This paper is motivated by the problems posed in control
design when actuators, sensors, and/or computational nodes
connect via unreliable or unpredictable communications channels.
In these cases, non-uniformities are introduced into the
underlying time domain of the system. Our central question
is whether chaos can emerge in a system as a result of
changing only the time domain. We answer the question in
the positive by producing an example. Additionally, we find
fractal structure in the emergence of chaos in this example.