Bifurcation of Equilibria in a Class of Planar Piecewise Smooth Systems with 3 Parameters

Abstract

The goal of this paper is to investigate the bifurcation properties of stationary points of a class of planar piecewise smooth systems with 3 parameters using the theory of differential inclusions. We especially study the existence of the stationary points on the line of discontinuity of this kind of planar piecewise smooth system.