A Simple Proof of the Chaoticity of Shift Map Under a New Definition of Chaos
DOI:
https://doi.org/10.1007/s10496-011-0332-zKeywords:
symbol space, shift map, $\delta$-scrambled set, chaos, transitive points.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.
Published
2011-11-10
Abstract View
- 44372
Pdf View
- 4521
Issue
Section
Articles
How to Cite
A Simple Proof of the Chaoticity of Shift Map Under a New Definition of Chaos. (2011). Analysis in Theory and Applications, 27(4), 332-339. https://doi.org/10.1007/s10496-011-0332-z
