English

Robust minimality of iterated function systems with two generators

Dynamical Systems 2019-02-20 v1

Abstract

We prove that any compact manifold without boundary admits a pair of diffeomorphisms that generates C1C^1 robustly minimal dynamics. We apply the results to the construction of blenders and robustly transitive skew product diffeomorphisms.

Keywords

Cite

@article{arxiv.1301.0400,
  title  = {Robust minimality of iterated function systems with two generators},
  author = {Ale Jan Homburg and Meysam Nassiri},
  journal= {arXiv preprint arXiv:1301.0400},
  year   = {2019}
}

Comments

16 pages, 2 figures

R2 v1 2026-06-21T23:03:17.118Z