(1) Institute of Radio-Engineering and Electronics, RAS, ul. Zelenaya 38, Saratov, 410019, Russia;(2) Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia
Abstract:
We discuss the structure of bifurcation diagram in the plane of parameters controlling period-doublings for the system of
coupled logistic maps. The analysis is carried out by computing the charts of dynamical regimes and charts of Lyapunov exponents
giving showy and effective illustrations. The critical point of codimension two at the border of chaos is found. It is a terminal
point for the Feigenbaum critical line. The bifurcation analysis in the vicinity of this point is presented.