Dynamics in one dimension:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1992
|
| Schriftenreihe: | Lecture notes in mathematics
1513 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 235 - 242 |
| Beschreibung: | VIII, 247 S. graph. Darst. |
| ISBN: | 3540553096 0387553096 |
Internformat
MARC
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| 100 | 1 | |a Block, Louis S. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Dynamics in one dimension |c L. S. Block ; W. A. Coppel |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1992 | |
| 300 | |a VIII, 247 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1513 | |
| 500 | |a Literaturverz. S. 235 - 242 | ||
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| 650 | 0 | 7 | |a Topologische Dynamik |0 (DE-588)4253345-4 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804119700180828160 |
|---|---|
| adam_text | Contents
Introduction 1
I Periodic Orbits 5
1 Sarkovskii s theorem 5
2 Supplementary remarks 13
II Turbulence 25
1 Preliminary results 25
2 Main theorems 28
3 Symbolic dynamics 34
4 Perturbed maps 38
5 Smooth maps 41
III Unstable Manifolds and Homoclinic Points 47
1 Unstable manifolds of fixed points 47
2 Unstable manifolds of periodic points 53
3 Homoclinic points 59
Notes 66
IV Topological Dynamics 69
1 Limit sets 69
2 Recurrent and non wandering points 77
Notes 88
V Topological Dynamics (continued) 91
1 Minimal sets and strong recurrence 91
2 Asymptotically stable sets 99
3 Chain recurrence 106
vm
VI Chaotic and Non chaotic Maps 121
1 Characterizations of chaotic maps 121
2 Regular recurrence for non chaotic maps 128
3 Uniformly non chaotic maps 136
4 Chain recurrence for non chaotic maps 150
5 Transitivity and topological mixing 154
6 Piecewise monotone maps 163
Notes 166
VII Types of Periodic Orbits 167
1 Forcing 167
2 Primary periodic orbits 176
VIII Topological Entropy 189
1 Definition and general properties 189
2 Results for a compact interval 196
3 Misiurewicz s theorem 208
IX Maps of the Circle 219
1 Lifts 219
2 Periodic points 222
3 Topological dynamics 224
4 Topological entropy and chaotic maps 227
5 Degree one maps 230
References 235
Index 243
Notations 249
|
| any_adam_object | 1 |
| author | Block, Louis S. Coppel, William A. |
| author_GND | (DE-588)108974839 |
| author_facet | Block, Louis S. Coppel, William A. |
| author_role | aut aut |
| author_sort | Block, Louis S. |
| author_variant | l s b ls lsb w a c wa wac |
| building | Verbundindex |
| bvnumber | BV005485547 |
| classification_rvk | SI 850 |
| classification_tum | MAT 576f |
| ctrlnum | (OCoLC)243725245 (DE-599)BVBBV005485547 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005485547 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:30:21Z |
| institution | BVB |
| isbn | 3540553096 0387553096 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003434348 |
| oclc_num | 243725245 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-12 DE-355 DE-BY-UBR DE-20 DE-824 DE-19 DE-BY-UBM DE-706 DE-634 DE-188 DE-11 |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-12 DE-355 DE-BY-UBR DE-20 DE-824 DE-19 DE-BY-UBM DE-706 DE-634 DE-188 DE-11 |
| physical | VIII, 247 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Block, Louis S. Verfasser aut Dynamics in one dimension L. S. Block ; W. A. Coppel Berlin [u.a.] Springer 1992 VIII, 247 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1513 Literaturverz. S. 235 - 242 Dimension 1 (DE-588)4323094-5 gnd rswk-swf Dynamik (DE-588)4013384-9 gnd rswk-swf Stetige Abbildung (DE-588)4183161-5 gnd rswk-swf Chaotisches System (DE-588)4316104-2 gnd rswk-swf Topologische Dynamik (DE-588)4253345-4 gnd rswk-swf Iteration (DE-588)4123457-1 gnd rswk-swf Topologische Dynamik (DE-588)4253345-4 s Iteration (DE-588)4123457-1 s DE-604 Stetige Abbildung (DE-588)4183161-5 s Dynamik (DE-588)4013384-9 s Chaotisches System (DE-588)4316104-2 s Dimension 1 (DE-588)4323094-5 s Coppel, William A. Verfasser (DE-588)108974839 aut Lecture notes in mathematics 1513 (DE-604)BV000676446 1513 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003434348&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Block, Louis S. Coppel, William A. Dynamics in one dimension Lecture notes in mathematics Dimension 1 (DE-588)4323094-5 gnd Dynamik (DE-588)4013384-9 gnd Stetige Abbildung (DE-588)4183161-5 gnd Chaotisches System (DE-588)4316104-2 gnd Topologische Dynamik (DE-588)4253345-4 gnd Iteration (DE-588)4123457-1 gnd |
| subject_GND | (DE-588)4323094-5 (DE-588)4013384-9 (DE-588)4183161-5 (DE-588)4316104-2 (DE-588)4253345-4 (DE-588)4123457-1 |
| title | Dynamics in one dimension |
| title_auth | Dynamics in one dimension |
| title_exact_search | Dynamics in one dimension |
| title_full | Dynamics in one dimension L. S. Block ; W. A. Coppel |
| title_fullStr | Dynamics in one dimension L. S. Block ; W. A. Coppel |
| title_full_unstemmed | Dynamics in one dimension L. S. Block ; W. A. Coppel |
| title_short | Dynamics in one dimension |
| title_sort | dynamics in one dimension |
| topic | Dimension 1 (DE-588)4323094-5 gnd Dynamik (DE-588)4013384-9 gnd Stetige Abbildung (DE-588)4183161-5 gnd Chaotisches System (DE-588)4316104-2 gnd Topologische Dynamik (DE-588)4253345-4 gnd Iteration (DE-588)4123457-1 gnd |
| topic_facet | Dimension 1 Dynamik Stetige Abbildung Chaotisches System Topologische Dynamik Iteration |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003434348&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT blocklouiss dynamicsinonedimension AT coppelwilliama dynamicsinonedimension |