فهرست نشریات علمی دسترسی آزاد ایران

Given a dynamical system $(X,f)$ we investigate several dynamical properties for its Zadeh extension $(F(X),\hat{f})$ endowed with the endograph metric $d_E$. In particular, we prove that for topological A-transitivity, topological (ℓ,A)-recurrence, Devaney chaos, and the specification property, the endograph metric behaves similarly to the supremum metric $d_∞$, the Skorokhod metric $d_0$ and the sendograph metric $d_S$. Our results not only resolve certain open questions in the existing literature, but also yield completely new outcomes in terms of point-A-transitivity.