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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Tác giả chính: Liebscher, Stefan
Định dạng: Sách
Ngôn ngữ:English
Được phát hành: Springer 2015
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Truy cập trực tuyến:https://scholar.dlu.edu.vn/thuvienso/handle/DLU123456789/57709
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spelling 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