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IDEMPOTENT FUNCTIONS ON TOPOLOGICAL DYNAMICS
Hahng-Yun Chu,Ahyoung Kim,Se-Hyun Ku,Jong-Suh Park 충청수학회 2018 충청수학회지 Vol.31 No.1
In this article, we deal with notion of idempotent in dynamical systems and prove that both closure function and orbital function are idempotent functions on the systems.
EXPANSIVENESS ON INVERTIBLE ITERATED FUNCTION SYSTEMS
Hahng-Yun Chu,Minhee Gu,Se-Hyun Ku 충청수학회 2019 충청수학회지 Vol.32 No.4
In this article, we study the dynamics of invertible iterated function systems on compact spaces. We prove the equivalences for the notions of expansiveness on invertible iterated function systems.
SHADOWING PROPERTY ON MULTI-VALUED DYNAMICAL SYSTEMS
Hahng-Yun Chu,Se-Hyun Ku,Jong-Suh Park 충청수학회 2016 충청수학회지 Vol.29 No.1
In this article, we study various notions on multi-valued dynamical systems. We first investigate important tools to express the systems, and prove that the notion of chain recurrence is equivalent to the notion of nonwandering set on compact metric spaces.
A REMARK ON A STABILITY IN MULTI-VALUED DYNAMICS
Hahng-Yun Chu,Jong-suh Park,Seung Ki Yoo 충청수학회 2017 충청수학회지 Vol.30 No.1
In this article, we consider the Hyers-Ulam stability in multi-valued dynamics. We prove the Hyers-Ulam stability for a cubic set-valued functional equation on multi-valued dynamics by using several methods.
SOME REMARKS ON CHAIN PROLONGATIONS IN DYNAMICAL SYSTEMS
Hahng-Yun Chu,Ahyoung Kim,Jong-Suh Park 충청수학회 2013 충청수학회지 Vol.26 No.2
In this article, we discuss the notions of chain prolon- gation functions on locally compact spaces and get some results for the concepts. We show that chain prolongation function is a cluster map.
A TOPOLOGICAL CHARACTERIZATION OF -LIMIT SETS ON DYNAMICAL SYSTEMS
Hahng-Yun Chu,Ahyoung Kim,Jong-Suh Park 충청수학회 2014 충청수학회지 Vol.27 No.3
In this article, we deal with the notion of -limit sets in dynamical systems. We show that the -limit set of a compact subset of a phase space is quasi-attracting.
ON THE STABILITY OF AN ADDITIVE SET-VALUED FUNCTIONAL EQUATION
Hahng-Yun Chu,Seung Ki Yoo 충청수학회 2014 충청수학회지 Vol.27 No.3
In this paper, we consider the additive set-valued func-tional equation nf(Pni=1 xi) =Pni=1 f(xi) ©P1·i<j·n f(xi + xj) where n ¸ 2 is an integer, and prove the Hyers-Ulam stability of the functional equation.
SOME REMARKS ON CHAIN PROLONGATIONS IN DYNAMICAL SYSTEMS
Chu, Hahng-Yun,Kim, Ahyoung,Park, Jong-Suh Chungcheong Mathematical Society 2013 충청수학회지 Vol.26 No.2
In this article, we discuss the notions of chain prolongation functions on locally compact spaces and get some results for the concepts. We show that chain prolongation function is a cluster map.