Bifurcations of planar vector fields

by Robert H. Roussarie, J. Sotomayor, F. Dumortier et al.

1991 226 pages eng

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 cur…