Location of bifurcation curves of low codimension on piecewise smooth differential systems

Abstract

In the study of dynamical systems, the piecewise differential systems have an special interest since modern engineering applications require the piecewise modeling of a wide range of problems in mechanics, power electronics, control theory or biology. They seem to be more accurate models for some realistic applications than the smooth systems. Even the linear case can reproduce much of the complex behavior observed in smooth nonlinear systems, like chaos.