Impulsive surfaces on dynamical systems

This work is devoted to the construction of impulsive sets in \({\mathbb{R}^n}\). In the literature, there are many examples of impulsive dynamical systems whose impulsive sets are chosen in an abstract way, and in this paper we present sufficient conditions to characterize impulsive sets in \({\mathbb{R}^n}\) which satisfy some “tube conditions” and ensure a good behavior of the flow. Moreover, we present some examples to illustrate the theoretical results.