MINIMAL CENTER OF ATTRACTION FOR A CONTINUOUS MAP

Sung Kyu Choi (Korea), Chin-Ku Chu (Korea) and Jong Suh Park (Korea)

Abstract

We introduce a set Wx for a point x in the phase space X, which is contained in a center of attraction for x and obtain one sufficient condition under which Wx is a minimal center of attraction for x. Also, we show that Wx is contained in the closure of the set P consisting of all recurrent points.

Keywords and phrases: center of attraction, minimal center of attraction, recurrent points, nonwandering points.