Bifurcations of Planar Vector Fields

Bifurcations of Planar Vector Fields von Dumortier Freddy (Autor) und Roussarie Robert (Autor) und Sotomayor Jorge (Autor) und Zoladek Henryk (Autor)

Autor: Dumortier, Freddy

Autor: Roussarie, Robert

Autor: Sotomayor, Jorge

Autor: Zoladek, Henryk

Verleger: Springer-Verlag GmbH

Genre: Hardcover/Mathematik/Analysis

ISBN: 3540545212

EAN/ISBN-13: 9783540545217

Sprache: eng

Veröffentlichung: Mai 2008


 
 
Klappentext zu Bifurcations of Planar Vector Fields
The book reports on recent work by the authors on the bifurcation structure of singular points of planar vector fields whose linear parts are nilpotent. The bifurcation diagrams of the most important codimension-three cases are studied in detail. The results presented reach the limits of what is currently known on the bifurcation theory of planar vector fields. While the treatment is geometric, special analytical tools using abelian integrals are needed, and are explicitly developed. The rescaling and normalization methods are improved for application here. The reader is assumed to be familiar with the elements of Bifurcation and Dynamical Systems Theory. The book is addressed to researchers and graduate students working in Ordinary Differential Equations and Dynamical Systems, as well as anyone modelling complex multiparametric phenomena.

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