arXiv:1306.2061 Abstract | arXiv Analytics

arXiv:1306.2061 [math.DS]Abstract References Reviews Resources

On Various Types of Shadowing for Geometric Lorenz Flows

Published 2013-06-09Version 1

We show that Lorenz flows have neither limit shadowing property nor average shadowing property nor the asymptotic average shadowing property where the reparametrizations related to these concepts relies on the set of increasing homeomorphisms with bounded variation.

Comments: 18 pages, 7 figures

Categories: math.DS

Subjects: 37C50, 37D45, 37C10

Keywords: geometric lorenz flows, asymptotic average shadowing property, limit shadowing property, concepts relies, increasing homeomorphisms

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