English

On the distality and expansivity of certain maps on spheres

Dynamical Systems 2023-09-12 v2

Abstract

Any affine map on the (n+1)-dimensional Euclidean space gives rise to a natural map on the n-dimensional sphere whose dynamical aspects are not so well-studied in the literature. We explore the dynamical aspects of these maps by investigating about their distality and expansivity.

Keywords

Cite

@article{arxiv.2209.05236,
  title  = {On the distality and expansivity of certain maps on spheres},
  author = {Manoj Choudhuri and Gianluca Faraco and Alok Kumar Yadav},
  journal= {arXiv preprint arXiv:2209.05236},
  year   = {2023}
}