Shadowing, transitivity and a variation of omega-chaos
Dynamical Systems
2023-07-14 v1
Abstract
We study a special type of shadowing (DSP) of chain transitive continuous self-maps of compact Hausdorff spaces. We prove some basic properties of DSP. As application of DSP, we obtain sufficient conditions for a statistical variant of -chaos and prove the topological genericity of it. We also consider topological distribution of irregular points under the assumption of DSP.
Keywords
Cite
@article{arxiv.2307.06512,
title = {Shadowing, transitivity and a variation of omega-chaos},
author = {Noriaki Kawaguchi},
journal= {arXiv preprint arXiv:2307.06512},
year = {2023}
}
Comments
46 pages