ABSTRACT
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).
