Estabilidad estructural de campos suaves por partes en super?cies

Abstract

In this paper we present the theorem of characterization of the structural stability of piecewise smooth vector fields defined on a compact surface. It is essentially a result of the local theory, and is based on work of Brouke, Pugh & Simic [3]. They established and showed that the necessary and sufficient conditions are given by hyperbolicity of singular points, genericity of tangencies, no connection of singular saddles,and the apperance of only trivially recurrent orbits. We show the same but from a diferent perspective.