Identifiant pérenne de la notice : 208010718
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Note publique d'information : 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.