Coexistence and persistence of strange attractors:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1997
|
| Series: | Lecture notes in mathematics
1658 : Subseries: Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brasil |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 194 S. graph. Darst. |
| ISBN: | 3540627316 |
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MARC
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| 245 | 1 | 0 | |a Coexistence and persistence of strange attractors |c Antonio Pumariño ; J. Angel Rodriguez |
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Record in the Search Index
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| adam_text | Contents
Introduction 1
1 SADDLE FOCUS CONNECTIONS 11
2 THE UNIMODAL FAMILY 21
2.1 Introduction 21
2.2 Preliminary results 24
2.3 The binding period 27
2.4 The inductive step 31
2.5 Construction of the sets {iln)n^N 32
2.6 Estimates of the excluded set 43
3 CONTRACTIVE DIRECTIONS 53
4 CRITICAL POINTS OF THE BIDIMENSIONAL MAP 73
4.1 Preliminary results 73
4.2 Construction of critical points 79
4.2.1 Critical approximations of generation zero: The algorithm A . 83
4.2.2 Critical approximations of higher generations: The algorithm B 85
4.3 The contractive fields 87
5 THE INDUCTIVE PROCESS 89
5.1 The construction of Cn 91
5.2 Returns, binding points and binding periods 94
5.2.1 Comments and properties 97
5.3 The folding period 100
5.3.1 The splitting algorithm 102
5.4 The remainder of the induction hypotheses 105
viii CONTENTS
5.5 Appendix: The function d^(^o) 115
6 THE BINDING POINT 119
7 THE BINDING PERIOD 135
8 THE EXCLUSION OF PARAMETERS 153
Appendix A: Numerical experiments 191
Bibliography 193
Index 195
|
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| author | Pumariño, Antonio Rodriguez, Jose A. |
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| dewey-full | 510 514/.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 514 - Topology |
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| dewey-search | 510 514/.74 |
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| discipline | Mathematik |
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| indexdate | 2024-07-09T18:08:07Z |
| institution | BVB |
| isbn | 3540627316 |
| language | English |
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| physical | VIII, 194 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
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| series2 | Lecture notes in mathematics |
| spelling | Pumariño, Antonio Verfasser aut Coexistence and persistence of strange attractors Antonio Pumariño ; J. Angel Rodriguez Berlin [u.a.] Springer 1997 VIII, 194 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1658 : Subseries: Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brasil Bifurcatie gtt Chaos Sistemas dinamicos larpcal Chaotic behavior in systems Seltsamer Attraktor (DE-588)4140566-3 gnd rswk-swf Seltsamer Attraktor (DE-588)4140566-3 s DE-604 Rodriguez, Jose A. Verfasser aut Lecture notes in mathematics 1658 : Subseries: Instituto de Matemática Pura e Aplicada, Rio de Janeiro, Brasil (DE-604)BV000676446 1658 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007620815&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Pumariño, Antonio Rodriguez, Jose A. Coexistence and persistence of strange attractors Lecture notes in mathematics Bifurcatie gtt Chaos Sistemas dinamicos larpcal Chaotic behavior in systems Seltsamer Attraktor (DE-588)4140566-3 gnd |
| subject_GND | (DE-588)4140566-3 |
| title | Coexistence and persistence of strange attractors |
| title_auth | Coexistence and persistence of strange attractors |
| title_exact_search | Coexistence and persistence of strange attractors |
| title_full | Coexistence and persistence of strange attractors Antonio Pumariño ; J. Angel Rodriguez |
| title_fullStr | Coexistence and persistence of strange attractors Antonio Pumariño ; J. Angel Rodriguez |
| title_full_unstemmed | Coexistence and persistence of strange attractors Antonio Pumariño ; J. Angel Rodriguez |
| title_short | Coexistence and persistence of strange attractors |
| title_sort | coexistence and persistence of strange attractors |
| topic | Bifurcatie gtt Chaos Sistemas dinamicos larpcal Chaotic behavior in systems Seltsamer Attraktor (DE-588)4140566-3 gnd |
| topic_facet | Bifurcatie Chaos Sistemas dinamicos Chaotic behavior in systems Seltsamer Attraktor |
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| volume_link | (DE-604)BV000676446 |
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