A Note on Furstenburg Families and Shadowing in Topological Spaces. Issue 1 (2nd January 2019)

• Record Type: Journal Article
• Authors: Ahmadi, Seyyed Alireza
• Is Part Of: Journal of dynamical systems and geometric theories. Volume 17:Issue 1(2019)
• Page Start: 51
• Page End: 59
• Publication Date: 2019-01-02
• Subjects: 54H20; Shadowing -- Ergodic shadowing -- Furstunburg families -- Uniform space; Differentiable dynamical systems -- Periodicals; Geometry -- Periodicals; Differentiable dynamical systems; Geometry; Periodicals; 515.39
• DOI: 10.1080/1726037X.2018.1564580
• Languages: English
• ISSNs: 1726-037X

Abstract

ABSTRACT: In this note we use the concepts of lower density and upper density for elements of Furstenburg families to measure the set of error times in the shadowing process in non-metrizable topological spaces. We show that the measure of errors is the same for all iterations of a dynamical system.