Bifurcation without parameters / Stefan Liebscher.
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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| Main Author: | |
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| Format: | Ebook |
| Language: | English |
| Published: |
Cham :
Springer,
[2014]
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
2117. |
| Subjects: | |
| Online Access: | Springer eBooks |
| Summary: | 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. |
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| Physical Description: | 1 online resource (xii, 142 pages) : illustrations (some colour). |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 3319107763 9783319107769 331910778X 9783319107783 3319107771 9783319107776 |
| ISSN: | 0075-8434 ; |