Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
[1999]
|
| Schriftenreihe: | Fields Institute monographs / Fields Institute for Research in Mathematical Sciences
11 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | vii, 245 Seiten |
| ISBN: | 082181074X 9780821810743 |
Internformat
MARC
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| 100 | 1 | |a Krisztin, Tibor |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback |c Tibor Krisztin ; Hans-Otto Walther ; Jianhong Wu |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [1999] | |
| 264 | 4 | |c © 1999 | |
| 300 | |a vii, 245 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Fields Institute monographs / Fields Institute for Research in Mathematical Sciences |v 11 | |
| 650 | 4 | |a Attracteurs (Mathématiques) | |
| 650 | 7 | |a Attracteurs (mathématiques) |2 ram | |
| 650 | 7 | |a Feedback monotone |2 Jussieu | |
| 650 | 7 | |a Forme |2 Jussieu | |
| 650 | 4 | |a Problèmes aux valeurs initiales | |
| 650 | 7 | |a Problèmes aux valeurs initiales |2 ram | |
| 650 | 7 | |a Stratification invariante |2 Jussieu | |
| 650 | 4 | |a Équations différentielles à retard - Solutions numériques | |
| 650 | 7 | |a Équations différentielles à retard |2 ram | |
| 650 | 4 | |a Attractors (Mathematics) | |
| 650 | 4 | |a Delay differential equations |x Numerical solutions | |
| 650 | 4 | |a Initial value problems | |
| 650 | 0 | 7 | |a Attraktor |0 (DE-588)4140563-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung mit nacheilendem Argument |0 (DE-588)4199298-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Differentialgleichung mit nacheilendem Argument |0 (DE-588)4199298-2 |D s |
| 689 | 0 | 1 | |a Attraktor |0 (DE-588)4140563-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Walther, Hans-Otto |d 1948- |e Verfasser |0 (DE-588)143534068 |4 aut | |
| 700 | 1 | |a Wu, Jianhong |d 1964- |e Verfasser |0 (DE-588)1055793526 |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-3138-9 |
| 810 | 2 | |a Fields Institute for Research in Mathematical Sciences |t Fields Institute monographs |v 11 |w (DE-604)BV009737926 |9 11 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010030678&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010030678 | |
Datensatz im Suchindex
| _version_ | 1807864435325272064 |
|---|---|
| adam_text |
Contents
Preface v
Chapter 1 Introduction 1
Chapter 2 The delay differential equation and the hypotheses 9
Chapter 3 The separatrix 15
Chapter 4 The leading unstable set of the origin 19
Chapter 5 Oscillation frequencies 27
Chapter 6 Graph representations 33
Chapter 7 Dynamics on W and disk representation of W n S 41
Chapter 8 Minimal linear instability of the periodic orbit O 51
Chapter 9 Smoothness of W n S in case O is hyperbolic 57
Chapter 10 Smoothness of W PI 5 in case O is not hyperbolic 63
Chapter 11 The unstable set of O contains the nonstationary points
ofbdVK 67
Chapter 12 bd W contains the unstable set of the periodic orbit O 75
Chapter 13 H n W is smooth near po 95
Chapter 14 Smoothness of W, bd W and W n 5 113
Chapter 15 Homeomorphisms from bd W onto the sphere and the cylinder 125
Chapter 16 Homeomorphisms from W onto the closed ball and the solid
cylinder 135
Chapter 17 Resume 161
vi Contents
Appendix I. Equivalent norms, invariant manifolds, Poincare maps and
asymptotic phases 167
Appendix II. Smooth center stable manifolds for C1 maps 173
Appendix III. Smooth generalized center unstable manifolds for C1 maps 189
Appendix IV. Invariant cones close to neutrally stable fixed points with
1 dimensional center spaces 197
Appendix V. Unstable sets of periodic orbits 205
Appendix VI. A discrete Lyapunov functional and a priori estimates 211
Appendix VII. Floquet multipliers for a class of linear periodic delay
differential equations 221
Appendix VIII. Some results from topology 237
Bibliography 239
Index 243 |
| any_adam_object | 1 |
| author | Krisztin, Tibor Walther, Hans-Otto 1948- Wu, Jianhong 1964- |
| author_GND | (DE-588)143534068 (DE-588)1055793526 |
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| bvnumber | BV014823255 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA371 |
| callnumber-search | QA371 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 500 |
| ctrlnum | (OCoLC)39860110 (DE-599)BVBBV014823255 |
| 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.BV014823255 |
| illustrated | Not Illustrated |
| indexdate | 2024-08-20T00:31:19Z |
| institution | BVB |
| isbn | 082181074X 9780821810743 |
| language | English |
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| owner_facet | DE-384 DE-188 |
| physical | vii, 245 Seiten |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | American Mathematical Society |
| record_format | marc |
| series2 | Fields Institute monographs / Fields Institute for Research in Mathematical Sciences |
| spelling | Krisztin, Tibor Verfasser aut Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback Tibor Krisztin ; Hans-Otto Walther ; Jianhong Wu Providence, Rhode Island American Mathematical Society [1999] © 1999 vii, 245 Seiten txt rdacontent n rdamedia nc rdacarrier Fields Institute monographs / Fields Institute for Research in Mathematical Sciences 11 Attracteurs (Mathématiques) Attracteurs (mathématiques) ram Feedback monotone Jussieu Forme Jussieu Problèmes aux valeurs initiales Problèmes aux valeurs initiales ram Stratification invariante Jussieu Équations différentielles à retard - Solutions numériques Équations différentielles à retard ram Attractors (Mathematics) Delay differential equations Numerical solutions Initial value problems Attraktor (DE-588)4140563-8 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd rswk-swf Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 s Attraktor (DE-588)4140563-8 s DE-604 Walther, Hans-Otto 1948- Verfasser (DE-588)143534068 aut Wu, Jianhong 1964- Verfasser (DE-588)1055793526 aut Erscheint auch als Online-Ausgabe 978-1-4704-3138-9 Fields Institute for Research in Mathematical Sciences Fields Institute monographs 11 (DE-604)BV009737926 11 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010030678&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Krisztin, Tibor Walther, Hans-Otto 1948- Wu, Jianhong 1964- Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback Attracteurs (Mathématiques) Attracteurs (mathématiques) ram Feedback monotone Jussieu Forme Jussieu Problèmes aux valeurs initiales Problèmes aux valeurs initiales ram Stratification invariante Jussieu Équations différentielles à retard - Solutions numériques Équations différentielles à retard ram Attractors (Mathematics) Delay differential equations Numerical solutions Initial value problems Attraktor (DE-588)4140563-8 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| subject_GND | (DE-588)4140563-8 (DE-588)4199298-2 |
| title | Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback |
| title_auth | Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback |
| title_exact_search | Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback |
| title_full | Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback Tibor Krisztin ; Hans-Otto Walther ; Jianhong Wu |
| title_fullStr | Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback Tibor Krisztin ; Hans-Otto Walther ; Jianhong Wu |
| title_full_unstemmed | Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback Tibor Krisztin ; Hans-Otto Walther ; Jianhong Wu |
| title_short | Shape, smoothness and invariant stratification of an attracting set for delayed monotone positive feedback |
| title_sort | shape smoothness and invariant stratification of an attracting set for delayed monotone positive feedback |
| topic | Attracteurs (Mathématiques) Attracteurs (mathématiques) ram Feedback monotone Jussieu Forme Jussieu Problèmes aux valeurs initiales Problèmes aux valeurs initiales ram Stratification invariante Jussieu Équations différentielles à retard - Solutions numériques Équations différentielles à retard ram Attractors (Mathematics) Delay differential equations Numerical solutions Initial value problems Attraktor (DE-588)4140563-8 gnd Differentialgleichung mit nacheilendem Argument (DE-588)4199298-2 gnd |
| topic_facet | Attracteurs (Mathématiques) Attracteurs (mathématiques) Feedback monotone Forme Problèmes aux valeurs initiales Stratification invariante Équations différentielles à retard - Solutions numériques Équations différentielles à retard Attractors (Mathematics) Delay differential equations Numerical solutions Initial value problems Attraktor Differentialgleichung mit nacheilendem Argument |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010030678&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV009737926 |
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