Qualitative behavior of numerical solutions of planar discontinuous dynamical systems

Cinzia Elia (University of Bari), Luca Dieci, Timo Eirola

We consider a planar linear discontinuous system with an asymptotically stable periodic orbit and we study the qualitative behavior of the numerical approximation obtained with forward Euler with and without event location. Differences and similarities with the theory for smooth systems will be highlighted and justified both numerically and theoretically.