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http://dx.doi.org/10.14403/jcms.2019.32.4.453

DESCRIPTION OF FLOWS NEAR CLOSED SETS WITH COMPACT BOUNDARY  

Koo, Ki-Shik (Department of Computer and Information Security Daejeon University)
Publication Information
Journal of the Chungcheong Mathematical Society / v.32, no.4, 2019 , pp. 453-459 More about this Journal
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.
Keywords
stable; asymptotically stable; saddle set; attractor;
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  • Reference
1 N. Aoki, Topological Dynamics, Elsevier Sci. Pub., Tokyo, 1989.
2 N. Bhatia and G. Szego, Dynamical Systems: Stability Theory and Applications, Springer-Verlag, Berlin, 1967.
3 R. Knight, Unstable Weak Attractors, Proc. Amer. Math. Soc., 86 (1982), 586-590.   DOI
4 R. Knight, Zubov's Condition Revisited, Proc. Edinburgh Math. Soc., 26 (1983), 247-253.   DOI
5 K. Koo, Characterization of flows near closed sets, J. Chungcheong Math. Soc., 29 (2016), 23-28.   DOI
6 K. Koo, On the flows near closed sets, Natural Sci., 23 (2012), 169-173.