SYMBOLIC DYNAMICS FOR IFS ATTRACTORS

It has recently been shown that a modified iterated function system (I FS) is capable of generating closed orbits which undergo bifurcation a nd transition to a chaotic regime as control parameters are varied.(1, 2) Here we show that driving such an LFS by a partition of itself crea tes maps which can be characterized by a symbolic dynamics. Forbidden words are determined for this dynamics under various parameter values, and the implications of this mapping are discussed.