文章基本信息

标题：Topological Entropy and Special <svg style="vertical-align:-0.216pt;width:15.0125px;" id="M1" height="10.725" version="1.1" viewBox="0 0 15.0125 10.725" width="15.0125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.725)"> <g transform="translate(72,-63.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.68)"> <tspan style="font-size: 17.93px; " x="0" y="0">𝜶</tspan> </text> </g> </g> </svg>-Limit Points of Graph Maps
本地全文：下载
作者：Taixiang Sun ; Guangwang Su ; Hailan Liang 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2011
卷号：2011
DOI：10.1155/2011/132985
出版社：Hindawi Publishing Corporation
摘要：Let 𝐺 a graph and 𝑓∶𝐺→𝐺 be a continuous map. Denote by ℎ(𝑓), 𝑅(𝑓), and SA(𝑓) the topological entropy, the set of recurrent points, and the set of special 𝛼-limit points of 𝑓, respectively. In this paper, we show that ℎ(𝑓)>0 if and only if SA(𝑓)−𝑅(𝑓)≠∅.