Pattern dynamics in heterogeneous media:
Saved in:
| Main Author: | |
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| Format: | Thesis Book |
| Language: | English |
| Published: |
1999
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 136 S. Ill., graph. Darst. : 30 cm |
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MARC
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| 502 | |a Dresden, Techn. Univ., Diss., 1999 | ||
| 650 | 4 | |a Inhomogenes Medium - Musterbildung - Reaktions-Diffusionsgleichung | |
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Record in the Search Index
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| adam_text |
CONTENTS
1 INTRODUCTION 3
2 MATHEMATICAL BASICS 7
2.1 INTRODUCTION. 7
2.2 REDUCED SYSTEMS. 11
2.3 BASICS OF NONLINEAR DYNAMICS. 15
2.3.1 LOCAL BIFURCATIONS . 16
2.3.2 GLOBAL BIFURCATIONS. 17
3 HOMOGENISATION 21
3.1 INTRODUCTION. 21
3.2 SHORT SYSTEMS. 23
3.2.1 PERTURBATION CALCULATION. 24
3.2.2 NUMERICAL RESULTS. 28
3.2.3 BEYOND HOMOGENISATION. 31
3.3 SMALL SCALE HETEROGENEITIES. 34
3.3.1 INTRODUCTION . 34
3.3.2 LINEAR EQUATIONS. 37
3.3.3 NONLINEAR EQUATIONS. 38
3.3.4 COMPARISON WITH NUMERICS . 41
3.4 DISCUSSION . . . 43
4 FRONTS IN HETEROGENEOUS MEDIA 49
4.1 INTRODUCTION. 49
4.2 PARITY BREAKING BIFURCATION. 50
4.3 BOX HETEROGENEITY . 53
4.4 DISCRETE REACTION KINETICS . 58
4.4.1 INTRODUCTION . 58
4.4.2 ACTIVATOR-INHIBITOR-MODEL. 60
4.4.3 PERTURBATION CALCULATION. 63
4.4.4 PROPAGATION FAILURE. 70
4.5 DISCUSSION. 74
1
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/959033793
2
CONTENTS
5 PULSES IN HETEROGENEOUS MEDIA 76
5.1 INTRODUCTION. 76
5.2 REDUCED DYNAMICS FOR PULSES . 77
5.2.1 CENTERED COORDINATES. 79
5.2.2 STATIONARY SOLUTION AND STABILITY. 80
5.2.3 PITCHFORK BIFURCATION TO TRAVELLING PULSES. 81
5.2.4 HOPF BIFURCATION TO BREATHING PULSES. 82
5.2.5 TRAVELLING PULSES AND THEIR STABILITY. 83
5.3 BOX HETEROGENEITY . 86
5.3.1 STATIONARY SOLUTIONS. 86
5.3.2 PINNING-DEPINNING SCENARIO. 87
5.4 DISCUSSION. 89
6 SPATIO-TEMPORAL FORCING 94
6.1 INTRODUCTION. 94
6.2 FORCED OSCILLATORY MEDIA. 95
6.2.1 OSCILLATORY MEDIA AND NORMAL FORM. 95
6.2.2 TYPICAL SOLUTIONS OF THE CGLE. 96
6.2.3 RESONANT FORCING. 97
6.3 AMPLITUDE EQUATION .101
6.3.1 CHANGE OF FORCING TERM .101
6.3.2 LINEAR STABILITY ANALYSIS.103
6.3.3 NUMERICAL RESULTS.109
6.4 DISCUSSION.122
123
7 CONCLUSION |
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| indexdate | 2024-10-09T18:12:49Z |
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| language | English |
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| physical | 136 S. Ill., graph. Darst. : 30 cm |
| publishDate | 1999 |
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| spelling | Utzny, Clemens 1971- Verfasser (DE-588)12204522X aut Pattern dynamics in heterogeneous media von Clemens Utzny 1999 136 S. Ill., graph. Darst. : 30 cm txt rdacontent n rdamedia nc rdacarrier Dresden, Techn. Univ., Diss., 1999 Inhomogenes Medium - Musterbildung - Reaktions-Diffusionsgleichung Inhomogenes Medium (DE-588)4228459-4 gnd rswk-swf Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd rswk-swf Musterbildung (DE-588)4137934-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Inhomogenes Medium (DE-588)4228459-4 s Musterbildung (DE-588)4137934-2 s Reaktions-Diffusionsgleichung (DE-588)4323967-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009088645&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Utzny, Clemens 1971- Pattern dynamics in heterogeneous media Inhomogenes Medium - Musterbildung - Reaktions-Diffusionsgleichung Inhomogenes Medium (DE-588)4228459-4 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Musterbildung (DE-588)4137934-2 gnd |
| subject_GND | (DE-588)4228459-4 (DE-588)4323967-5 (DE-588)4137934-2 (DE-588)4113937-9 |
| title | Pattern dynamics in heterogeneous media |
| title_auth | Pattern dynamics in heterogeneous media |
| title_exact_search | Pattern dynamics in heterogeneous media |
| title_full | Pattern dynamics in heterogeneous media von Clemens Utzny |
| title_fullStr | Pattern dynamics in heterogeneous media von Clemens Utzny |
| title_full_unstemmed | Pattern dynamics in heterogeneous media von Clemens Utzny |
| title_short | Pattern dynamics in heterogeneous media |
| title_sort | pattern dynamics in heterogeneous media |
| topic | Inhomogenes Medium - Musterbildung - Reaktions-Diffusionsgleichung Inhomogenes Medium (DE-588)4228459-4 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Musterbildung (DE-588)4137934-2 gnd |
| topic_facet | Inhomogenes Medium - Musterbildung - Reaktions-Diffusionsgleichung Inhomogenes Medium Reaktions-Diffusionsgleichung Musterbildung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009088645&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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