The Ergodicity and Sensitivity of Nonautonomous Discrete Dynamical Systems

Let (E,h1,∞) be a nonautonomous discrete dynamical system (briefly, N.D.D.S.) that is defined by sequence (hj)j=1∞ of continuous maps hj:E→E over nontrivial metric space (E,d). This paper defines and discusses some forms ergodicity sensitivity for the upper density, lower positive integers. Under conditions, if rate convergence at which converges to limit map h “fast enough” with respect integers density one, it shown several properties N.D.D.S. are same as those (E,h). Some sufficient conditions have stronger also presented. The in our results less restrictive than existing works, conclusions all theorems this improve upon previous studies. Thus, these extensions ones.