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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals

Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals

Sotomayor, Jorge
Roussarie, Robert
Dumortier, Freddy

Paperback

Series: Lecture Notes in Mathematics, Book 1480

General Mathematics

ISBN10: 3540545212
ISBN13: 9783540545217
Publisher: Springer
Published: Oct 9 1991
Pages: 232
Weight: 0.75
Height: 0.51 Width: 6.14 Depth: 9.21
Language: English
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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