ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH

Document Type : Research Paper

Authors

1 ISLAMIC AZAD UNIVERSITY

2 SHAHID BAHONAR UNIVERSITY OF KERMAN,

Abstract

Let G be a finite simple graph whose vertices and edges are weighted by two functions. In this paper we shall define and calculate entropy of a dynamical system on weights of the graph G, by using the weights of vertices and edges of G. We examine the conditions under which entropy of the dynamical system is zero, possitive or +infty. At the end it is shown that, for rin[0,+infty], there exists an order preserving transformation with entropy r.

Keywords