[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2020.33.1.173

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)

Publication Information

Journal of the Chungcheong Mathematical Society / v.33, no.1, 2020 , pp. 173-179 More about this Journal

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 𝓕^k 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.

Keywords

iterated function systems; expansive; c-expansive;

Citations & Related Records

Times Cited By KSCI : 2 (Citation Analysis)

Reference
Cited By KSCI

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