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http://dx.doi.org/10.4134/JKMS.2012.49.4.703

ON ω-LIMIT SETS AND ATTRACTION OF NON-AUTONOMOUS DISCRETE DYNAMICAL SYSTEMS  

Liu, Lei (School of Mathematics Sichuan University, Department of Mathematics Shangqiu Normal University)
Chen, Bin (School of Mathematics Sichuan University)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.4, 2012 , pp. 703-713 More about this Journal
Abstract
In this paper we study ${\omega}$-limit sets and attraction of non-autonomous discrete dynamical systems. We introduce some basic concepts such as ${\omega}$-limit set and attraction for non-autonomous discrete system. We study fundamental properties of ${\omega}$-limit sets and discuss the relationship between ${\omega}$-limit sets and attraction for non-autonomous discrete dynamical systems.
Keywords
${\omega}$-limit set; non-autonomous discrete dynamical system; attraction; regular space;
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