Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems

Koon Sang Wong and Zabidin Salleh

Abstract and Applied Analysis, 2021, vol. 2021, 1-7

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:5541105

DOI: 10.1155/2021/5541105

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