  Recently, R.Varro introduced a gonosomal algebra of the temperature-dependent
sex determination system which is controlled by three temperature ranges. In
this paper we study dynamical systems which are given by quadratic evolution
operators of the gonosomal algebras of sex-liked populations. We show that this
evolution operator can be reduced to an evolution operator of free population.
Then using behavior of the free population we describe the set of limit points
for trajectories of several evolution operators of the sex-linked populations.
