Proceeding of International Conference
Daisuke Ito, Tetsushi Ueta, Kazuyuki Aihara, Bifurcation analysis of a chaotic map with a controller, Proc. of 2013 RISP International Workshop on Nonlinear Circuits, Communications and Signal Processing, 57-60, Kona, Mar. 2013.
Abstract: Chaos controlling techniques are intended to stabilize un- stable periodic orbits (UPOs). They are embedded into the chaotic attractor originally. Even as the system is attached the controller, there is possible that the system generate bi- furcation phenomena by the parameter perturbation. How- ever, Analysis of bifurcation phenomena on the system with controller are less discussed. In this paper, we consider the chaos controlling by using a pole assignment method for the logistic map, and investigate bifurcation phenomena on this system with controller. Additionally, by the bifurcation struc- ture, we indicate system and controller parameters with the robustness.