Dynamical systems in the plane:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Academic Press
1968
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 235 S.: graph.Darst. |
Staff View
MARC
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| 100 | 1 | |a Hájek, Otomar |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Dynamical systems in the plane |c Otomar Hájek |
| 264 | 1 | |a London [u.a.] |b Academic Press |c 1968 | |
| 300 | |a VIII, 235 S.: graph.Darst. | ||
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface V
Contents VII
Introduction 1
Topological Preliminaries 3
Chapter I. Differential Equations
1. Differential Equations 15
2. Some Examples 23
3. Generalization: Non Euclidean Carrier Spaces 26
4. Generalization: Non differentiability 31
5. Discontinuous Automatic Control 34
6. Generalization: Dynamical Systems and Flows 39
Chapter II. Abstract Dynamical Systems
1. Local Dynamical Systems 44
2. Semi dynamical Systems 47
3. Categories of Dynamical Systems 52
4. Trajectories, Cycles, Critical Points 64
5. Invariance 69
6. Sections 75
Chapter III. Inherent Topology
1. Inherent Topology 79
2. Local Determinacy Theorems 84
Chapter IV. Continuous Dynamical Systems
1. Continuous Dynamical Systems 92
2. Dynamical Concepts and Continuity 95
3. Topologico dynamical Categories 103
4. Limit Sets, Orbital Stability 111
Vil
VIII
Chapter V. Extension of Dynamical Systems
1. Extension of Abstract Dynamical Systems 116
2. Extension of Continuous Dynamical Systems 122
3. Openness Conditions 126
Chapter VI. Dynamical Systems on Special Carrier Spaces
1. Dynamical Systems on Hausdorff Spaces 132
2. Dynamical Systems on Tychonov Spaces 140
3. Dynamical Systems on Locally Compact Spaces 149
4. Dynamical Systems on Manifolds 154
Chapter VII. Transversal Theory
1. Continua sections are Curves 162
2. Transversals, Canonic Homeomorphisms 164
3. Digression: Differential Transversals 169
4. Non intersection Theorems 172
Chapter VIII. Limit Sets on 2 manifolds
1. Structure of Limit Sets 181
2. Stability of Limit Sets 189
3. Stability of Cycles 195
4. Isolated Critical Points 197
Chapter IX. Flows
1. Flows and Semi flows 204
2. Special Types of Semi flows 210
3. Periodic Solutions 216
4. Flows and Dynamical Systems 221
Problems 225
Theorems and Definitions 227
References 229
Index 231
|
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| ctrlnum | (OCoLC)343328 (DE-599)BVBBV006118033 |
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| dewey-search | 515.35 510 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV006118033 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:40:33Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003864855 |
| oclc_num | 343328 |
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| physical | VIII, 235 S.: graph.Darst. |
| publishDate | 1968 |
| publishDateSearch | 1968 |
| publishDateSort | 1968 |
| publisher | Academic Press |
| record_format | marc |
| spelling | Hájek, Otomar Verfasser aut Dynamical systems in the plane Otomar Hájek London [u.a.] Academic Press 1968 VIII, 235 S.: graph.Darst. txt rdacontent n rdamedia nc rdacarrier Differential equations Topological dynamics Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Ebene (DE-588)4150968-7 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Dynamisches System (DE-588)4013396-5 s DE-604 Ebene (DE-588)4150968-7 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003864855&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hájek, Otomar Dynamical systems in the plane Differential equations Topological dynamics Differentialgleichung (DE-588)4012249-9 gnd Dynamisches System (DE-588)4013396-5 gnd Ebene (DE-588)4150968-7 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4013396-5 (DE-588)4150968-7 |
| title | Dynamical systems in the plane |
| title_auth | Dynamical systems in the plane |
| title_exact_search | Dynamical systems in the plane |
| title_full | Dynamical systems in the plane Otomar Hájek |
| title_fullStr | Dynamical systems in the plane Otomar Hájek |
| title_full_unstemmed | Dynamical systems in the plane Otomar Hájek |
| title_short | Dynamical systems in the plane |
| title_sort | dynamical systems in the plane |
| topic | Differential equations Topological dynamics Differentialgleichung (DE-588)4012249-9 gnd Dynamisches System (DE-588)4013396-5 gnd Ebene (DE-588)4150968-7 gnd |
| topic_facet | Differential equations Topological dynamics Differentialgleichung Dynamisches System Ebene |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003864855&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hajekotomar dynamicalsystemsintheplane |