대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제34권3호
  • /
  • Pages.981-989
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  • 2019
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON THE DENSITY OF VARIOUS SHADOWING PROPERTIES

  • Koo, Namjip (Department of Mathematics Chungnam National University) ;
  • Tsegmid, Nyamdavaa (Department of Mathematics Chungnam National University)
  • 투고 : 2018.07.03
  • 심사 : 2018.10.18
  • 발행 : 2019.07.31
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초록

In this paper we deal with some shadowing properties of discrete dynamical systems on a compact metric space via the density of subdynamical systems. Let $f:X{\rightarrow}X$ be a continuous map of a compact metric space X and A be an f-invariant dense subspace of X. We show that if $f{\mid}_A:A{\rightarrow}A$ has the periodic shadowing property, then f has the periodic shadowing property. Also, we show that f has the finite average shadowing property if and only if $f{\mid}_A$ has the finite average shadowing property.

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참고문헌

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