Controlled shadowing property

Alireza Zamani Bahabadi

doi:10.4995/agt.2018.7731

Controlled shadowing property

Alireza Zamani Bahabadi

DOI: https://doi.org/10.4995/agt.2018.7731

Abstract

In this paper we introduce a new notion, named controlled shadowing property and we relate it to some notions in dynamical systems such as topological ergodicity, topologically mixing and specication properties. The relation between the controlled shadowing and chaos in sense of Li-Yorke is studied. At the end we give some examples to investigate the controlled shadowing property.

Keywords

controlled shadowing property; chaos; topologically ergodic; specification property; topologically mixing

Subject classification

2010 Mathematics Subject Classification

37B20; 37C50; 54H20.

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References

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