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ENTROPY OF DYNAMICAL SYSTEMS ON WEIGHTS OF A GRAPH | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 5، دوره 2، شماره 1، آبان 2013، صفحه 53-63 اصل مقاله (281.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2014.668 | ||
| نویسندگان | ||
| A. EBRAHIMZADEH* 1؛ M. EBRAHIMI2 | ||
| 1ISLAMIC AZAD UNIVERSITY | ||
| 2SHAHID BAHONAR UNIVERSITY OF KERMAN, | ||
| چکیده | ||
| 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 $r$. | ||
| کلیدواژهها | ||
| Dynamical system؛ Entropy؛ Order preserving transformation؛ Weight | ||
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