  We present a sufficient condition for three-dimensional diffeomorphisms
having heterodimensional cycles to be approximated arbitrarily well by
diffeomorphisms with non-trivial contracting wandering domains via several
perturbations. The key idea is to show that diffeomorphisms with
heterodimensional cycles associated with saddle points with non-real
eigenvalues can be approximated by diffeomorphisms with generalized homoclinic
tangencies presented by Tatjer. The generalized homoclinic tangency is an
organizing center including a Bogdanov-Takens bifurcation, by which one can
obtain non-trivial contracting wandering domains together with a Denjoy-like
construction.
