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arXiv · 1711.09473

Intransitive sectional-Anosov flows on 3-manifolds

S. Bautista·A. M. López·H. M. Sánchez
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Abstract

For each $n\in\mathbb{Z}^+$, we show the existence of Venice masks (i.e. intransitive sectional-Anosov flows with dense periodic orbits) containing $n$ equilibria on certain compact 3-manifolds. These examples are characterized because of the maximal invariant set is a finite union of homoclinic classes. Here, the intersection between two different homoclinic classes is contained in the closure of the union of unstable manifolds of the singularities.

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S. Bautista, A. M. López, H. M. Sánchez. 2017-11-26. Intransitive sectional-Anosov flows on 3-manifolds. https://arxiv.org/abs/1711.09473

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