Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems
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...
Paper Details
Title
Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems
Published Date
May 14, 2021
Volume
2021
Pages
1 - 7
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