• Title/Summary/Keyword: Cho Ji-hoon

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EQUICONTINUITY OF ITERATES OF A MAP ON THE CIRCLE

  • Cho, Seong-Hoon;Min, Kyung-Jin;Yang, Seung-Kab
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.2
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    • pp.239-244
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    • 1993
  • The purpose of this paper is to determine conditions under which equicontinuity of the family of iterates {f$^{n}$ } of a continuous function that maps the circle S$^{1}$ into itself does occur. We shall see that equicontinuity of the family of iterates {f$^{n}$ } occurs only under special cases. Actually, we will show that this happens only for rotations when degree of the function is 1, and for involutions when degree of the function is -1.

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NONWANDERING POINTS OF A MAP ON THE CIRCLE

  • Bae, Jong-Sook;Cho, Seong-Hoon;Min, Kyung-Jin;Yang, Seung-Kab
    • Journal of the Korean Mathematical Society
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    • v.33 no.4
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    • pp.1115-1122
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    • 1996
  • In study of the dynamics of a map f from a topological space X to itself, a central role is played by the various recursive properties of the points of X. One such property is periodicity. A weaker property is that of being nonwandering. Intermediate recursive properties include almost periodicity and recurrence.

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RECURRENT POINTS OF THE CIRCLE MAP

  • Cho, Seong Hoon;Min, Kyung Jin;Yang, Seung Kab
    • Journal of the Chungcheong Mathematical Society
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    • v.8 no.1
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    • pp.153-159
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    • 1995
  • In this paper, we study the inclusion realtion between recursive sets. And we prove that if $\overline{R(f)}{\backslash}R(f)$ is not empty, then it is infinite, and we characterize the necessary and sufficent condition for which $\overline{R(f)}{\backslash}R(f)$ is countable.

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A Study on the Library Development for Power Electronics Circuits Analysis

  • Seo, Young-Soo;Hwang, Lak-Hoon;Cho, Moon-Taek;Ho bin Song;Lee, Chun-Sang;Sang-Yong;Park, Ki-Soo
    • Proceedings of the IEEK Conference
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    • 2000.07b
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    • pp.997-1000
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    • 2000
  • The purpose of this paper is to verify the appropriation of power electronics circuit by applying the most powerful and widely used simulator PSPICE and SIMULINK for adapted variable control technics. Power electronics librarys modeled and adapted to circuit. It is proved that simulation and excute are almost same.

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RECURSIVE PROPERTIES OF A MAP ON THE CIRCLE

  • Cho, Seong-Hoon;Min, Kyung-Jin;Yang, Seung-Kab
    • The Pure and Applied Mathematics
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    • v.2 no.2
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    • pp.157-162
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    • 1995
  • Let I be the interval, $S^1$ the circle and let X be a compact metric space. And let $C^{circ}(X,\;X)$ denote the set of continuous maps from X into itself. For any f$f\in\;C\circ(X,\;X),\;let\;P(f),\;R(f),\;\Gamma(f),\;\Lambda(f)\;and\;\Omega(f)$ denote the collection of the periodic points, recurrent points, ${\gamma}-limit{\;}points,{\;}{\omega}-limit$ points and nonwandering points, respectively.(omitted)

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