Bifurcation and chaos in nonsmooth mechanical systems:
This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.). Tools available for the analysi...
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1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c2003
|
Schriftenreihe: | World Scientific series on nonlinear science. Series A
v. 45 |
Schlagworte: | |
Online-Zugang: | FHN01 Volltext |
Zusammenfassung: | This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers, etc.) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments |
Beschreibung: | xvii, 543 p. ill. (some col.) |
ISBN: | 9789812564801 |
Internformat
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520 | |a This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers, etc.) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments | ||
650 | 4 | |a Bifurcation theory | |
650 | 4 | |a Chaotic behavior in systems | |
650 | 4 | |a Differential equations, Nonlinear | |
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Datensatz im Suchindex
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any_adam_object | |
author | Awrejcewicz, J. |
author_facet | Awrejcewicz, J. |
author_role | aut |
author_sort | Awrejcewicz, J. |
author_variant | j a ja |
building | Verbundindex |
bvnumber | BV044634004 |
collection | ZDB-124-WOP |
ctrlnum | (ZDB-124-WOP)00003564 (OCoLC)1012643563 (DE-599)BVBBV044634004 |
dewey-full | 515.392 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.392 |
dewey-search | 515.392 |
dewey-sort | 3515.392 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | DE-604.BV044634004 |
illustrated | Illustrated |
indexdate | 2024-07-10T07:57:43Z |
institution | BVB |
isbn | 9789812564801 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030031976 |
oclc_num | 1012643563 |
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physical | xvii, 543 p. ill. (some col.) |
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publishDate | 2003 |
publishDateSearch | 2003 |
publishDateSort | 2003 |
publisher | World Scientific Pub. Co. |
record_format | marc |
series2 | World Scientific series on nonlinear science. Series A |
spelling | Awrejcewicz, J. Verfasser aut Bifurcation and chaos in nonsmooth mechanical systems Jan Awrejcewicz, Claude-Henri Lamarque Singapore World Scientific Pub. Co. c2003 xvii, 543 p. ill. (some col.) txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science. Series A v. 45 This book presents the theoretical frame for studying lumped nonsmooth dynamical systems: the mathematical methods are recalled, and adapted numerical methods are introduced (differential inclusions, maximal monotone operators, Filippov theory, Aizerman theory, etc.). Tools available for the analysis of classical smooth nonlinear dynamics (stability analysis, the Melnikov method, bifurcation scenarios, numerical integrators, solvers, etc.) are extended to the nonsmooth frame. Many models and applications arising from mechanical engineering, electrical circuits, material behavior and civil engineering are investigated to illustrate theoretical and computational developments Bifurcation theory Chaotic behavior in systems Differential equations, Nonlinear Mechanisches System (DE-588)4132811-5 gnd rswk-swf Chaostheorie (DE-588)4009754-7 gnd rswk-swf Mechanisches System (DE-588)4132811-5 s Chaostheorie (DE-588)4009754-7 s 1\p DE-604 Lamarque, Claude-Henri Sonstige oth Erscheint auch als Druck-Ausgabe 9789812384591 Erscheint auch als Druck-Ausgabe 9812384596 http://www.worldscientific.com/worldscibooks/10.1142/5342#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Awrejcewicz, J. Bifurcation and chaos in nonsmooth mechanical systems Bifurcation theory Chaotic behavior in systems Differential equations, Nonlinear Mechanisches System (DE-588)4132811-5 gnd Chaostheorie (DE-588)4009754-7 gnd |
subject_GND | (DE-588)4132811-5 (DE-588)4009754-7 |
title | Bifurcation and chaos in nonsmooth mechanical systems |
title_auth | Bifurcation and chaos in nonsmooth mechanical systems |
title_exact_search | Bifurcation and chaos in nonsmooth mechanical systems |
title_full | Bifurcation and chaos in nonsmooth mechanical systems Jan Awrejcewicz, Claude-Henri Lamarque |
title_fullStr | Bifurcation and chaos in nonsmooth mechanical systems Jan Awrejcewicz, Claude-Henri Lamarque |
title_full_unstemmed | Bifurcation and chaos in nonsmooth mechanical systems Jan Awrejcewicz, Claude-Henri Lamarque |
title_short | Bifurcation and chaos in nonsmooth mechanical systems |
title_sort | bifurcation and chaos in nonsmooth mechanical systems |
topic | Bifurcation theory Chaotic behavior in systems Differential equations, Nonlinear Mechanisches System (DE-588)4132811-5 gnd Chaostheorie (DE-588)4009754-7 gnd |
topic_facet | Bifurcation theory Chaotic behavior in systems Differential equations, Nonlinear Mechanisches System Chaostheorie |
url | http://www.worldscientific.com/worldscibooks/10.1142/5342#t=toc |
work_keys_str_mv | AT awrejcewiczj bifurcationandchaosinnonsmoothmechanicalsystems AT lamarqueclaudehenri bifurcationandchaosinnonsmoothmechanicalsystems |