  Non-deterministic chaos is a form of low-dimensional dynamics which is
characterized by the existence of a countable set of {\em sensitive decision
points} (SDP's). Away from these points, the dynamics is well-behaved. Near
these points, however, perturbations (e.g., thermal noise) may cause the
outgoing trajectory to be chosen randomly. An example of a non-deterministic
chaotic system is given, and a statistical method of analyzing the resultant
dynamics is developed.
