  There exists a variety of physically interesting situations described by
continuous maps that are nondifferentiable on some surface in phase space. Such
systems exhibit novel types of bifurcations in which multiple coexisting
attractors can be created simultaneously. The striking feature of these
bifurcations is that they lead to fundamentally unpredictable behavior of
orbits as a system parameter is varied slowly through its bifurcation value.
This unpredictability gradually disappears as the speed of variation of the
system parameter through the bifurcation is reduced to zero.
