A SIMPLE PROOF OF THE CHAOTICITY OF SHIFT MAP UNDER A NEW DEFINITION OF CHAOS

作     者：Indranil Bhaumik Binayak S.Choudhury Basudeb Mukhopadhyay 

作者机构：Bengal Engineering and Science UniversityIndia 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2011年第27卷第4期

页      面：332-339页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：CSIR (project no. F.NO. 8/3 (45)/2005-EMR-I) for their financial support 

主　　题：symbol space shift map δ-scrambled set chaos transitive points 

摘      要：Recently, Du has given a new strong definition of chaos by using the shift map. In this paper, we give a proof of the main theorem by constructing a dense uncountable invariant subset of the symbol space E2 containing transitive points in a simpler way with the help of a different metric. We also provide two examples, which support this new definition.