English

A type of shadowing and distributional chaos

Dynamical Systems 2020-11-10 v1

Abstract

For any continuous self-map of a compact metric space, we prove a saturation of distributionally scrambled Mycielski sets under a type of shadowing and the chain transitivity.

Keywords

Cite

@article{arxiv.2011.04248,
  title  = {A type of shadowing and distributional chaos},
  author = {Noriaki Kawaguchi},
  journal= {arXiv preprint arXiv:2011.04248},
  year   = {2020}
}
R2 v1 2026-06-23T20:00:16.588Z