Collapse of tori and genesis of chaos in dissipative systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
1986
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Teilw. zugl.: Tokyo, Univ., Diss., 1983 u.d.T.: Kaneko, Kunihiko: Collapse of tori and genesis of chaos in nonlinear nonequilibrium systems |
| Beschreibung: | XI, 264 S. Ill. |
| ISBN: | 997197861X |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
COLLAPSE OF TORI AND
GENESIS OF CHAOS IN DISSIPATIVE SYSTEMS
KUNIHIKO KANEKO
USSNEMH
WORLD SCIENTIFIC
IMAGE 2
IX
CONTENTS
FOREWORD
CHAPTER 1: INTRODUCTION
1.1 DAWN OF NONLINEAR NONEQUILIBRIUM
PHYSICS 2
1.2 DAWN OF CHAOS PHYSICS 4
1.3 ONSET OF CHAOS 11
1.4 TRANSITION FROM TOMS TO CHAOS ACCOMPANIED BY LOCKINGS - OUTLINE OF
THE BOOK 15
CHAPTER 2: INSTABILITY OF PHASE MOTION OF TORI
2.1 INTRODUCTION 24
2.2 STRUCTURE OF LOCKINGS 25
2.3 S I M I L A R I TY OF THE PERIOD-ADDING SEQUENCES OF LOCKINGS
(NUMERICAL RESULTS) 27
2.4 PHENOMENOLOGICAL THEORY OF THE S I M I L A R I TY OF THE
PERIOD-ADDING SEQUENCE 32
2.5 CLASSIFICATION OF PERIOD-ADDING SEQUENCES 37
2.6 PERIOD-ADDING SEQUENCE AS WINDOWS 41
2.7 SCALING PROPERTIES AT THE COLLAPSE OF
TORI - A B R I EF REVIEW ON A RECENT PROGRESS 44
2.8 GLOBAL PROPERTIES OF THE DEVIL S STAIRCASE 48
IMAGE 3
2.9 SUPERCRITICAL BEHAVIOR OF DISORDERED
ORBITS OF A CIRCLE MAP 54
2.10 DISCUSSION 68
APPENDIX 81
CHAPTER 3: TRANSITION FROM TORUS TO CHAOS ACCOMPANIED BY FREQUENCY
LOCKINGS WITH SYMMETRY BREAKING
3.1 INTRODUCTION 86
3.2 PHASE DIAGRAM AND GENERAL ASPECTS OF THE COUPLED-LOGISTIC MAP 87
3.3 SCALING OF THE PERIOD-ADDING SEQUENCE AT THE FREQUENCY LOCKING 93
3.4 FREQUENCY LOCKING WITH SYMMETRY BREAKING 96
3.5 DISCUSSION 101
CHAPTER 4: OSCILLATION AND FRACTALIZATION OF TORI
4.1 INTRODUCTION 106
4.2 OSCILLATION OF TORUS IN TWO-DIMENSIONAL
MAPPINGS 107
4.3 FRACTALIZATION OF TORUS 118
4.4 SUMMARY AND DISCUSSION 125
APPENDIX 132
CHAPTER 5: DOUBLING OF TORUS
5.1 DISCOVERY 134
5.2 DOUBLING STOPS BY A FINITE NUMBER OF TIMES 135
5.3 MECHANISM OF THE INTERRUPTION OF THE DOUBLING CASCADE 145
5.4 DISCUSSION 148
CHAPTER 6: FATES OF THREE-TORUS
6.1 INTRODUCTION 154
6.2 THREE-TORUS IN A FOUR-DIMENSIONAL MAPPING 155
IMAGE 4
XI
6.3 DOUBLE DEVIL S STAIRCASE IN
MODULATED CIRCLE MAP 163
6.4 CHAOS FROM T 3 IN A COUPLED CIRCLE MAP 167
6.5 SUMMARY AND DISCUSSIONS 178
CHAPTER 7: TURBULENCE IN COUPLED MAP LATTICES
7.1 INTRODUCTION 186
7.2 PERIOD-DOUBLINGS OF KINK-ANTIKINK PATTERNS 187
7.3 ZIGZAG INSTABILITY AND TRANSITION FROM TORUS TO CHAOS 190
7.4 SPATIOTEMPORAL INTERMITTENCY 193
7.5 PERIOD-DOUBLING IN OPEN FLOW 214
7.6 CELLULAR AUTOMATA 222
7.7 DISCUSSIONS 228
CHAPTER 8: SUMMARY, FUTURE PROBLEMS, AND DISCUSSIONS
8.1 SUMMARY AND FUTURE PROBLEMS 236
8.2 WHAT HAS CHAOS BROUGHT ABOUT AND WILL BRING ABOUT IN SCIENCE? 242
8.3 TOWARDS A FIELD THEORY OF CHAOS 256
|
| any_adam_object | 1 |
| author | Kaneko, Kunihiko 1956- |
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| id | DE-604.BV000579479 |
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| indexdate | 2024-07-09T15:16:01Z |
| institution | BVB |
| isbn | 997197861X |
| language | English |
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| physical | XI, 264 S. Ill. |
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| publishDate | 1986 |
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| spelling | Kaneko, Kunihiko 1956- Verfasser (DE-588)121938611 aut Collapse of tori and genesis of chaos in dissipative systems Kunihiko Kaneko Singapore World Scientific 1986 XI, 264 S. Ill. txt rdacontent n rdamedia nc rdacarrier Teilw. zugl.: Tokyo, Univ., Diss., 1983 u.d.T.: Kaneko, Kunihiko: Collapse of tori and genesis of chaos in nonlinear nonequilibrium systems Chaos Chaos gtt Permeabiliteit gtt Théories non linéaires Tore (Géométrie) Chaotic behavior in systems Nonlinear theories Torus (Geometry) Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaos (DE-588)4191419-3 gnd rswk-swf Dissipatives System (DE-588)4209641-8 gnd rswk-swf Torus (DE-588)4185738-0 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Nichtlineare Theorie (DE-588)4251279-7 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Toruskollaps gnd rswk-swf Chaotisches System (DE-588)4316104-2 s Nichtlineare Theorie (DE-588)4251279-7 s DE-604 Toruskollaps f Dissipatives System (DE-588)4209641-8 s Chaos (DE-588)4191419-3 s Chaostheorie (DE-588)4009754-7 s Torus (DE-588)4185738-0 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000358124&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kaneko, Kunihiko 1956- Collapse of tori and genesis of chaos in dissipative systems Chaos Chaos gtt Permeabiliteit gtt Théories non linéaires Tore (Géométrie) Chaotic behavior in systems Nonlinear theories Torus (Geometry) Chaostheorie (DE-588)4009754-7 gnd Chaos (DE-588)4191419-3 gnd Dissipatives System (DE-588)4209641-8 gnd Torus (DE-588)4185738-0 gnd Chaotisches System (DE-588)4316104-2 gnd Nichtlineare Theorie (DE-588)4251279-7 gnd |
| subject_GND | (DE-588)4009754-7 (DE-588)4191419-3 (DE-588)4209641-8 (DE-588)4185738-0 (DE-588)4316104-2 (DE-588)4251279-7 (DE-588)4113937-9 |
| title | Collapse of tori and genesis of chaos in dissipative systems |
| title_auth | Collapse of tori and genesis of chaos in dissipative systems |
| title_exact_search | Collapse of tori and genesis of chaos in dissipative systems |
| title_full | Collapse of tori and genesis of chaos in dissipative systems Kunihiko Kaneko |
| title_fullStr | Collapse of tori and genesis of chaos in dissipative systems Kunihiko Kaneko |
| title_full_unstemmed | Collapse of tori and genesis of chaos in dissipative systems Kunihiko Kaneko |
| title_short | Collapse of tori and genesis of chaos in dissipative systems |
| title_sort | collapse of tori and genesis of chaos in dissipative systems |
| topic | Chaos Chaos gtt Permeabiliteit gtt Théories non linéaires Tore (Géométrie) Chaotic behavior in systems Nonlinear theories Torus (Geometry) Chaostheorie (DE-588)4009754-7 gnd Chaos (DE-588)4191419-3 gnd Dissipatives System (DE-588)4209641-8 gnd Torus (DE-588)4185738-0 gnd Chaotisches System (DE-588)4316104-2 gnd Nichtlineare Theorie (DE-588)4251279-7 gnd |
| topic_facet | Chaos Permeabiliteit Théories non linéaires Tore (Géométrie) Chaotic behavior in systems Nonlinear theories Torus (Geometry) Chaostheorie Dissipatives System Torus Chaotisches System Nichtlineare Theorie Hochschulschrift Toruskollaps |
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