Let (X, d) be a compact metric space and f : X → X be a continuous map. Considerrnthe metric space (K(X),H) of all non empty compact subsets of X endowed withrnthe Hausdorff metric induced by d. Let ¯ f : K(X) → K(X) be ...

در این مقاله مفهوم‌ جدید دستگاه دینامیکی ناخودگردان تابع تکرار را معرفی می‌کنیم و نشان می‌دهیم برای فضای متریک ‌فشرده‌ی ، دستگاه دینامیکی‌ ناخودگردان تابع تکرار متعدی توپولوژیکی است، هرگاه دستگاه دارای ویژگی سایه‌زنی ...

We prove that if the chain recurrent set has more than one component then f does not have asymptotic average property.

Let M be a generalized homogeneous compact space, and let

Z(M) denotes the space of homeomorphisms of M with the C0 topology.

In this paper, we show that if the interior of the set of weak stable

hom ...

In this paper we introduce the notions of strict persistence and weakly strict

persistence which are stronger than those of persistence and weak persistence, respectively,

and study their relations with ...

INVERSE SHADOWING AND WEAK INVERSE SHADOWING PROPERTY