On isolated periodic points of diffeomorphisms with expanding attractors of codimension 1

Marina Barinova

On isolated periodic points of diffeomorphisms with expanding attractors of codimension 1

Dynamical Systems 2024-04-25 v1

Authors: Marina Barinova

Abstract

In the paper we consider an $\Omega$ -stable 3-diffeomorphism, chain recurrent set of which consists of isolated periodic points and expanding attractors of codimension 1, orientable or not. We estimate a minimum number of isolated periodic points using information about the structure of the attractors.

Keywords

diffeomorphism expanding attractor periodic points chain recurrent set codimension

Cite

@article{arxiv.2404.15699,
  title  = {On isolated periodic points of diffeomorphisms with expanding attractors of codimension 1},
  author = {Marina Barinova},
  journal= {arXiv preprint arXiv:2404.15699},
  year   = {2024}
}

Comments

12 pages, 4 figures

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