English

Homoclinic classes with shadowing property

Dynamical Systems 2025-05-29 v5

Abstract

We show that for C1C^1 generic diffeomorphisms, an isolated homoclinic class is shadowable if and only if homoclinic class is hyperbolic basic set.

Keywords

Cite

@article{arxiv.1101.1348,
  title  = {Homoclinic classes with shadowing property},
  author = {Manseob Lee},
  journal= {arXiv preprint arXiv:1101.1348},
  year   = {2025}
}

Comments

8 pages

R2 v1 2026-06-21T17:08:41.335Z