On impulsive semidynamical systems: minimal, recurrent and almost periodic motions

Abstract

This paper concerns results about minimal, recurrent and almost periodic motions in impulsive semidynamical systems. In the first part, we investigate general properties of minimal sets. In the sequel, we study some relations among minimal, recurrent and almost periodic motions. Some important results from the classical dynamical systems theory are generalized to the impulsive case, as Birkhoff's theorem for instance.