Invariants of Uniform Conjugacy on Uniform Dynamical System.

n this paper, We present some important dynamical concepts of uniform space such as the uniform minimal systems and uniform shadowing. We explain some definitions and theorems such as uniform expansive, weak uniform expansive, uniform generator. we study the relations among types of compact uniform space and uniform shadowing as well as uniform conjugacy. Moreover we show that if T: X⟶ Χ and S: Y → Y are two uniform homeomorphisms on compact uniform spaces X and Y, if φ: X ➞ Y is a uniform conjugacy from T to S, then CR_U(S) = φ(CR_U(T)). [ABSTRACT FROM AUTHOR]