On some extensions of dynamical homeomorphism and dynamical isomorphism in dynamical system

Abstract

In this paper, the definitions and the theorems concerning with the invariant sets, w- and $\alpha$- limit sets are given and proved in the new Dynamical Systems. By using of the definition of $P^+$ and $P^-$ stability , some remarkable unknown results are obtained. Finally, the definition of Dynamical Isomorphism and Dynamical Homeomorphism are given and related original theorems are presented and proved.