Next Article in Journal
Entropy Production and Irreversible Processes -from the perspective of continuous topological evolution.
Previous Article in Journal
Optimum Criteria on the Performance of an Irreversible Braysson Heat Engine Based on the new Thermoeconomic Approach
 
 
Retraction published on 21 February 2014, see Entropy 2014, 16(2), 1122.
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

Statistical Convergent Topological Sequence Entropy Maps of the Circle

Cumhuriyet University, Sivas, Turkey
Entropy 2004, 6(2), 257-261; https://doi.org/10.3390/e6020257
Received: 26 August 2003 / Accepted: 17 December 2003 / Published: 19 March 2004

Abstract

A continuous map f of the interval is chaotic iff there is an increasing of nonnegative integers T such that the topological sequence entropy of f relative to T, hT(f), is positive [4]. On the other hand, for any increasing sequence of nonnegative integers T there is a chaotic map f of the interval such that hT(f)=0 [7]. We prove that the same results hold for maps of the circle. We also prove some preliminary results concerning statistical convergent topological sequence entropy for maps of general compact metric spaces.
Keywords: Statistical convergent; topological sequence; entropy; sequence entropy Statistical convergent; topological sequence; entropy; sequence entropy

Share and Cite

MDPI and ACS Style

Aydin, B. Statistical Convergent Topological Sequence Entropy Maps of the Circle. Entropy 2004, 6, 257-261. https://doi.org/10.3390/e6020257

AMA Style

Aydin B. Statistical Convergent Topological Sequence Entropy Maps of the Circle. Entropy. 2004; 6(2):257-261. https://doi.org/10.3390/e6020257

Chicago/Turabian Style

Aydin, Bünyamin. 2004. "Statistical Convergent Topological Sequence Entropy Maps of the Circle" Entropy 6, no. 2: 257-261. https://doi.org/10.3390/e6020257

Article Metrics

Back to TopTop