Keng C. Yap, Guanrong Chen, Tetsushi Ueta, Controlling bifurcations of discrete maps, CONICET and UNS, The Latin American Applied Research Journal, Vol.1, No.31, 157-162, July 2001.
Abstract: Bifurcation control has attracted increasing attention in recent years. A simple and unfied state-feedback methodology is developed in this paper for various bifurcation controls for discrete-time systems. The control task can be either shifting an existing bifurcation or creating a new one, for transcritical, pitchfork, saddle-node, and period- doubling bifurcations. Some computer simulations are included to illustrate the methodology and verify the theoretical results.