Asymptotically stable sets and attractors of inverse limit dynamical systems
Abstract
In this paper we study asymptotically stable sets and attractors of inverse limit dynamical system which is induced from dynamical system on a compact metric space. We give the implication of asymptotically stable sets and attractors between inverse limit dynamical systems and original systems. More precisely, the inverse limit system has asymptotically stable sets implies original system has asymptotically stable sets. Also, we prove that the inverse limit system has attractors implies original system has attractors.
Copyright © 2013 Lei Liu. 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
L. Liu, Asymptotically stable sets and attractors of inverse limit dynamical systems, Adv. Fixed Point Theory 3 (2013), 443–450.
BibTeX
@article{Liu2013,
author = {Liu, Lei},
title = {Asymptotically stable sets and attractors of inverse limit dynamical systems},
journal = {Adv. Fixed Point Theory},
volume = {3},
year = {2013},
pages = {443--450},
doi = {}
}