Two-parameter sliding bifurcations of limit cycles in Filippov Systems

This paper is concerned with the extension of the theory of sliding bifurcations in Filippov systems to the case of codimension-two degenerate sliding bifurcations. The analysis is carried out for generic n-dimensional piecewise smooth systems. The possible degenerate scenarios are classified and unfolded. It is shown that several branches of codimension-one sliding bifurcations originate from each of the degenerate codimension-two point. Such branches are appropriately classified. A friction oscillator is used as a representative example to illustrate and confirm the theoretical derivations.