Perturbation methods, instability, catastrophe and chaos:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1999
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 260 S. graph. Darst. |
| ISBN: | 981023726X 9810237278 |
Staff View
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| 245 | 1 | 0 | |a Perturbation methods, instability, catastrophe and chaos |c C. F. Chan Man Fong & D. De Kee |
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| 650 | 4 | |a Bifurcation theory | |
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Record in the Search Index
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|---|---|
| adam_text | IMAGE 1
PERTURBATION METHODS,
INSTABILITY, CATASTROPHE AND CHAOS
C F CHAN MAN FONG & D DE KEE DEPARTMENT OF CHEMICAL ENGINEERING TULANE
UNIVERSITY, USA
V FE WORLD SCIENTIFIC WB SINGAPORE-NEW JERSEY L SINGAPORE »NEW JERSEY *
LONDON * HONG KONG
IMAGE 2
CONTENTS
CHAPTER 1 QUALITATIVE THEORY 1
1.1 INTRODUCTION 1
1.2 TWO-DIMENSIONAL LINEAR SYSTEMS 3
1.3 TWO-DIMENSIONAL ALMOST LINEAR SYSTEMS 16
1.4 EXISTENCE AND NON-EXISTENCE OF PERIODIC SOLUTIONS 42
POINCARE INDEX 42
BENDIXSON S NEGATIVE CRITERION 45
DULAC S CRITERION 46
POINCARE-BENDIXSON S THEOREM 47
1.5 FLOQUET S THEOREM 50
59
63 63 76 93 102 119
125 125 125 131
142 144 145 147
155
PROBLEMS 163
CHAPTER 4 BIFURCATION AND CATASTROPHE 169
4.1 INTRODUCTION 169
4.2 EXAMPLES OF BIFURCATION IN ONE DIMENSION 170
4.3 TWO-DIMENSIONAL PROBLEMS 177
4.4 DISCRETE SYSTEMS 183
4.5 ELEMENTARY CATASTROPHE 190
PROBLEMS
CHAPTER 2 2.1 2.2 2.3 2.4
PERTURBATION METHODS REGULAER AND SINGULAR PERTURBATION METHOD OF
MULTIPLE SCALES METHOD OF AVERAGING MATCHED ASYMPTOTIC EXPANSIONS
PROBLEMS
CHAPTER 3 3.1 3.2 3.3
3.4 3.5
STABILITY INTRODUCTION DEFINITIONS LIAPUNOV S DIRECT METHOD - AUTONOMOUS
SYSTEM
VARIABLE GRADIENT METHOD ZUBOV S METHOD KRASOVSKII S METHOD LIAPUNOV S
DIRECT METHOD - NON-AUTONOMOUS SYSTEM
HYDRODYNAMIC STABILITY
IMAGE 3
YLL] PERTURBATION METHODS. INSTABILITY. CATASTROPHE. AND CHAOS
195 196 196 199 208 208
211 211 211 220
220 224 226 229 234 236 236 239 241
247 247
251
257
4.6
4.7 4.8
GEOMETRY OF ELEMENTARY CATASTROPHES THE FOLD THE CUSP APPLICATIONS
COMMENTS PROBLEMS
CHAPTER 5 5.1 5.2 5.3
5.4
5.5
CHAOS
INTRODUCTION EXAMPLES CRITERIA FOR CHAOS LIAPUNOV EXPONENTS
POWER SPECTRUM AND AUTOCORRELATION FRACTAL DIMENSION POINCARE SECTION
TIME-DELAY PLOT ROUTES TO CHAOS
PERIOD DOUBLING INTERMITTENCY QUASI-PERIODICITY DISCUSSION PROBLEMS
REFERENCES
AUTHOR INDEX
SUBJECT INDEX 259
|
| any_adam_object | 1 |
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| building | Verbundindex |
| bvnumber | BV012731210 |
| callnumber-first | Q - Science |
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| callnumber-search | QA372 |
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| classification_rvk | SK 500 SK 880 |
| ctrlnum | (OCoLC)40862048 (DE-599)BVBBV012731210 |
| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012731210 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:32:42Z |
| institution | BVB |
| isbn | 981023726X 9810237278 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008656240 |
| oclc_num | 40862048 |
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| owner | DE-703 DE-824 DE-M347 DE-83 |
| owner_facet | DE-703 DE-824 DE-M347 DE-83 |
| physical | VIII, 260 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Chen, Wenfang 1938- Verfasser (DE-588)124059325 aut Perturbation methods, instability, catastrophe and chaos C. F. Chan Man Fong & D. De Kee Singapore [u.a.] World Scientific 1999 VIII, 260 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Analyse (wiskunde) gtt Bifurcatie gtt Chaos gtt Storingsrekening gtt Bifurcation theory Chaotic behavior in systems Differential equations Numerical solutions Perturbation (Mathematics) Dynamisches System (DE-588)4013396-5 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Chaotisches System (DE-588)4316104-2 s Dynamisches System (DE-588)4013396-5 s DE-604 De Kee, Daniel 1949- Sonstige (DE-588)124059376 oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008656240&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chen, Wenfang 1938- Perturbation methods, instability, catastrophe and chaos Analyse (wiskunde) gtt Bifurcatie gtt Chaos gtt Storingsrekening gtt Bifurcation theory Chaotic behavior in systems Differential equations Numerical solutions Perturbation (Mathematics) Dynamisches System (DE-588)4013396-5 gnd Chaotisches System (DE-588)4316104-2 gnd |
| subject_GND | (DE-588)4013396-5 (DE-588)4316104-2 |
| title | Perturbation methods, instability, catastrophe and chaos |
| title_auth | Perturbation methods, instability, catastrophe and chaos |
| title_exact_search | Perturbation methods, instability, catastrophe and chaos |
| title_full | Perturbation methods, instability, catastrophe and chaos C. F. Chan Man Fong & D. De Kee |
| title_fullStr | Perturbation methods, instability, catastrophe and chaos C. F. Chan Man Fong & D. De Kee |
| title_full_unstemmed | Perturbation methods, instability, catastrophe and chaos C. F. Chan Man Fong & D. De Kee |
| title_short | Perturbation methods, instability, catastrophe and chaos |
| title_sort | perturbation methods instability catastrophe and chaos |
| topic | Analyse (wiskunde) gtt Bifurcatie gtt Chaos gtt Storingsrekening gtt Bifurcation theory Chaotic behavior in systems Differential equations Numerical solutions Perturbation (Mathematics) Dynamisches System (DE-588)4013396-5 gnd Chaotisches System (DE-588)4316104-2 gnd |
| topic_facet | Analyse (wiskunde) Bifurcatie Chaos Storingsrekening Bifurcation theory Chaotic behavior in systems Differential equations Numerical solutions Perturbation (Mathematics) Dynamisches System Chaotisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008656240&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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