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

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

2007-05-14

arxiv.org/abs/0705.1900v1

Nonlinear Sciences

Chaotic Dynamics

13 pages, 7 figures

Scientific paper

Structure of bifurcation diagram in the plane of parameters controlling period-doublings for the system of coupled logistic maps is discussed. 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.

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