Year: 2011
Author: Indranil Bhaumik, Binayak S. Choudhury, Basudeb Mukhopadhyay
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 332–339
Abstract
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 $\sum_2$ containing transitive points in a simpler way with the help of a different metric. We also provide two examples, which support this new definition.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.1007/s10496-011-0332-z
Analysis in Theory and Applications, Vol. 27 (2011), Iss. 4 : pp. 332–339
Published online: 2011-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: symbol space shift map $\delta$-scrambled set chaos transitive points.