Abstract: In this work we use ideas and numerical techniques of
the nonlinear dynamics and chaos, which lead to clear interpretation of
noninvertible maps. We examine a method that permits to trace out the critical
curves LC and study their qualitative
changes when a parameter of the map T
varies. The study of the critical curves of a two-dimensional map T
can be made with the same tools as those used to study the parameter plane. This
method is based on building a new map associated with T
and such that the critical curves LC
of T are the fold bifurcation curves related to fixed point of The associated map is constructed and the equations
then permit the study of evolution of critical curves.
Keywords and phrases: basins bifurcation, critical curves, chaotic attractor.
