Bifurcation without parameters [Documento electrónico] / Stefan Liebscher
Language: eng.Country: US - United States of America.Publication: Cham : Springer international publishing, 2015Description: XII, 142 p. 34 il.ISBN: 978-3-319-10777-6.Series: Lecture notes in mathematicsSubject - Topical Name: 1072 | 3647 | 9053Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT | Não Ficção | QA372 FCT 96778 (Browse shelf(Opens below)) | 1 | Available |
Colocação: Online
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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