PATTERNS OF BIFURCATION IN ITERATED FUNCTION SYSTEMS

It was recently described [S. Bahar, Chaotic orbits and bifurcation fr om a fixed point generated by an iterated function system. Chaos, Soli tons & Fractals, 5, 1001-1006 (1995), and S. Bahar, Further studies of bifurcations and chaotic orbits generated by iterated function system s. Chaos, Solitons & Fractals, 7, 41-47 (1996)] that bifurcation from a fixed point can occur in an iterated function system (IFS). This is unusual, since such bifurcation is usually observed in nonlinear rathe r than linear systems. Here, we investigate further the mechanisms by which such bifurcations occur.