  In this paper, we study the structural stability of three-dimensional
diffeomorphisms with source-sink dynamics. Here the role of source and sink is
played by one-dimensional hyperbolic repeller and attractor. It is well known
that in the case when the repeller and the attractor are solenoids (not
embedded in the surface), the diffeomorphism is not structurally stable. The
author proves that in the case when the attractor and the repeller are
canonically embedded in a surface, the diffeomorphism is also not structurally
stable.
