J. Korean Math. Soc. 2012; 49(4): 703-713
Printed July 1, 2012
https://doi.org/10.4134/JKMS.2012.49.4.703
Copyright © The Korean Mathematical Society.
Lei Liu and Bin Chen
Shangqiu Normal University, Sichuan University
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
MSC numbers: 54H20, 37B25, 37B55
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