F(ALPHA) SPECTRUM OF PRUNED BAKERS MAP

We study in detail the evolution of fractal structure within a two dim ensional hyperbolic baker's map with a complete set of unstable orbits . The evolution of fractal structure within the phase space of the map is related to changes in an associated Canter set, and this evolution is studied via their corresponding f(alpha) spectra. Numerical calcul ations of unstable periodic orbits for a related baker's map, with an incomplete set of unstable orbits, is investigated and directly relate d to, and characterized by, a pruned Canter set. The effect of the pru ning on the associated f(alpha) spectrum of the baker's map is analyze d.