| 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_aρ_A and h(F_A),which ρ_A is the spectral radius of matrix A. |
