  A simple discrete planar dynamical model for the ideal (logical) R-S
flip-flop circuit is developed with an eye toward mimicking the dynamical
behavior observed for actual physical realizations of this circuit. It is shown
that the model exhibits most of the qualitative features ascribed to the R-S
flip-flop circuit, such as an intrinsic instability associated with unit set
and reset inputs, manifested in a chaotic sequence of output states that tend
to oscillate among all possible output states, and the existence of periodic
orbits of arbitrarily high period that depend on the various intrinsic system
parameters. The investigation involves a combination of analytical methods from
the modern theory of discrete dynamical systems, and numerical simulations that
illustrate the dazzling array of dynamics that can be generated by the model.
Validation of the discrete model is accomplished by comparison with certain
Poincar\'e map like representations of the dynamics corresponding to
three-dimensional differential equation models of electrical circuits that
produce R-S flip-flop behavior.
