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Structure of bifurcation diagram in the plane of parameters controllingperiod-doublings for the system of coupled logistic maps is discussed. Theanalysis is carried out by computing the charts of dynamical regimes and chartsof Lyapunov exponents giving showy and effective illustrations. The criticalpoint of codimension two at the border of chaos is found. It is a terminalpoint for the Feigenbaum critical line. The bifurcation analysis in thevicinity of this point is presented.

Dynamics of coupled non-identical systems with period-doubling cascade