ACTA MATHEMATICA UNIVERSITATIS COMENIANAE
Vol. 63,   2   (1994)
ON THE STRUCTURE OF MINIMAL ATTRACTION CENTERS OF RECURRENT TRAJECTORIES OF CONTINUOUS MAPS OF THE INTERVAL
A. G. SIVAK
We study the structure of minimal attraction centers of recurrent trajectories of continuous maps of the interval, i.e. trajectories of points, which belong to their $\omega$-limit sets. We establish sufficient conditions, under which a pair of closed sets is realizable as the pair of the $\omega$-limit set and the minimal attraction center of a recurrent trajectory of a continuous map. The case when these conditions are necessary and are not sufficient is also discussed and corresponding examples are suggested.
AMS subject classification.
Download:     Adobe PDF     Compressed Postscript
Acta Mathematica Universitatis Comenianae
Institute of Applied
Faculty of Mathematics,
Physics and Informatics
842 48 Bratislava, Slovak Republic
Telephone: + 421-2-60295111 Fax: + 421-2-65425882
© Copyright 2001, ACTA MATHEMATICA