Bifurcation without Parameters
Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts are briefly introduced, a prior knowledge of c...
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2015
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oai:scholar.dlu.edu.vn:DLU123456789-577092023-11-11T05:50:44Z Bifurcation without Parameters Liebscher, Stefan Ordinary Differential Equations Manifolds Bifurcation theory Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts are briefly introduced, a prior knowledge of center-manifold reductions and normal-form calculations will help the reader to appreciate the presentation. Bifurcations without parameters occur along manifolds of equilibria, at points where normal hyperbolicity of the manifold is violated. The general theory, illustrated by many applications, aims at a geometric understanding of the local dynamics near the bifurcation points. 2015-08-21T06:51:58Z 2015-08-21T06:51:58Z 2015 Book 978-3-319-10777-6 https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57709 en application/pdf Springer |
institution |
Thư viện Trường Đại học Đà Lạt |
collection |
Thư viện số |
language |
English |
topic |
Ordinary Differential Equations Manifolds Bifurcation theory |
spellingShingle |
Ordinary Differential Equations Manifolds Bifurcation theory Liebscher, Stefan Bifurcation without Parameters |
description |
Targeted at mathematicians having at least a basic familiarity with classical bifurcation theory, this monograph provides a systematic classification and analysis of bifurcations without parameters in dynamical systems. Although the methods and concepts are briefly introduced, a prior knowledge of center-manifold reductions and normal-form calculations will help the reader to appreciate the presentation. Bifurcations without parameters occur along manifolds of equilibria, at points where normal hyperbolicity of the manifold is violated. The general theory, illustrated by many applications, aims at a geometric understanding of the local dynamics near the bifurcation points. |
format |
Book |
author |
Liebscher, Stefan |
author_facet |
Liebscher, Stefan |
author_sort |
Liebscher, Stefan |
title |
Bifurcation without Parameters |
title_short |
Bifurcation without Parameters |
title_full |
Bifurcation without Parameters |
title_fullStr |
Bifurcation without Parameters |
title_full_unstemmed |
Bifurcation without Parameters |
title_sort |
bifurcation without parameters |
publisher |
Springer |
publishDate |
2015 |
url |
https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57709 |
_version_ |
1819775858280235008 |