Far East Journal of Dynamical Systems
Volume 2, Issue 1, Pages 1 - 11
(December 2000)
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MINIMAL CENTER OF ATTRACTION FOR A CONTINUOUS MAP
Sung Kyu Choi (Korea), Chin-Ku Chu (Korea) and Jong Suh Park (Korea)
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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.