DESCRIPTION OF FLOWS NEAR CLOSED SETS WITH COMPACT BOUNDARY

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Published: Nov 15, 2019
DOI: https://doi.org/10.14403/jcms.2019.32.4.453
Keywords:
stable, asymptotically stable, saddle set, attractor
Mathematics Subject Classification (2020):
Primary 54H20

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Ki-Shik Koo
Department of Computer and Information Security, Daejeon University

Abstract





In this paper, we analyze the behaviour of flows near closed sets with compact boundary which contains no semi-orbits. Also, we give a condition that a closed invariant set is to be asymptotically stable.





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Article Details

Issue
Vol. 32 No. 4 (2019)
Section
Articles