Topologically Transitive and Mixing Properties of Set‐Valued Dynamical Systems

Koon Sang Wong and Zabidin Salleh

Abstract and Applied Analysis, 2021, vol. 2021, issue 1

Abstract: We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set‐valued setting. We prove some implications of these two properties for set‐valued functions and generalize some results from a single‐valued case to a set‐valued case. We also show that both properties of set‐valued dynamical systems are equivalence for any compact intervals.

Date: 2021
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https://doi.org/10.1155/2021/5541105

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2021:y:2021:i:1:n:5541105

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