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Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals
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Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals

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Publisher3540545212
ISBN 109783540545217
LanguageEnglish
Publication Date9 October 1991
ISBN 139783540545217
AuthorFreddy Dumortier
Book DescriptionThe 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.
Number of Pages240 pages
Cart Total  220.00
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Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals
Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals
220.00
220
0

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