Nonlinear resonance analysis: theory, computation, applications
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2011
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 223 S. Ill., graph. Darst. |
| ISBN: | 9780521763608 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Nonlinear resonance analysis
Autor: Kartašova, Elena
Jahr: 2011
Contents
Preface page ix
Glossary xiv
1 Exposition 1
1.1 An easy start 1
1.2 Two classifications of PDEs 11
1.3 Hamiltonian formalism 19
2 Kinematics: Wavenumbers 30
2.1 An easy start 30
2.2 Irrational dispersion function, analytical results 32
2.3 ^-class decomposition 45
2.4 Rational dispersion function 57
2.5 General form of dispersion function 60
3 Kinematics: Resonance clusters 64
3.1 An easy start 64
3.2 Topological structure vs dynamical system 66
3.3 Three-wave resonances 69
3.4 Four-wave resonances 76
3.5 AW-diagrams 82
3.6 What is beyond kinematics? 88
4 Dynamics 90
4.1 An easy start 90
4.2 Decay instability 93
4.3 A triad 96
4.4 Clusters of triads 106
viii Contents
4.5 A quartet 116
4.6 Explosive instability 117
4.7 NR-reduced numerical models 122
4.8 What is beyond dynamics? 127
5 Mechanical playthings 130
5.1 Linear pendulum 130
5.2 Elastic pendulum 138
6 Wave turbulent regimes 144
6.1 An easy start 144
6.2 Quasi-resonances vs approximate interactions 147
6.3 Model of laminated turbulence 150
6.4 Energy cascades: dynamic vs kinetic 158
6.5 Rotational capillary waves 161
6.6 Discrete regimes in various wave systems 170
6.7 Open problems 176
7 EpUogue 182
Appendix Software 185
References 209
Index 221
|
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| id | DE-604.BV039111592 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T23:25:36Z |
| institution | BVB |
| isbn | 9780521763608 |
| language | English |
| lccn | 2010027604 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-022655111 |
| oclc_num | 698575948 |
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| owner | DE-91G DE-BY-TUM DE-703 |
| owner_facet | DE-91G DE-BY-TUM DE-703 |
| physical | XV, 223 S. Ill., graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| spelling | Tobisch, Elena 1956- Verfasser (DE-588)142978663 aut Nonlinear resonance analysis theory, computation, applications Elena Kartashova Cambridge [u.a.] Cambridge Univ. Press 2011 XV, 223 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Resonanzmethode (DE-588)4177858-3 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Nichtlineares Phänomen (DE-588)4136065-5 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Resonanzmethode (DE-588)4177858-3 s Nichtlineares Phänomen (DE-588)4136065-5 s Partielle Differentialgleichung (DE-588)4044779-0 s Nichtlineare Differentialgleichung (DE-588)4205536-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022655111&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Tobisch, Elena 1956- Nonlinear resonance analysis theory, computation, applications Resonanzmethode (DE-588)4177858-3 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Nichtlineares Phänomen (DE-588)4136065-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4177858-3 (DE-588)4205536-2 (DE-588)4136065-5 (DE-588)4044779-0 |
| title | Nonlinear resonance analysis theory, computation, applications |
| title_auth | Nonlinear resonance analysis theory, computation, applications |
| title_exact_search | Nonlinear resonance analysis theory, computation, applications |
| title_full | Nonlinear resonance analysis theory, computation, applications Elena Kartashova |
| title_fullStr | Nonlinear resonance analysis theory, computation, applications Elena Kartashova |
| title_full_unstemmed | Nonlinear resonance analysis theory, computation, applications Elena Kartashova |
| title_short | Nonlinear resonance analysis |
| title_sort | nonlinear resonance analysis theory computation applications |
| title_sub | theory, computation, applications |
| topic | Resonanzmethode (DE-588)4177858-3 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Nichtlineares Phänomen (DE-588)4136065-5 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Resonanzmethode Nichtlineare Differentialgleichung Nichtlineares Phänomen Partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=022655111&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT tobischelena nonlinearresonanceanalysistheorycomputationapplications |