Robust transitivity without sectional-hyperbolicity
Dynamical Systems
2026-03-18 v1
Abstract
For any integer , we construct an -dimensional vector field exhibiting a robustly transitive singular attractor which is not sectional-hyperbolic. Nevertheless, the attractor is singular-hyperbolic. This provides the first such examples improving some features of the constructions in [17, 32].
Keywords
Cite
@article{arxiv.2603.16476,
title = {Robust transitivity without sectional-hyperbolicity},
author = {A. Arbieto and W. Britto and C. A. Morales and E. Rego},
journal= {arXiv preprint arXiv:2603.16476},
year = {2026}
}