Journal of Mahani Mathematical Research

Journal of Mahani Mathematical Research

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

Volume 2, Issue 2 - Serial Number 2
November 2013
Pages 17-28

  • Receive Date 03 December 2013
  • Revise Date 03 November 2014
  • Accept Date 20 December 2014