Transitivity and Mixing Properties of Set-Valued Dynamical Systems
Dynamical Systems
2019-03-29 v1
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 topological properties for set-valued functions and generalize some results from single-valued case to set-valued case. We also show that both properties of set-valued dynamical systems are equivalence for any compact intervals.
Keywords
Cite
@article{arxiv.1903.11832,
title = {Transitivity and Mixing Properties of Set-Valued Dynamical Systems},
author = {Wong Koon Sang and Zabidin Salleh},
journal= {arXiv preprint arXiv:1903.11832},
year = {2019}
}
Comments
10 pages