Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals: 1480 (Lecture Notes in Mathematics, 1480) - Softcover

Dumortier, Freddy; Roussarie, Robert; Sotomayor, Jorge; Zoladek, Henryk

 
9783540545217: Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals: 1480 (Lecture Notes in Mathematics, 1480)

Synopsis

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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9780387545219: Bifurcations of Planar Vector Fields: Nilpotent Singularities and Abelian Integrals (Lecture Notes in Mathematics)

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ISBN 10:  0387545212 ISBN 13:  9780387545219
Softcover