- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Continuity of the orbital and limit set maps in general dynamical systems Commun. Korean Math. Soc. 2011 Vol. 26, No. 4, 649-660 https://doi.org/10.4134/CKMS.2011.26.4.649Published online December 1, 2011 Kyung Bok Lee and Jong Suh Park Hoseo University, Chungnam National University Abstract : S. M. Saperstone and M. Nishihama [6] had showed both continuity and stability of the orbital and limit set maps, $K(x)$ and $L(x)$, where $K$ and $L$ are considered as maps from $X$ to $2^X$. The main purpose of this paper is to extend continuity and stability for dynamical systems to general dynamical systems. Keywords : general dynamical systems, lower and upper semicontinuous, continuity and stability, motion and limit set, minimality and charactorstic $O^+$ MSC numbers : 37B40 Downloads: Full-text PDF