Methods of Hilbert spaces in the theory of nonlinear dynamical systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1994
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 122 S. |
| ISBN: | 9810217536 |
Staff View
MARC
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Record in the Search Index
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| adam_text | CONTENTS
Preface vii
Introduction xi
Chapter 1. Ordinary differential equations 1
1.1 Evolution equation in Hilbert space 1
1.2 Operator evolution equations 7
1.3 Symmetries and first integrals 13
1.4 Alternative linearization approaches 20
1.4.1 Wackerbauer linearization 20
1.4.2 Koopman Alanson linearization 23
Chapter 2. Partial differential equations 35
2.1 Evolution equation in Hilbert space 35
2.2 Operator evolution equations 40
2.3 Symmetries and first integrals 42
Chapter 3. Difference equations 47
3.1 Evolution equation in Hilbert space 47
3.2 Operator evolution equations 49
3.3 Functional equations 51
3.3.1 Abstract equation in Hilbert space 51
3.3.2 Linearization transformations 52
Chapter 4. Applications 55
4.1 First integrals 55
4.1.1 Ordinary differential equations 55
4.1.2 Partial differential equations 59
4.2 Linearization transformations 65
4.2.1 Ordinary differential equations 65
4.2.2 Partial differential equations 68
x CONTENTS
4.3 Backlund transformations 71
4.4 Feigenbaum Cvitanovic renormalization equations 74
4.5 Chaos 76
Appendix A. Hilbert spaces 79
Appendix B. Quantum mechanics 83
Appendix C. Bose operators and coherent states 93
C.I Bose operators and coherent states for fc degrees of freedom 93
C.2 Bose field operators and functional coherent states 101
Appendix D. Position and momentum operators 109
Appendix E. Functional derivative 113
Bibliography 117
Symbol index 121
Subject index 123
|
| any_adam_object | 1 |
| author | Kowalski, Krzysztof |
| author_facet | Kowalski, Krzysztof |
| author_role | aut |
| author_sort | Kowalski, Krzysztof |
| author_variant | k k kk |
| building | Verbundindex |
| bvnumber | BV010482615 |
| callnumber-first | Q - Science |
| callnumber-label | QA322 |
| callnumber-raw | QA322.4 |
| callnumber-search | QA322.4 |
| callnumber-sort | QA 3322.4 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)31366659 (DE-599)BVBBV010482615 |
| dewey-full | 515.733 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.733 |
| dewey-search | 515.733 |
| dewey-sort | 3515.733 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010482615 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:53:16Z |
| institution | BVB |
| isbn | 9810217536 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006985655 |
| oclc_num | 31366659 |
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| owner | DE-12 |
| owner_facet | DE-12 |
| physical | XIII, 122 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Kowalski, Krzysztof Verfasser aut Methods of Hilbert spaces in the theory of nonlinear dynamical systems K. Kowalski Singapore [u.a.] World Scientific 1994 XIII, 122 S. txt rdacontent n rdamedia nc rdacarrier Hilbert, espaces de ram Théories non-linéaires ram Differentiable dynamical systems Differential equations, Nonlinear Hilbert space Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Hilbert-Raum (DE-588)4159850-7 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Differentialoperator (DE-588)4012251-7 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 s Nichtlineare Differentialgleichung (DE-588)4205536-2 s Hilbert-Raum (DE-588)4159850-7 s DE-604 Evolutionsgleichung (DE-588)4129061-6 s Differentialoperator (DE-588)4012251-7 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006985655&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kowalski, Krzysztof Methods of Hilbert spaces in the theory of nonlinear dynamical systems Hilbert, espaces de ram Théories non-linéaires ram Differentiable dynamical systems Differential equations, Nonlinear Hilbert space Differenzierbares dynamisches System (DE-588)4137931-7 gnd Hilbert-Raum (DE-588)4159850-7 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Differentialoperator (DE-588)4012251-7 gnd |
| subject_GND | (DE-588)4137931-7 (DE-588)4159850-7 (DE-588)4205536-2 (DE-588)4129061-6 (DE-588)4012251-7 |
| title | Methods of Hilbert spaces in the theory of nonlinear dynamical systems |
| title_auth | Methods of Hilbert spaces in the theory of nonlinear dynamical systems |
| title_exact_search | Methods of Hilbert spaces in the theory of nonlinear dynamical systems |
| title_full | Methods of Hilbert spaces in the theory of nonlinear dynamical systems K. Kowalski |
| title_fullStr | Methods of Hilbert spaces in the theory of nonlinear dynamical systems K. Kowalski |
| title_full_unstemmed | Methods of Hilbert spaces in the theory of nonlinear dynamical systems K. Kowalski |
| title_short | Methods of Hilbert spaces in the theory of nonlinear dynamical systems |
| title_sort | methods of hilbert spaces in the theory of nonlinear dynamical systems |
| topic | Hilbert, espaces de ram Théories non-linéaires ram Differentiable dynamical systems Differential equations, Nonlinear Hilbert space Differenzierbares dynamisches System (DE-588)4137931-7 gnd Hilbert-Raum (DE-588)4159850-7 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Differentialoperator (DE-588)4012251-7 gnd |
| topic_facet | Hilbert, espaces de Théories non-linéaires Differentiable dynamical systems Differential equations, Nonlinear Hilbert space Differenzierbares dynamisches System Hilbert-Raum Nichtlineare Differentialgleichung Evolutionsgleichung Differentialoperator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006985655&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kowalskikrzysztof methodsofhilbertspacesinthetheoryofnonlineardynamicalsystems |