Abstract: Let be the chain component of a
diffeomorphism f of a closed manifold containing a hyperbolic
periodic saddle p isolated in the
chain recurrent set. In this paper, we show that
-generically, is
‑stably shadowable if and only if is the hyperbolic homoclinic class
of p.
Keywords and phrases:
-stably shadowable, pseudo-orbit, shadowing, chainrecurrent set, chain component, homoclinic class,
hyperbolic set, Axiom A.
-stably shadowable, pseudo-orbit, shadowing, chain
