Diffeomorphisms with the s-limit shadowing property

摘要

Let Diff(M) be the space of diffeomorphisms of a closed C~∞ manifold M endowed with the C~1-topology, and denote by R(f) the chain recurrent set of f ∈Diff(M). In this article, we show that C~1-generically f_(IR(r)) the s-limit shadowing property if and only if f satisfies both Axiom A and no-cycle condition.