English

On topological properties of compact attractors on Hausdorff spaces

Dynamical Systems 2026-01-12 v2 Optimization and Control

Abstract

We characterize when a compact, invariant, asymptotically stable attractor on a locally compact Hausdorff space is a strong deformation retract of its domain of attraction.

Keywords

Cite

@article{arxiv.2310.13816,
  title  = {On topological properties of compact attractors on Hausdorff spaces},
  author = {Wouter Jongeneel},
  journal= {arXiv preprint arXiv:2310.13816},
  year   = {2026}
}

Comments

Revised version, to appear at the ECC 2024