The Logistic Model
Equation (3.1) has been extensively analysed in the last decades and has become
the basis for numerous papers and studies. The analysis of this relatively simple
iterative equation revealed a rich variety of inherent chaotic principles and rules. In
particular, the study of the period doubling bifurcations that appear when the chaotic
parameter b changes from one characteristic value to the next led to the formulation
of a universal law in order to explain the phenomenon, at least for all quadratic
maps (Feigenbaum, 1978, 1979, 1980a,d, 1983).