This book is concerned with the bifurcation theory, the study of the changes in the structures of the solution of ordinary differential equations as parameters

In a coherent, exhaustive and progressive way, this book presents the tools for studying local bifurcations of limit cycles in families of planar vector fields.

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 bif