Bifurcation theory and applications:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Singapore
World Scientific
c2005
|
Schriftenreihe: | World Scientific series on nonlinear science
v. 53 |
Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | Includes bibliographical references and index Introduction to steady state bifurcation theory -- Introduction to dynamic bifurcation -- Reduction procedures and stability -- Steady state bifurcations -- Dynamic bifurcation theory: Finite dimensional case -- Dynamic bifurcation theory: Infinite dimensional case -- Bifurcations for nonlinear elliptic equations -- Reaction-diffusion equations -- Pattern formation and wave equations -- Fluid dynamics This book covers comprehensive bifurcation theory and its applications to dynamical systems and partial differential equations (PDEs) from science and engineering, including in particular PDEs from physics, chemistry, biology, and hydrodynamics. The book first introduces bifurcation theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate nonlinearities, regardless of the multiplicity of the eigenvalues, and on attractor bifurcations for nonlinear evolution equations, a new notion of bifurcation. With this new notio |
Beschreibung: | 1 Online-Ressource (xiii, 375 p.) |
ISBN: | 9789812562876 9789812701152 9812562877 981270115X |
Internformat
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490 | 0 | |a World Scientific series on nonlinear science |v v. 53 | |
500 | |a Includes bibliographical references and index | ||
500 | |a Introduction to steady state bifurcation theory -- Introduction to dynamic bifurcation -- Reduction procedures and stability -- Steady state bifurcations -- Dynamic bifurcation theory: Finite dimensional case -- Dynamic bifurcation theory: Infinite dimensional case -- Bifurcations for nonlinear elliptic equations -- Reaction-diffusion equations -- Pattern formation and wave equations -- Fluid dynamics | ||
500 | |a This book covers comprehensive bifurcation theory and its applications to dynamical systems and partial differential equations (PDEs) from science and engineering, including in particular PDEs from physics, chemistry, biology, and hydrodynamics. The book first introduces bifurcation theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate nonlinearities, regardless of the multiplicity of the eigenvalues, and on attractor bifurcations for nonlinear evolution equations, a new notion of bifurcation. With this new notio | ||
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Datensatz im Suchindex
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any_adam_object | |
author | Ma, Tian |
author_facet | Ma, Tian |
author_role | aut |
author_sort | Ma, Tian |
author_variant | t m tm |
building | Verbundindex |
bvnumber | BV043128123 |
classification_rvk | SK 540 |
collection | ZDB-4-EBA |
ctrlnum | (OCoLC)232159976 (DE-599)BVBBV043128123 |
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 3392 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | DE-604.BV043128123 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:18:18Z |
institution | BVB |
isbn | 9789812562876 9789812701152 9812562877 981270115X |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028552314 |
oclc_num | 232159976 |
open_access_boolean | |
owner | DE-1046 DE-1047 |
owner_facet | DE-1046 DE-1047 |
physical | 1 Online-Ressource (xiii, 375 p.) |
psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
publishDate | 2005 |
publishDateSearch | 2005 |
publishDateSort | 2005 |
publisher | World Scientific |
record_format | marc |
series2 | World Scientific series on nonlinear science |
spelling | Ma, Tian Verfasser aut Bifurcation theory and applications Tian Ma, Shouhong Wang Singapore World Scientific c2005 1 Online-Ressource (xiii, 375 p.) txt rdacontent c rdamedia cr rdacarrier World Scientific series on nonlinear science v. 53 Includes bibliographical references and index Introduction to steady state bifurcation theory -- Introduction to dynamic bifurcation -- Reduction procedures and stability -- Steady state bifurcations -- Dynamic bifurcation theory: Finite dimensional case -- Dynamic bifurcation theory: Infinite dimensional case -- Bifurcations for nonlinear elliptic equations -- Reaction-diffusion equations -- Pattern formation and wave equations -- Fluid dynamics This book covers comprehensive bifurcation theory and its applications to dynamical systems and partial differential equations (PDEs) from science and engineering, including in particular PDEs from physics, chemistry, biology, and hydrodynamics. The book first introduces bifurcation theories recently developed by the authors, on steady state bifurcation for a class of nonlinear problems with even order nondegenerate nonlinearities, regardless of the multiplicity of the eigenvalues, and on attractor bifurcations for nonlinear evolution equations, a new notion of bifurcation. With this new notio MATHEMATICS / Differential Equations / General bisacsh Bifurcation theory fast Differential equations, Nonlinear / Numerical solutions fast Bifurcation theory Differential equations, Nonlinear Numerical solutions Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 s 1\p DE-604 Wang, Shouhong Sonstige oth Erscheint auch als Druck-Ausgabe, Paperback 978-981-256-352-1 Erscheint auch als Druck-Ausgabe, Paperback 981-256-352-0 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=167305 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Ma, Tian Bifurcation theory and applications MATHEMATICS / Differential Equations / General bisacsh Bifurcation theory fast Differential equations, Nonlinear / Numerical solutions fast Bifurcation theory Differential equations, Nonlinear Numerical solutions Verzweigung Mathematik (DE-588)4078889-1 gnd |
subject_GND | (DE-588)4078889-1 |
title | Bifurcation theory and applications |
title_auth | Bifurcation theory and applications |
title_exact_search | Bifurcation theory and applications |
title_full | Bifurcation theory and applications Tian Ma, Shouhong Wang |
title_fullStr | Bifurcation theory and applications Tian Ma, Shouhong Wang |
title_full_unstemmed | Bifurcation theory and applications Tian Ma, Shouhong Wang |
title_short | Bifurcation theory and applications |
title_sort | bifurcation theory and applications |
topic | MATHEMATICS / Differential Equations / General bisacsh Bifurcation theory fast Differential equations, Nonlinear / Numerical solutions fast Bifurcation theory Differential equations, Nonlinear Numerical solutions Verzweigung Mathematik (DE-588)4078889-1 gnd |
topic_facet | MATHEMATICS / Differential Equations / General Bifurcation theory Differential equations, Nonlinear / Numerical solutions Differential equations, Nonlinear Numerical solutions Verzweigung Mathematik |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=167305 |
work_keys_str_mv | AT matian bifurcationtheoryandapplications AT wangshouhong bifurcationtheoryandapplications |