English

Stably weakly shadowing transitive sets and dominated splittings

Dynamical Systems 2010-03-11 v1

Abstract

We prove that for any C1C^1-stably weakly shadowing transitive set Λ\Lambda, either Λ\Lambda is a sink or a source, or Λ\Lambda admits a dominated splitting.

Keywords

Cite

@article{arxiv.1003.2104,
  title  = {Stably weakly shadowing transitive sets and dominated splittings},
  author = {Dawei Yang},
  journal= {arXiv preprint arXiv:1003.2104},
  year   = {2010}
}

Comments

4 pages

R2 v1 2026-06-21T14:56:06.327Z