2013/06/05 by Hahng-Yun Chu, Ahyoung Kim, Chu, Hahng-Yun +3
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS
paper · pdf · doi:10.48550/arxiv.1306.0986
arxiv created 2013/06/05 · arxiv updated 2013/06/06
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.