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arXiv · 2603.16476

Robust transitivity without sectional-hyperbolicity

A. Arbieto·W. Britto·C. A. Morales·E. Rego
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Abstract

For any integer $n \geq 5$, we construct an $n$-dimensional $C^1$ 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].

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A. Arbieto, W. Britto, C. A. Morales, E. Rego. 2026-03-17. Robust transitivity without sectional-hyperbolicity. https://arxiv.org/abs/2603.16476

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