Abstract

This work concerns differential equation systems on $Rn$ with discontinuous right-hand sides. We deal with non-smooth vector fields in $Rn$ having a codimension-one submanifold $M$ as its discontinuity set. After a regularization of a such system and a global blow-up we are able to bring out some results that bridge the space between discontinuous systems and singularly perturbed smooth systems.

Joint with J. Llibre and M. Teixeira