  This paper presents an analysis on the effects of floating-point arithmetic
on the constructing bifurcation diagram of the quadratic map. More precisely,
we are interested in showing the dependence of initial conditions to obtain
some specific features of the diagram. With this study, it was possible to
observe that when there is a restriction regarding the initial condition, the
results present aspects with significant differences of the ones found in the
literature regarding the behaviour of the map, consequently there is a
considerable modification in its bifurcation diagram. We show that these
difference are related to floating-point arithmetic
