Oscillatory evolution processes: quantitative analyses arising from applied science
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Manchester u.a.
Manchester Univ. Press
1989
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Schriftenreihe: | Nonlinear science
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Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | VI, 329 S. graph. Darst. |
ISBN: | 0719022126 |
Internformat
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245 | 1 | 0 | |a Oscillatory evolution processes |b quantitative analyses arising from applied science |c I. Gumowski |
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650 | 4 | |a Oscillations non linéaires | |
650 | 4 | |a Nonlinear oscillations | |
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Datensatz im Suchindex
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adam_text | Contents
Preface vi
1 Introduction and statement of the problem 1
Part I Second order Lx = O s with an explicit periodic t
dependence 15
2 Construction of particular solutions and local features
of the phase portrait 17
3 Linearly excited parametric resonance in the presence of
a cubic nonlinearity 45
4 Linearly excited parametric resonance in the presence of
a quadratic nonlinearity 59
5 Nonlinear parametric resonance: cubic nonlinearity 66
6 Nonlinear parametric resonance: quadratic nonlinearity 79
7 Nonlinear parametric resonance: quadratic and cubic
nonlinearity 94
8 External resonance: quadratic nonlinearities 104
9 External resonance in the presence of a periodic
nonlinearity: oscillatory states 135
10 Parametric resonance in the presence of a periodic
nonlinearity: oscillatory states 156
11 Periodic time and space dependence: rotational steady
states exploratory analysis 176
12 Periodic time and space dependence: rotational steady
states a stroboscopic representation 191
13 Periodic time and space dependence: undamped
rotational steady states construction of solutions 206
vi Contents
14 Periodic time and space dependence: weakly damped
steady states 226
15 Interactions between two time periodicities 232
16 Some global properties of a class of second order
Lx = O s 241
Part II Higher order Lx = O s and some adequacy problems 24S
17 Alternative forms of third order Lx = O s 247
18 Particular third order Lx = O s: construction of
solutions 251
19 Particular fourth order Lx — O s: construction of
solutions 266
20 Some Lx = O s with pure delay: construction of
solutions 282
21 Self excited oscillatory steady states in a partial
differential equation 299
22 Some oscillatory processes lacking an adequate Lx = 0 313
References 322
Index 327
|
any_adam_object | 1 |
author | Gumowski, Igor |
author_facet | Gumowski, Igor |
author_role | aut |
author_sort | Gumowski, Igor |
author_variant | i g ig |
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callnumber-subject | QA - Mathematics |
ctrlnum | (OCoLC)22983607 (DE-599)BVBBV005432973 |
dewey-full | 531.32 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 531 - Classical mechanics |
dewey-raw | 531.32 |
dewey-search | 531.32 |
dewey-sort | 3531.32 |
dewey-tens | 530 - Physics |
discipline | Physik |
format | Book |
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id | DE-604.BV005432973 |
illustrated | Illustrated |
indexdate | 2024-07-09T16:29:25Z |
institution | BVB |
isbn | 0719022126 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003397480 |
oclc_num | 22983607 |
open_access_boolean | |
owner | DE-12 DE-706 DE-83 |
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physical | VI, 329 S. graph. Darst. |
publishDate | 1989 |
publishDateSearch | 1989 |
publishDateSort | 1989 |
publisher | Manchester Univ. Press |
record_format | marc |
series2 | Nonlinear science |
spelling | Gumowski, Igor Verfasser aut Oscillatory evolution processes quantitative analyses arising from applied science I. Gumowski Manchester u.a. Manchester Univ. Press 1989 VI, 329 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nonlinear science Oscillations non linéaires Nonlinear oscillations Nichtlineare Schwingung (DE-588)4042100-4 gnd rswk-swf Nichtlineare Schwingung (DE-588)4042100-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003397480&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Gumowski, Igor Oscillatory evolution processes quantitative analyses arising from applied science Oscillations non linéaires Nonlinear oscillations Nichtlineare Schwingung (DE-588)4042100-4 gnd |
subject_GND | (DE-588)4042100-4 |
title | Oscillatory evolution processes quantitative analyses arising from applied science |
title_auth | Oscillatory evolution processes quantitative analyses arising from applied science |
title_exact_search | Oscillatory evolution processes quantitative analyses arising from applied science |
title_full | Oscillatory evolution processes quantitative analyses arising from applied science I. Gumowski |
title_fullStr | Oscillatory evolution processes quantitative analyses arising from applied science I. Gumowski |
title_full_unstemmed | Oscillatory evolution processes quantitative analyses arising from applied science I. Gumowski |
title_short | Oscillatory evolution processes |
title_sort | oscillatory evolution processes quantitative analyses arising from applied science |
title_sub | quantitative analyses arising from applied science |
topic | Oscillations non linéaires Nonlinear oscillations Nichtlineare Schwingung (DE-588)4042100-4 gnd |
topic_facet | Oscillations non linéaires Nonlinear oscillations Nichtlineare Schwingung |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003397480&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT gumowskiigor oscillatoryevolutionprocessesquantitativeanalysesarisingfromappliedscience |