Two types of tracing properties in non-autonomous dynamical system
Abstract
In this paper, we introduce the notions of asymptotic pseudo-orbit tracing property and pointwise pseudo-orbit tracing property in non-autonomous dynamical system, which are the generalizations of corresponding notions in autonomous dynamical system. We showed that if is topologically conjugate to, then has asymptotic pseudo-orbit tracing property if and only if has the same property. Also we discuss the relationship of pointwise pseudo-orbit tracing property between the product system and its subsystems.
- Published
- 5 February 2014
- Volume
- 2014 (2014)
- License
- CC BY 3.0
Copyright © 2014 Xiaoqian Song, Ying Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
X. Song, Y. Zhang, Two types of tracing properties in non-autonomous dynamical system, Eng. Math. Lett. 2014 (2014), 4.
BibTeX
@article{Song2014,
author = {Song, Xiaoqian and Zhang, Ying},
title = {Two types of tracing properties in non-autonomous dynamical system},
journal = {Eng. Math. Lett.},
volume = {2014},
year = {2014},
pages = {4},
doi = {}
}