  The behavior of orbits for iterated logistic maps has been widely studied
since the dawn of discrete dynamics as a research field, in particular in the
context of the complex quadratic family. However, little is is known about
orbit behavior if the map changes along with the iterations. We investigate in
which ways the traditional theory of Fatou-Julia may still apply in this case,
illustrating how the iteration pattern (symbolic template) can affect the
topology of the Julia and Mandelbrot sets.
  We briefly discuss the potential of this extension towards a variety of
applications in genetic and neural coding, since it investigates how an
occasional or a reoccurring error in a replication or learning algorithm may
affect the dynamic outcome.
