Recurrence and topology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
2007
|
| Schriftenreihe: | Graduate studies in mathematics
85 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | IX, 221 S. graph. Darst. |
| ISBN: | 9780821842348 082184234X |
Internformat
MARC
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| 020 | |a 082184234X |9 0-8218-4234-X | ||
| 035 | |a (OCoLC)610676323 | ||
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| 100 | 1 | |a Alongi, John M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Recurrence and topology |c John M. Alongi ; Gail S. Nelson |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2007 | |
| 300 | |a IX, 221 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Graduate studies in mathematics |v 85 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Recurrent sequences (Mathematics) | |
| 650 | 4 | |a Point mappings (Mathematics) | |
| 650 | 4 | |a Topology | |
| 700 | 1 | |a Nelson, Gail S. |e Sonstige |4 oth | |
| 776 | 0 | 8 | |i Erscheint auch als |n Online-Ausgabe |z 978-1-4704-2115-1 |
| 830 | 0 | |a Graduate studies in mathematics |v 85 |w (DE-604)BV009739289 |9 85 | |
| 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=018588820&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-018588820 | ||
Datensatz im Suchindex
| _version_ | 1804140635298463744 |
|---|---|
| adam_text | Contents
Foreword vii
Chapter 1. Flows 1
§1.1. Flows and Orbits 1
§1.2. Topologically Conjugate Flows 8
§1.3. Topologically Equivalent Flows 10
§1.4. Invariant Sets 18
§1.5. Exercises 20
Chapter 2. Recurrent Points 23
§2.1. Fixed Points 24
§2.2. Periodic Points 28
§2.3. Limit Sets 38
§2.4. Poincare Recurrent Points 51
§2.5. Nonwandering Points 56
§2.6. Central Points 64
§2.7. Chain Recurrent Points 69
§2.8. A Summary of Recurrent Sets and Their Properties 93
§2.9. Exercises 93
Chapter 3. Irreducible Sets 99
§3.1. Minimal Sets 99
§3.2. Topologically Transitive Sets 102
§3.3. Chain Transitive Sets 109
v
vi Contents
§3.4. Attracting Sets and Repelling Sets 118
§3.5. Exercises 133
Chapter 4. Test Functions 139
§4.1. Potential Functions on Euclidean Spaces and Surfaces 139
§4.2. Hamiltonian Functions 148
§4.3. Invariant Functions 161
§4.4. Weak and Strong Lyapunov Functions 162
§4.5. Potential Functions on Riemannian Manifolds 167
§4.6. Morse Functions 172
§4.7. Complete Lyapunov Functions 176
§4.8. The Fundamental Theorem of Dynamical Systems 178
§4.9. Exercises 191
Afterword 197
Appendix A. Discrete Dynamical Systems 201
Appendix B. Circle Rotations 205
Appendix C. The Hausdorff Metric 209
Bibliography 213
Index 217
|
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| id | DE-604.BV024616554 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:03:07Z |
| institution | BVB |
| isbn | 9780821842348 082184234X |
| language | English |
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| physical | IX, 221 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
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| publisher | American Math. Soc. |
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| series | Graduate studies in mathematics |
| series2 | Graduate studies in mathematics |
| spelling | Alongi, John M. Verfasser aut Recurrence and topology John M. Alongi ; Gail S. Nelson Providence, RI American Math. Soc. 2007 IX, 221 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Graduate studies in mathematics 85 Includes bibliographical references and index Recurrent sequences (Mathematics) Point mappings (Mathematics) Topology Nelson, Gail S. Sonstige oth Erscheint auch als Online-Ausgabe 978-1-4704-2115-1 Graduate studies in mathematics 85 (DE-604)BV009739289 85 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018588820&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Alongi, John M. Recurrence and topology Graduate studies in mathematics Recurrent sequences (Mathematics) Point mappings (Mathematics) Topology |
| title | Recurrence and topology |
| title_auth | Recurrence and topology |
| title_exact_search | Recurrence and topology |
| title_full | Recurrence and topology John M. Alongi ; Gail S. Nelson |
| title_fullStr | Recurrence and topology John M. Alongi ; Gail S. Nelson |
| title_full_unstemmed | Recurrence and topology John M. Alongi ; Gail S. Nelson |
| title_short | Recurrence and topology |
| title_sort | recurrence and topology |
| topic | Recurrent sequences (Mathematics) Point mappings (Mathematics) Topology |
| topic_facet | Recurrent sequences (Mathematics) Point mappings (Mathematics) Topology |
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