In this article,the authors introduce the concept of shadowable points for set-valued dynamical systems,the pointwise version of the shadowing property,and prove that a set-valued dynamical system has the shadowing property iff every point in the phase space is shadowable;every chain transitive set-valued dynamical system has either the shadowing property or no shadowable points;and for a set-valued dynamical system there exists a shadowable point iff there exists a minimal shadowable point.In the end,it is proved that a set-valued dynamical system with the shadowing property is totally transitive iff it is mixing and iff it has the specification property.
展开▼
机译：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows：Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows of Shadows的艺术
