Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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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.

On $\omega$-limit sets and attraction of non-autonomous discrete dynamical systems

Lei Liu and Bin Chen

Shangqiu Normal University, Sichuan University

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

MSC numbers: 54H20, 37B25, 37B55

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