Communications of the
Korean Mathematical Society CKMS

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