Three discontinuity-induced bifurcations to destroy self-sustained oscillations in a superconducting resonator

► In this paper, bifurcations of piecewise-smooth dynamical systems are described. ► Discontinuity-induced bifurcations are characterized. ► Filippov sliding dynamical systems are derived. ► Sudden destruction of self-sustained oscillations is shown. ► Novel oscillations in a superconducting resonator are explained.