Holdings: Collapse of tori and genesis of chaos in dissipative systems

Collapse of tori and genesis of chaos in dissipative systems:

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Bibliographic Details
Main Author:	Kaneko, Kunihiko 1956- (Author)
Format:	Book
Language:	English
Published:	Singapore World Scientific 1986
Subjects:	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
Online Access:	Inhaltsverzeichnis
Item Description:	Teilw. zugl.: Tokyo, Univ., Diss., 1983 u.d.T.: Kaneko, Kunihiko: Collapse of tori and genesis of chaos in nonlinear nonequilibrium systems
Physical Description:	XI, 264 S. Ill.
ISBN:	997197861X

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MARC


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Record in the Search Index

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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
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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
url	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
work_keys_str_mv	AT kanekokunihiko collapseoftoriandgenesisofchaosindissipativesystems

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