UOSEF MOHAMMADI - DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE UNIVERSITY OF JIROFT , JIROFT, IRAN, ۷۸۶۷۱-۶۱۱۶۷.
HAMID REZA AFSHIN - DEPARTMENT OF MATHEMATICS, VALI-E-ASR UNIVERSITY OF RAFSANJAN, P. O. BOX ۵۱۸, RAFSANJAN, IRAN

 In this paper by use of mathematical modeling of an observer [14,15] the notion of relative information functional for relative dynamical systemson compact metric spaces is presented. We extract the information function ofan ergodic dynamical system (X,T) from the relative information of T fromthe view point of observer χX, where X denotes the base space of the system.We also generalize the invariance of the information function of a dynamicalsystem , under topological isomorphism, to the relative information functional.

Information function, relative dynamical system, relative generator, relative measure, relative information functional