RELATIVE INFORMATION FUNCTIONAL OF RELATIVE DYNAMICAL SYSTEMS

Document Type : Research Paper

Author

DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE UNIVERSITY OF JIROFT , JIROFT, IRAN, 78671-61167.

Abstract

 In this paper by use of mathematical modeling of an observer [14,
15] the notion of relative information functional for relative dynamical systems
on compact metric spaces is presented. We extract the information function of
an ergodic dynamical system (X,T) from the relative information of T from
the 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 dynamical
system , under topological isomorphism, to the relative information functional.

Keywords