Global dynamics of a planar Filippov system with a regular-SN

Abstract:

In this paper, we investigate the global dynamics of a planar Filippov system with a regular-SN for general parameters not required to be sufficiently small. By analyzing the qualitative properties of the pseudo-equilibria, tangent points, equilibria at infinity as well as all kinds of periodic orbits, we obtain the global bifurcation diagram with eight bifurcation curves and give all global phase portraits in Poincare disc. Some new bifurcation phenomena which do not appear in the case of small parameters are finded.