A complete bifurcation analysis of planar conewise affine systems*

In this paper we present a procedure to find all limit sets near bifurcating equilibria in continuous, piecewise affine systems defined on a conic partition of the plane. To guarantee completeness of the obtained limit sets, new conditions for the existence or absence of closed orbits are combined with the study of return maps. With these results a complete bifurcation analysis of a class of planar conewise affine systems is presented.