Title Weighted Information Function of Dynamical Systems Type Article Keywords Dynamical systems, generator, weighted information function, local information function, invariant Abstract In this paper we prove that the local information function of a dynamical systems affine. We also introduce the concept of weighted information function for continuous dynamical systems on compact metric spaces, and prove some of its properties. At the end we prove that the weighted information function is invariant under isomorphism. Researchers Uosef mohammadi (First researcher)