Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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DYNAMICAL PROPERTIES ON ITERATED FUNCTION SYSTEMS

  • Chu, Hahng-Yun (Department of Mathematics, Chungnam National University) ;
  • Gu, Minhee (Department of Mathematics, Chungnam National University) ;
  • Ku, Se-Hyun (Department of Mathematics, Chungnam National University) ;
  • Park, Jong-Suh (Department of Mathematics, Chungnam National University)
  • Received : 2020.02.11
  • Accepted : 2020.02.14
  • Published : 2020.02.15
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Abstract

Let X be a compact space and Λ a finite index set. We deal with dynamical properties of iterated function systems on X. For an iterated function system 𝓕 on X, we prove that 𝓕 is c-expansive if and only if 𝓕k is also c-expansive for each k ∈ ℕ. Furthermore we prove that the c-expansiveness of 𝓕 is equivalent to the original expansiveness of the shift map of it.

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References

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