Controlling bifurcations of discrete maps

Bifurcation control has attracted increasing attention in recent years. A s imple and unified state-feedback methodology is developed in this paper for various bifurcation controls for discrete-time systems. The control task c an be either shifting an existing bifurcation or creating a new one, for tr anscritical, pitchfork, saddle-node, and period-doubling bifurcations. Some computer simulations are included to illustrate the methodology and verify the theoretical results.