On Periodic Shadowing Property
Journal: Sahand Communications in Mathematical Analysis (Vol.14, No. 1)Publication Date: 2019-04-01
Authors : Ali Darabi;
Page : 63-72
Keywords : Periodic shadowing; Shadowing; Chain transitive; Distal;
Abstract
In this paper, some properties of the periodic shadowing are presented. It is shown that a homeomorphism has the periodic shadowing property if and only if so does every lift of it to the universal covering space. Also, it is proved that continuous mappings on a compact metric space with the periodic shadowing and the average shadowing property also have the shadowing property and then are chaotic in the sense of Li-Yorke. Moreover, any distal homeomorphisms on a compact metric space with the periodic shadowing property do not have the asymptotic average shadowing property.
Other Latest Articles
- Admissible Vectors of a Covariant Representation of a Dynamical System
- Functors Induced by Cauchy Extension of C$^ast$-algebras
- Common Fixed Point in Cone Metric Space for $mathbf{s}-mathbf{varphi}$-contractive
- Certain Inequalities for a General Class of Analytic and Bi-univalent Functions
- Surjective Real-Linear Uniform Isometries Between Complex Function Algebras
Last modified: 2019-04-28 14:13:45