chapter  3
32 Pages

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).