588)4140563-8 gnd |
| topic_facet | Attracteurs étranges attracteur chaos instabilité stabilité Lyapunov système dynamique différentiable système dynamique Attractors (Mathematics) Attraktor Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007755321&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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