Nonlinear dynamical systems and Carleman linearization:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
[1991]
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 184 Seiten |
| ISBN: | 9789810205874 9810205872 |
Staff View
MARC
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| 245 | 1 | 0 | |a Nonlinear dynamical systems and Carleman linearization |c Krzysztof Kowalski ; Willi-Hans Steeb |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific |c [1991] | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
1 Introduction 7
2 Mathematical Preliminaries 11
2.1 Kronecker Product of Matrices 11
2.2 Lie Algebras and Lie Series 19
2.3 Banach Spaces and Hilbert Spaces 29
2.4 Quantum Mechanics 37
2.5 Bose Operators and Coherent States 45
2.6 Bose Field Operators and Functional Coherent States 55
2.7 Gateaux Derivative and Variational Equations 61
2.8 Functional Derivative 65
2.9 Lie Algebras of Vector Fields and Bose Operators 69
3 Carleman Embedding Technique 73
3.1 Introduction 73
3.2 Ordinary Differential Equations 75
3.2.1 Introductory Examples 75
3.2.2 General Theory 83
3.3 Difference Equations 94
3.4 Algebraic Equations 98
3.5 Partial Differential Equations 100
4 Linearization in a Hilbert space 103
4.1 Ordinary Differential Equations 103
4.2 Partial Differential Equations 109
3
5 Applications 113
5.1 Secular Terms 113
5.2 Bifurcation Theory and Carleman Linearization 119
5.3 Symmetries and First Integrals 126
5.3.1 Ordinary Differential Equations 126
5.3.2 Partial Differential Equations 137
5.4 Chaos and Ljapunov Exponents 148
6 Other Linearization Techniques 153
6.1 Lie Koopman Linearization 153
6.2 Invertible Point Transformation 157
6.3 Painleve Test and Linearization 161
6.4 The Method of Turning Variables 171
References 175
Index 182
4
|
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| id | DE-604.BV004575363 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:14:31Z |
| institution | BVB |
| isbn | 9789810205874 9810205872 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002814692 |
| oclc_num | 23217201 |
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| owner_facet | DE-12 DE-384 DE-739 DE-703 DE-19 DE-BY-UBM DE-11 DE-188 DE-83 |
| physical | 184 Seiten |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Kowalski, Krzysztof Verfasser aut Nonlinear dynamical systems and Carleman linearization Krzysztof Kowalski ; Willi-Hans Steeb Singapore [u.a.] World Scientific [1991] 184 Seiten txt rdacontent n rdamedia nc rdacarrier Differentiable dynamical systems Differential equations, Nonlinear Hilbert space Linearisierung (DE-588)4199872-8 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 gnd rswk-swf Carleman-Methode (DE-588)4288492-5 gnd rswk-swf Nichtlineares dynamisches System (DE-588)4126142-2 s Linearisierung (DE-588)4199872-8 s Carleman-Methode (DE-588)4288492-5 s DE-604 Steeb, Willi-Hans 1945- Verfasser (DE-588)12155614X aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002814692&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kowalski, Krzysztof Steeb, Willi-Hans 1945- Nonlinear dynamical systems and Carleman linearization Differentiable dynamical systems Differential equations, Nonlinear Hilbert space Linearisierung (DE-588)4199872-8 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Carleman-Methode (DE-588)4288492-5 gnd |
| subject_GND | (DE-588)4199872-8 (DE-588)4126142-2 (DE-588)4288492-5 |
| title | Nonlinear dynamical systems and Carleman linearization |
| title_auth | Nonlinear dynamical systems and Carleman linearization |
| title_exact_search | Nonlinear dynamical systems and Carleman linearization |
| title_full | Nonlinear dynamical systems and Carleman linearization Krzysztof Kowalski ; Willi-Hans Steeb |
| title_fullStr | Nonlinear dynamical systems and Carleman linearization Krzysztof Kowalski ; Willi-Hans Steeb |
| title_full_unstemmed | Nonlinear dynamical systems and Carleman linearization Krzysztof Kowalski ; Willi-Hans Steeb |
| title_short | Nonlinear dynamical systems and Carleman linearization |
| title_sort | nonlinear dynamical systems and carleman linearization |
| topic | Differentiable dynamical systems Differential equations, Nonlinear Hilbert space Linearisierung (DE-588)4199872-8 gnd Nichtlineares dynamisches System (DE-588)4126142-2 gnd Carleman-Methode (DE-588)4288492-5 gnd |
| topic_facet | Differentiable dynamical systems Differential equations, Nonlinear Hilbert space Linearisierung Nichtlineares dynamisches System Carleman-Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002814692&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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