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Quantitative shadowable points.
- Source :
-
Dynamical Systems: An International Journal . 2017, Vol. 32 Issue 4, p504-518. 15p. - Publication Year :
- 2017
-
Abstract
- The notion of shadowable points was introduced by Morales in his recent paper (2016,Dynamical Systems). A shadowable point of a continuous map or a homeomorphism is defined to be a point such that the shadowing lemma holds for pseudo orbits passing through the point. In this paper, as a quantitative version of the shadowable points, we study shadowable points with a given shadowing accuracy, and prove a quantitative version of Morales’ theorem in his paper above. In addition, we answer two questions on shadowable points asked in the paper. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 14689367
- Volume :
- 32
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Dynamical Systems: An International Journal
- Publication Type :
- Academic Journal
- Accession number :
- 125697582
- Full Text :
- https://doi.org/10.1080/14689367.2017.1280664