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arXiv · 1306.0986

A topological characterization of omega-limit sets on dynamical systems

Hahng-Yun Chu·Ahyoung Kim·Jong-Suh Park
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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 $Ω$-limit set of a compact set is quasi-attracting.

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Hahng-Yun Chu, Ahyoung Kim, Jong-Suh Park. 2013-06-05. A topological characterization of omega-limit sets on dynamical systems. https://arxiv.org/abs/1306.0986

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