A topological characterization of omega-limit sets on dynamical systems
Dynamical Systems
2013-06-06 v1
Abstract
In this article, we deal with several notions in dynamical systems. Firstly, we prove that both closure function and orbital function are idempotent on set-valued dynamical systems. And we show that the compact limit set of a connected set is also connected. Furthermore, we prove that the -limit set of a compact set is quasi-attracting.
Cite
@article{arxiv.1306.0986,
title = {A topological characterization of omega-limit sets on dynamical systems},
author = {Hahng-Yun Chu and Ahyoung Kim and Jong-Suh Park},
journal= {arXiv preprint arXiv:1306.0986},
year = {2013}
}