We consider the logistic family and apply the q-deformation
ϕq(x)=1−q1−qx. We study the stability regions of the fixed
points of the q-deformed logistic map and the regions where the dynamic is
complex through topological entropy and Lyapunov exponents. Our results show
that the dynamic of this deformed family is richer than that of the
q-deformed family studied in [8].Comment: 23 pages, 52 figur