Elements of differentiable dynamics and bifurcation theory:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston u.a.
Acad. Press u.a.
1989
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 187 S. graph. Darst. |
| ISBN: | 0126017107 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Preface vii
Part 1. Differentiable Dynamical Systems 1
1. Manifolds 1
2. Differentiable Dynamics 4
3. Vector Fields 9
4. Fixed Points and Periodic Orbits. Poincare Map 13
5. Hyperbolic Fixed Points and Periodic Orbits 18
6. Stable and Unstable Manifolds 26
7. Center Manifolds 32
8. Attractors, Bifurcations, Genericity 37
Note 47
Problems 48
Part 2. Bifurcations 55
9. Bifurcations of Fixed Points of a Map 55
10. Bifurcation of Periodic Orbits. The Case of Semiflows 62
11. The Saddle Node Bifurcation 64
12. The Flip Bifurcation 67
13. The Hopf Bifurcation 74
14. Persistence of Normally Hyperbolic Manifolds 88
15. Hyperbolic Sets 94
16. Homoclinic and Heteroclinic Intersections 106
17. Global Bifurcations 118
Note 122
Problems 123
vi Elements of Diflerentiable Dynamics and Bifurcation Theory
Part 3. Appendices 131
A. Sets, Topology, Metric, Banach Spaces 131
B. Manifolds 138
C. Topological Dynamics and Ergodic Theory 151
D. Axiom A Dynamical Systems 154
References 172
Index 183
|
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| building | Verbundindex |
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| classification_rvk | SK 520 SK 540 |
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| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004252805 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:10:28Z |
| institution | BVB |
| isbn | 0126017107 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002645510 |
| oclc_num | 246531376 |
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| owner_facet | DE-91G DE-BY-TUM DE-384 DE-703 DE-355 DE-BY-UBR DE-29T DE-20 DE-19 DE-BY-UBM DE-83 DE-11 DE-188 |
| physical | VIII, 187 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | Acad. Press u.a. |
| record_format | marc |
| spelling | Ruelle, David 1935- Verfasser (DE-588)113082711 aut Elements of differentiable dynamics and bifurcation theory Boston u.a. Acad. Press u.a. 1989 VIII, 187 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Dynamisches System (DE-588)4013396-5 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 s DE-604 Differenzierbares dynamisches System (DE-588)4137931-7 s Dynamisches System (DE-588)4013396-5 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002645510&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ruelle, David 1935- Elements of differentiable dynamics and bifurcation theory Verzweigung Mathematik (DE-588)4078889-1 gnd Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| subject_GND | (DE-588)4078889-1 (DE-588)4013396-5 (DE-588)4137931-7 |
| title | Elements of differentiable dynamics and bifurcation theory |
| title_auth | Elements of differentiable dynamics and bifurcation theory |
| title_exact_search | Elements of differentiable dynamics and bifurcation theory |
| title_full | Elements of differentiable dynamics and bifurcation theory |
| title_fullStr | Elements of differentiable dynamics and bifurcation theory |
| title_full_unstemmed | Elements of differentiable dynamics and bifurcation theory |
| title_short | Elements of differentiable dynamics and bifurcation theory |
| title_sort | elements of differentiable dynamics and bifurcation theory |
| topic | Verzweigung Mathematik (DE-588)4078889-1 gnd Dynamisches System (DE-588)4013396-5 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| topic_facet | Verzweigung Mathematik Dynamisches System Differenzierbares dynamisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002645510&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ruelledavid elementsofdifferentiabledynamicsandbifurcationtheory |