  Classical canard explosion results in smooth systems require the vector field
to be at least $C^3$, since canard cycles are created as the result of a Hopf
bifurcation. The work on canards in nonsmooth, planar systems is recent and has
thus far been restricted to piecewise-linear or piecewise-smooth Van der Pol
systems, where an extremum of the critical manifold arises from the
nonsmoothness. In both of these cases, a canard (or canard-like) explosion is
created through a nonsmooth bifurcation as the slow nullcline passes through a
corner of the critical manifold. Additionally, it is possible for these systems
to exhibit a superexplosion bifurcation where the canard explosion is skipped.
This paper extends the results to more general piecewise-smooth systems,
finding conditions for when a periodic orbit is created through either a smooth
or nonsmooth bifurcation. In the case the bifurcation is nonsmooth, conditions
determining whether the bifurcation is a super-explosion or canards are
created.
