Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
1989
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
402 |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Haupttitelbl.: Druckfehler des ersten Titelwortes "Hyberbolic ..." Volume 79, Number 402 (second of 4 numbers) |
| Beschreibung: | IV, 104 S. graph. Darst. |
| ISBN: | 0821824678 |
Internformat
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| 245 | 1 | 0 | |a Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations |c Hans-Otto Walther |
| 246 | 1 | 3 | |a Hyberbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations |
| 264 | 1 | |a Providence, RI |c 1989 | |
| 300 | |a IV, 104 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society |v 402 | |
| 500 | |a Haupttitelbl.: Druckfehler des ersten Titelwortes "Hyberbolic ..." | ||
| 500 | |a Volume 79, Number 402 (second of 4 numbers) | ||
| 830 | 0 | |a Memoirs of the American Mathematical Society |v 402 |w (DE-604)BV008000141 |9 402 | |
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Datensatz im Suchindex
| _version_ | 1804140318744903680 |
|---|---|
| adam_text | CONTENTS
Introduction 1
Preliminaries 8
Chapter I: Hyperbolic periodic solutions 12
1. Periodic solutions 13
2. Linearization 14
3. Translation by variational equations along periodic solutions 16
4. Eigenvalues as zeros of analytic functions 18
5. Zeros of q 26
a
6. Hyperbolicity 30
7. Comparison results 31
Chapter II: On hyperbolic fixed points 33
1. Local invariant manifolds 34
2. Proof of Proposition 1.1 40
Chapter III: Poincare maps and solutions close to x 44
1. Poincare maps 45
2. Departure of solutions from the local unstable manifold of Pfl 49
3. Intersecting H above and below the local stable manifold 53
4. A condition for transversality 62
Chapter IV: Heteroclinic connections between periodic orbits,
homoclinic points of Poincare maps, transversality 66
1. Escape from x in domains of monotonicity 67
2. Periodic nonlinearities 75
3. Transport of X £ U and v € T U for 0 t t+ 84
4. Heteroclinic solutions and transversal homoclinic points 92
Chapter V: On chaotic behavior 98
References 103
iii
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| any_adam_object | 1 |
| author | Walther, Hans-Otto 1948- |
| author_GND | (DE-588)143534068 |
| author_facet | Walther, Hans-Otto 1948- |
| author_role | aut |
| author_sort | Walther, Hans-Otto 1948- |
| author_variant | h o w how |
| building | Verbundindex |
| bvnumber | BV024364809 |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)246281729 (DE-599)BVBBV024364809 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV024364809 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:58:05Z |
| institution | BVB |
| isbn | 0821824678 |
| language | English |
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| physical | IV, 104 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Walther, Hans-Otto 1948- Verfasser (DE-588)143534068 aut Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations Hans-Otto Walther Hyberbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations Providence, RI 1989 IV, 104 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 402 Haupttitelbl.: Druckfehler des ersten Titelwortes "Hyberbolic ..." Volume 79, Number 402 (second of 4 numbers) Memoirs of the American Mathematical Society 402 (DE-604)BV008000141 402 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018345852&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Walther, Hans-Otto 1948- Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations Memoirs of the American Mathematical Society |
| title | Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations |
| title_alt | Hyberbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations |
| title_auth | Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations |
| title_exact_search | Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations |
| title_full | Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations Hans-Otto Walther |
| title_fullStr | Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations Hans-Otto Walther |
| title_full_unstemmed | Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations Hans-Otto Walther |
| title_short | Hyperbolic periodic solutions, heteroclinic connections and transversal homoclinic points in autonomous differential delay equations |
| title_sort | hyperbolic periodic solutions heteroclinic connections and transversal homoclinic points in autonomous differential delay equations |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018345852&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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