Further studies of bifurcations and chaotic orbits generated by iterated function systems

In a recent paper [S. Bahar, Chaotic orbits and bifurcation from a fixed point generated by an iterated function system, Chaos, Solitons & Fractals, 5, 1001–1006 (1995)], we described bifurcation from a fixed point generated by an iterated function system (IFS), as well as the generation of ‘chaotic’ orbits by an IFS. In what follows, we will discuss unusual and quite interesting patterns of bifurcation from a fixed point in an IFS system, as well as the routes to chaos taken by IFS-generated orbits.