  Chaotic strings are particular classes of coupled map lattices that can serve
as models for vacuum fluctuations in stochastically quantized field theories.
They have been previously shown to distinguish standard model coupling
parameters as corresponding to states of strongest possible chaotic behaviour
and vanishing nearest-neighbour correlation. In this paper we look at discrete
symmetry transformations for chaotic strings. We show that several of the
chaotic string dynamics can be transformed into each other by simple discrete
coordinate transformations. We investigate how expectation values converge in
the various coupling parameter regions and single out those stable zeros of the
correlation function that correspond to ergodic states with well-defined
convergence properties.
