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Journal of Dynamical Systems and Geometric Theories

(Since 2002)
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X
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The Journal of Dynamical Systems and Geometric Theories (JDSGT) is a world leading journal publishing high quality, rigorously peer-reviewed original research on dynamical systems and geometry, including the interactions between these two subjects and interdisciplinary research with other branches of knowledge since 2003. Topics published by the Journal include but are not limited to: Random dynamical systems Geometry and physics Dynamical systems with hyperbolic behaviour Real and complex geometry Ergodic theory Distance geometry Topological dynamics Global differential geometry Infinite-dimensional Hamiltonian systems Symplectic geometry, contact geometry The journal considers original research articles, survey articles, and book reviews for publication. Responses to articles and correspondence will also be considered at the Chief Editor’s discretion.

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Journal of Dynamical Systems and Geometric Theories
Open Access Article

A Note on Furstenburg Families and Shadowing in Topological Spaces

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pp. 51–59Vol. 17Issue 1January 2019DOI: 10.1080/1726037X.2018.1564580XML
Received:
10 Dec 2017
Accepted:
25 Mar 2018
Published Online:
02 Jan 2019
Article type:
Article
Language:
EN
Article no.:
1726037X.2018.1564580
Pages:
51–59

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.

Keywords

ShadowingErgodic shadowingFurstunburg familiesUniform space

Subject Classifications

54H20

References

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