Dynamics in between regularity and chaos:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | German |
| Veröffentlicht: |
1996
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Enth. 9 Sonderabdr. aus verschiedenen Zeitschr.. - Potsdam, Univ., Habil.-Schr., 1996 |
| Beschreibung: | 240 S. in getr. Zählung Ill., graph. Darst. |
Internformat
MARC
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| 264 | 1 | |c 1996 | |
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| 502 | |a Potsdam, Univ., Habil.-Schr. | ||
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Datensatz im Suchindex
| _version_ | 1812453384137998336 |
|---|---|
| adam_text |
CONTENTS
1 INTRODUCTION 3
2 ON THE DESTRUCTION OF THREE-DIMENSIONAL TORI 9
2.1 BIFURCATIONS AND TRANSITIONS TO CHAOS THROUGH THREE-DIMENSIONAL TORI
10
2.2 THE LOSS OF SMOOTHNESS OF THE THREE-DIMENSIONAL TORUS .14
^.2.1 ITERATION OF PARTS OF THE STROBOSCOPIC POINCARE SECTION
. 14
2.2.2 CRITICAL SURFACES FOR NON-INVERTIBLE MAPS. 17
2.3 VIA QUASIPERIODICITY TO CHAOS IN A NONLINEAR DYNAMO MODEL FOR SOLAR
ACTIVITY.20
3 STRANGE NONCHAOTIC ATTRACTORS 28
3.1 CRITERIA TO DISTINGUISH BETWEEN STRANGE NONCHAOTIC AND NONSTRANGE
NONCHAOTIC ATTRACTORS.30
3.1.1 RATIONAL APPROXIMATIONS.31
3.1.2 PHASE SENSITIVITY PROPERTIES.33
3.1.3 LOCAL LYAPUNOV EXPONENTS .35
3.2 CORRELATIONS AND SPECTRA OF SNA .37
3.2.1 AUTOCORRELATION FUNCTION.38
3.2.2 SPECTRUM.40
3.3 THE APPEARANCE OF STRANGE NONCHAOTIC ATTRACTORS IN THE CIRCLE MAP 42
3.4 PHASE-LOCKING IN THE QUASIPERIODICALLY FORCED CIRCLE MAP.44
3.4.1 THE SHAPE OF THE PHASE-LOCKING REGION.47
3.4.2 PHASE-LOCKING STRUCTURE IN THE
Q - K
PLANE.49
3.5 MULTIBAND STRANGE NONCHAOTIC ATTRACTORS AND BAND-MERGING CRISIS . 52
4 MULTISTABILITY - SYSTEMS WITH MANY COEXISTING ATTRACTORS 56
4.1 MULTIPLE COEXISTING ATTRACTORS AND THEIR BASINS OF ATTRACTION
. 57
4.2 MULTISTABILITY IN SYSTEMS WITH SMALL DAMPING.60
5 CONCLUSION 65
6 MAIN RESULTS 68
7 ACKNOWLEDGEMENTS 71
8 BIBLIOGRAPHY 72
1
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/949400793
9 APPENDIX 82
9.1 BIFURCATIONS AND TRANSITIONS TO CHAOS THROUGH THREE-DIMENSIONAL TORI
82
9.2 ON THE DESTRUCTION OF THREE-DIMENSIONAL TORI.83
9.3 TORI AND CHAOS IN A NONLINEAR DYNAMO MODEL FOR SOLAR ACTIVITY . 84
9.4 CHARACTERIZING STRANGE NONCHAOTIC ATTRACTORS.85
9.5 CORRELATIONS AND SPECTRA OF STRANGE NONCHAOTIC ATTRACTORS.86
9.6 STRANGE NONCHAOTIC ATTRACTOR IN A QUASIPERIODICALLY FORCED CIRCLE
MAP 87
9.7 PHASE-LOCKING IN QUASIPERIODICALLY FORCED SYSTEMS.88
9.8 MULTIBAND STRANGE NONCHAOTIC ATTRACTORS IN QUASIPERIODICALLY FORCED
SYSTEMS.89
9.9 A MAP WITH MORE THAN 100 COEXISTING LOW-PERIOD PERIODIC ATTRACTORS
90
2 |
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| id | DE-604.BV011301089 |
| illustrated | Illustrated |
| indexdate | 2024-10-09T16:10:41Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007591014 |
| oclc_num | 64541272 |
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| owner | DE-29T DE-11 DE-188 |
| owner_facet | DE-29T DE-11 DE-188 |
| physical | 240 S. in getr. Zählung Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
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| spelling | Feudel, Ulrike Verfasser aut Dynamics in between regularity and chaos vorgelegt von Ulrike Feudel 1996 240 S. in getr. Zählung Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Enth. 9 Sonderabdr. aus verschiedenen Zeitschr.. - Potsdam, Univ., Habil.-Schr., 1996 Potsdam, Univ., Habil.-Schr. Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Chaotisches System (DE-588)4316104-2 s Nichtlineares dynamisches System (DE-588)4126142-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007591014&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Feudel, Ulrike Dynamics in between regularity and chaos Nichtlineares dynamisches System (DE-588)4126142-2 gnd Chaotisches System (DE-588)4316104-2 gnd |
| subject_GND | (DE-588)4126142-2 (DE-588)4316104-2 (DE-588)4113937-9 |
| title | Dynamics in between regularity and chaos |
| title_auth | Dynamics in between regularity and chaos |
| title_exact_search | Dynamics in between regularity and chaos |
| title_full | Dynamics in between regularity and chaos vorgelegt von Ulrike Feudel |
| title_fullStr | Dynamics in between regularity and chaos vorgelegt von Ulrike Feudel |
| title_full_unstemmed | Dynamics in between regularity and chaos vorgelegt von Ulrike Feudel |
| title_short | Dynamics in between regularity and chaos |
| title_sort | dynamics in between regularity and chaos |
| topic | Nichtlineares dynamisches System (DE-588)4126142-2 gnd Chaotisches System (DE-588)4316104-2 gnd |
| topic_facet | Nichtlineares dynamisches System Chaotisches System Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007591014&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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