The Asymptotic Average Shadowing Property Of Iterated Function Systems

In this paper,we mainly study the concept of asymptotic average shadowing of iterated function system.Firstly,We prove that an iterated function system IFS(F)such that one ofFis surjective,if IFS(F)has the pseudo-orbital speci-fication property,then IFS(F)has the asymptotic average shadowing property.Secondly,we prove that if an iterated function system IFS(F)has the asymptot-ic average shadowing property,then IFS(F)has the average shadowing property.Thirdly,we give a criteria for an iterated function system that does not have the asymptotic average shadowing property and two related examples.Finally,we study the iterated function system IFS(F_A)determined by the matrix A and proved that topological entropy h(F_A)of the skew product transformation F_A is equal to the sum of log_a?_A and h(F_A),which ?_A is the spectral radius of matrix A.