A TOPOLOGICAL CHARACTERIZATION OF Ω-LIMIT SETS ON DYNAMICAL SYSTEMS

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Published: Aug 15, 2014
DOI: https://doi.org/10.14403/jcms.2014.27.3.523
Keywords:
pseudo-orbit, Ω-limit sets, attracting, quasi-attracting
Mathematics Subject Classification (2020):
Primary 54H20, Secondary 37B25

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Hahng-Yun Chu
Department of Mathematics, Chungnam National University
Ahyoung Kim
Department of Mathematics, Chungnam National University
Jong-Suh Park
Department of Mathematics, Chungnam National University

Abstract





In this article, we deal with the notion of Ω-limit sets in dynamical systems. We show that the Ω-limit set of a compact subset of a phase space is quasi-attracting.





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Article Details

Issue
Vol. 27 No. 3 (2014)
Section
Articles