The Kinetic Properties Of The Set Value System And The Product Of Power System Entropy Point

In this paper, we study dynamical properties of set-valued dynamical system and some entropy point properties of the product of dynamical system of order n in ergodic theory.In chapter one, we mainly introduced the origins ,developments and main objective and contents of ergodic theory and topological dynamics.In chapter two, we are aim to show that some dynamics properties between dynamical system ( X ,T) and its set-valued dynamical system (κ( X),T)that induced, such as F-transitive, F-mixing, n sensitive dependence on initial conditions.In chapter three, we introduced definition and properties of Bowen topological entropy, and concepts of entropy point. we discuss Bowen's entropy of the n-product of dynamical system of order n. Therefore, some properties of the n-product of dynamical system of order n are obtained, and its structure.