The Hopf bifurcation and its applications:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
1976
|
| Series: | Applied mathematical sciences
19 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 382 - 404 |
| Physical Description: | XIII, 408 S. graph. Darst. |
| ISBN: | 0387902007 3540902007 |
Staff View
MARC
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| 245 | 1 | 0 | |a The Hopf bifurcation and its applications |c J. E. Marsden ; M. McCracken |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1976 | |
| 300 | |a XIII, 408 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 650 | 4 | |a Équations aux dérivées partielles | |
| 650 | 4 | |a Équations différentielles | |
| 650 | 4 | |a Bifurcation theory | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Stability | |
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Record in the Search Index
| _version_ | 1804116415616122880 |
|---|---|
| adam_text | TABLE OF CONTENTS X1
SECTION 1
INTRODUCTION TO STABILITY AND BIFURCATION IN
DYNAMICAL SYSTEMS AND FLUID DYNAMICS 1
SECTION 2
THE CENTER MANIFOLD THEOREM 27
SECTION 2A
SOME SPECTRAL THEORY 50
SECTION 2B
THE POINCARE MAP 56
SECTION 3
THE HOPF BIFURCATION THEOREM IN R2 AND IN Rn 63
SECTION 3A
OTHER BIFURCATION THEOREMS 85
SECTION 3B
MORE GENERAL CONDITIONS FOR STABILITY 91
SECTION 3C
HOPF S BIFURCATION THEOREM AND THE CENTER THEOREM
OF LIAPUNOV by Dieter S. Schmidt 95
SECTION 4
COMPUTATION OF THE STABILITY CONDITION 104
SECTION 4A
HOW TO USE THE STABILITY FORMULA; AN ALGORITHM ... 131
SECTION 4B
EXAMPLES 136
SECTION 4C
HOPF BIFURCATION AND THE METHOD OF AVERAGING
by S. Chow and J. Mallet-Paret 151
Xii TABLE OF CONTENTS
SECTION 5
A TRANSLATION OF HOPF¦S ORIGINAL PAPER
by L. N. Howard and N. Kopell 163
SECTION 5A
EDITORIAL COMMENTS by L. N. Howard
and N. Kopell 194
SECTION 6
THE HOPF BIFURCATION THEOREM FOR
DIFFEOMORPHISMS 206
SECTION 6A
THE CANONICAL FORM 219
SECTION 7
BIFURCATIONS WITH SYMMETRY by Steve Schecter 224
SECTION 8
BIFURCATION THEOREMS FOR PARTIAL DIFFERENTIAL
EQUATIONS 250
SECTION 8A
NOTES ON NONLINEAR SEMIGROUPS 258
SECTION 9
BIFURCATION IN FLUID DYNAMICS AND THE PROBLEM OF
TURBULENCE 285
SECTION 9A
ON A PAPER OF G. IOOSS by G. Childs 304
SECTION 9B
ON A PAPER OF KIRCHGASSNER AND KIELHOFFER
by 0. Ruiz 315
SECTION 10
BIFURCATION PHENOMENA IN POPULATION MODELS
by G. Oster and J. Guckenheimer 327
TABLE OF CONTENTS xiii
SECTION 11
A MATHEMATICAL MODEL OF TWO CELLS by S. Smale 354
SECTION 12
A STRANGE, STRANGE ATTRACTOR by J. Guckenheimer .. 368
REFERENCES 382
INDEX 405
|
| any_adam_object | 1 |
| author | Marsden, Jerrold E. 1942-2010 MacCracken, Marjorie |
| author_GND | (DE-588)124171141 |
| author_facet | Marsden, Jerrold E. 1942-2010 MacCracken, Marjorie |
| author_role | aut aut |
| author_sort | Marsden, Jerrold E. 1942-2010 |
| author_variant | j e m je jem m m mm |
| building | Verbundindex |
| bvnumber | BV001971635 |
| callnumber-first | Q - Science |
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| callnumber-search | QA1 QA380 |
| callnumber-sort | QA 11 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 520 |
| ctrlnum | (OCoLC)2346079 (DE-599)BVBBV001971635 |
| dewey-full | 510/.8 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV001971635 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:38:09Z |
| institution | BVB |
| isbn | 0387902007 3540902007 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001285938 |
| oclc_num | 2346079 |
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| physical | XIII, 408 S. graph. Darst. |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| publisher | Springer |
| record_format | marc |
| series | Applied mathematical sciences |
| series2 | Applied mathematical sciences |
| spelling | Marsden, Jerrold E. 1942-2010 Verfasser (DE-588)124171141 aut The Hopf bifurcation and its applications J. E. Marsden ; M. McCracken New York [u.a.] Springer 1976 XIII, 408 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 19 Literaturverz. S. 382 - 404 Analise Funcional larpcal Dynamique différentiable Equacoes Diferenciais Ordinarias larpcal Hopf-bifurcatie gtt Sistemas Dinamicos larpcal Stabilité Équations aux dérivées partielles Équations différentielles Bifurcation theory Differentiable dynamical systems Differential equations Differential equations, Partial Stability Hydrodynamik (DE-588)4026302-2 gnd rswk-swf Hopf-Verzweigung (DE-588)4160648-6 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Hopf-Verzweigung (DE-588)4160648-6 s DE-604 Hydrodynamik (DE-588)4026302-2 s Verzweigung Mathematik (DE-588)4078889-1 s Partielle Differentialgleichung (DE-588)4044779-0 s MacCracken, Marjorie Verfasser aut Applied mathematical sciences 19 (DE-604)BV000005274 19 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001285938&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Marsden, Jerrold E. 1942-2010 MacCracken, Marjorie The Hopf bifurcation and its applications Applied mathematical sciences Analise Funcional larpcal Dynamique différentiable Equacoes Diferenciais Ordinarias larpcal Hopf-bifurcatie gtt Sistemas Dinamicos larpcal Stabilité Équations aux dérivées partielles Équations différentielles Bifurcation theory Differentiable dynamical systems Differential equations Differential equations, Partial Stability Hydrodynamik (DE-588)4026302-2 gnd Hopf-Verzweigung (DE-588)4160648-6 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4026302-2 (DE-588)4160648-6 (DE-588)4078889-1 (DE-588)4044779-0 |
| title | The Hopf bifurcation and its applications |
| title_auth | The Hopf bifurcation and its applications |
| title_exact_search | The Hopf bifurcation and its applications |
| title_full | The Hopf bifurcation and its applications J. E. Marsden ; M. McCracken |
| title_fullStr | The Hopf bifurcation and its applications J. E. Marsden ; M. McCracken |
| title_full_unstemmed | The Hopf bifurcation and its applications J. E. Marsden ; M. McCracken |
| title_short | The Hopf bifurcation and its applications |
| title_sort | the hopf bifurcation and its applications |
| topic | Analise Funcional larpcal Dynamique différentiable Equacoes Diferenciais Ordinarias larpcal Hopf-bifurcatie gtt Sistemas Dinamicos larpcal Stabilité Équations aux dérivées partielles Équations différentielles Bifurcation theory Differentiable dynamical systems Differential equations Differential equations, Partial Stability Hydrodynamik (DE-588)4026302-2 gnd Hopf-Verzweigung (DE-588)4160648-6 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Analise Funcional Dynamique différentiable Equacoes Diferenciais Ordinarias Hopf-bifurcatie Sistemas Dinamicos Stabilité Équations aux dérivées partielles Équations différentielles Bifurcation theory Differentiable dynamical systems Differential equations Differential equations, Partial Stability Hydrodynamik Hopf-Verzweigung Verzweigung Mathematik Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001285938&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005274 |
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