On Various Types of Shadowing for Geometric Lorenz Flows
Dynamical Systems
2013-06-11 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1306.2061,
title = {On Various Types of Shadowing for Geometric Lorenz Flows},
author = {A. Arbieto and J. E. Reis and R. Ribeiro},
journal= {arXiv preprint arXiv:1306.2061},
year = {2013}
}
Comments
18 pages, 7 figures