Robust transitivity without sectional-hyperbolicity
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866912970994352128 |
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| author | Arbieto, A. Britto, W. Morales, C. A. Rego, E. |
| author_facet | Arbieto, A. Britto, W. Morales, C. A. Rego, E. |
| contents | 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]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16476 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Robust transitivity without sectional-hyperbolicity Arbieto, A. Britto, W. Morales, C. A. Rego, E. Dynamical Systems Primary 37C10, Secondary 37D30 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]. |
| title | Robust transitivity without sectional-hyperbolicity |
| topic | Dynamical Systems Primary 37C10, Secondary 37D30 |
| url | https://arxiv.org/abs/2603.16476 |