The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
2009
|
| Series: | Memoirs of the American Mathematical Society
945 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 201, number 945 (fourth of 5 numbers)" Literaturverz. S. 105 - 106 |
| Physical Description: | VI, 106 S. graph. Darst. |
| ISBN: | 9780821844274 |
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| 245 | 1 | 0 | |a The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations |c Tobias H. Jäger |
| 246 | 1 | |a The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations | |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 2009 | |
| 300 | |a VI, 106 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804139929240862720 |
|---|---|
| adam_text | Titel: The creation of strange non-chaotic attractors in non-smooth saddle node bifurcations
Autor: Jäger, Tobias Henrik
Jahr: 2009
Contents
Chapter 1. Introduction 1
1.1. Overview 3
1.2. Basic definitions and notations 5
1.3. Examples of non-smooth saddle-node bifurcations 6
1.4. The mechanism: Exponential evolution of peaks 15
Chapter 2. Statement of the main results and applications 21
2.1. A general setting for saddle-node bifurcations in qpf interval maps 21
2.2. Sink-source-orbits and the existence of SNA 23
2.3. Non-smooth bifurcations 26
2.4. Application to the parameter families 29
Chapter 3. Saddle-node bifurcations and sink-source-orbits 36
3.1. Equivalence classes of invariant graphs and the essential closure 36
3.2. Saddle-node bifurcations: Proof of Theorem 2.1 37
3.3. Sink-source-orbits and SNA: Proof of Theorem 2.4 42
Chapter 4. The strategy for the construction of the sink-source-orbits 44
4.1. The first stage of the construction 44
4.2. Dealing with the first close return 46
4.3. Admissible and regular times 50
4.4. Outline of the further strategy 51
Chapter 5. Tools for the construction 54
5.1. Comparing orbits 54
5.2. Approximating sets 59
5.3. Exceptional intervals and admissible times 62
5.4. Regular times 68
Chapter 6. Construction of the sink-source orbits: One-sided forcing 73
6.1. Proof of the induction scheme 77
Chapter 7. Construction of the sink-source-orbits: Symmetric forcing 92
7.1. Proof of the induction scheme 95
Bibliography 105
|
| any_adam_object | 1 |
| author | Oertel-Jäger, Tobias 1976- |
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| author_sort | Oertel-Jäger, Tobias 1976- |
| author_variant | t o j toj |
| building | Verbundindex |
| bvnumber | BV035719066 |
| callnumber-first | Q - Science |
| callnumber-label | QA614 |
| callnumber-raw | QA614.813 |
| callnumber-search | QA614.813 |
| callnumber-sort | QA 3614.813 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)387792288 (DE-599)GBV601962249 |
| dewey-full | 515/.39 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.39 |
| dewey-search | 515/.39 |
| dewey-sort | 3515 239 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV035719066 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:51:53Z |
| institution | BVB |
| isbn | 9780821844274 |
| language | English |
| lccn | 2009023713 |
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| physical | VI, 106 S. graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | American Math. Soc. |
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| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Oertel-Jäger, Tobias 1976- Verfasser (DE-588)130478121 aut The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations Tobias H. Jäger The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations Providence, RI American Math. Soc. 2009 VI, 106 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 945 "Volume 201, number 945 (fourth of 5 numbers)" Literaturverz. S. 105 - 106 Atratores larpcal Sistemas dinâmicos diferenciáveis larpcal Teoria da bifurcação larpcal Attractors (Mathematics) Bifurcation theory Differentiable dynamical systems Seltsamer Attraktor (DE-588)4140566-3 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Seltsamer Attraktor (DE-588)4140566-3 s Verzweigung Mathematik (DE-588)4078889-1 s DE-604 Memoirs of the American Mathematical Society 945 (DE-604)BV008000141 945 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017995885&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Oertel-Jäger, Tobias 1976- The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations Memoirs of the American Mathematical Society Atratores larpcal Sistemas dinâmicos diferenciáveis larpcal Teoria da bifurcação larpcal Attractors (Mathematics) Bifurcation theory Differentiable dynamical systems Seltsamer Attraktor (DE-588)4140566-3 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd |
| subject_GND | (DE-588)4140566-3 (DE-588)4078889-1 |
| title | The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations |
| title_alt | The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations |
| title_auth | The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations |
| title_exact_search | The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations |
| title_full | The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations Tobias H. Jäger |
| title_fullStr | The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations Tobias H. Jäger |
| title_full_unstemmed | The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations Tobias H. Jäger |
| title_short | The creation of strange non-chaotic attractors in non-smooth saddle-node bifurcations |
| title_sort | the creation of strange non chaotic attractors in non smooth saddle node bifurcations |
| topic | Atratores larpcal Sistemas dinâmicos diferenciáveis larpcal Teoria da bifurcação larpcal Attractors (Mathematics) Bifurcation theory Differentiable dynamical systems Seltsamer Attraktor (DE-588)4140566-3 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd |
| topic_facet | Atratores Sistemas dinâmicos diferenciáveis Teoria da bifurcação Attractors (Mathematics) Bifurcation theory Differentiable dynamical systems Seltsamer Attraktor Verzweigung Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017995885&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT oerteljagertobias thecreationofstrangenonchaoticattractorsinnonsmoothsaddlenodebifurcations |