| Authors | _ |
|---|---|
| Journal | Physica A: Statistical Mechanics and its Applications |
| Page number | 0-0 |
| IF | 1.785 |
| Paper Type | Full Paper |
| Published At | 2019 |
| Journal Grade | ISI |
| Journal Type | Typographic |
| Journal Country | Iran, Islamic Republic Of |
| Journal Index | JCR،Scopus |
Abstract
In the recent decade, different extensions of Shannon entropy have been introduced. One of them which generalizes many classical entropies is unified (r, s)-entropy. The properties of topological entropy and Shannon entropy are similar. In this paper, we extend the concept of unified (r, s)-entropy to the topological dynamical system by using Bowen’s definition of separated and spanning sets. We call this notion topological Unified (r, s)-entropy. Then we find the value of topological unified (r, s)-entropy when X is a noncompact metric space and get the value of the topological unified (r, s)-entropy for X∗ when X∗ is one point-compactification of X.