Abstract

In this work we study systems with refraction, more precisely, we are interested in the study of discontinuous systems having the property Xf(p)=Yf(p) for all p in Sigma. These systems are known as refracted systems. These systems turn out to be relevant for applications in relay systems.

In our approach we follow the Smale's Program to this classe of systems, i.e, we classify the generic singularities of codimensions zero and one.

This is a joint work with Claudio Buzzi (UNESP/Brasil) and Marco Teixeira (UNICAMP/Brasil).